JP2017013437A - Computer-aided resin behavior analysis device - Google Patents

Abstract

PROBLEM TO BE SOLVED: To provide a computer-aided resin behavior analysis device enabling prediction of deterioration in a structural strength of a molded product due to fiber bending when analyzing a behavior when a fiber-reinforced resin is molded in a mold on a predetermined molding condition through a simulation program stored in a computer.SOLUTION: An analysis device (S10-S42) which analyzes a behavior when a resin to which a plurality of continuous fibers and discontinuous long fibers are mixed on a predetermined molding condition through a simulation program stored in a computer includes making the simulation program select at least a part of fiber group out of the plurality of fibers when an analysis condition including a joint F of the fiber is input, calculating a bending ratio Af of the respective fibers constituting the fiber group on the basis of the analysis condition, evaluating the bending of the respective fibers on the basis of the bending ratio Af, and evaluating the strength of the fiber group selected on the basis of the evaluation result (S44).SELECTED DRAWING: Figure 2

Description

  The present invention relates to a computer-aided resin behavior analysis apparatus, and more specifically, analyzes a behavior when molding a resin mixed with continuous fibers and discontinuous long fibers in a mold through a simulation program stored in a computer. The present invention relates to a resin behavior analysis apparatus of Computer Aided Engineering.

  2. Description of the Related Art Conventionally, a technique for reducing a decrease in structural strength of a molded product due to fiber bending that occurs during press molding of a fiber reinforced resin is known. For example, in the technique described in Patent Document 1, when a fiber reinforced resin material is manufactured by filling a resin in a cavity, a continuous fiber reinforcing material is placed on a core slidably provided in a lower mold. And push it up to embed it in the resin.

  In addition, the technique described in Patent Document 2 is such that when a fiber reinforced resin material is disposed on a resin base material as a reinforcing material to manufacture a resin molded body, a movable pin is passed through the fiber reinforced resin in the lower mold, Molding is performed while being introduced into the through hole.

Japanese Patent No. 5418684 JP2013-022852A

  By the way, although the technique of patent documents 1 and 2 confirms the structural strength of a prototype (molded product) in research and development, since an actual molded product is required, it takes a lot of work. To solve this, it is conceivable to predict the structural strength or elastic modulus (rigidity) of the molded product using resin behavior analysis. However, the structural strength or elastic modulus (rigidity) of the molded product is reduced due to fiber bending. There is no analysis technology for.

  Therefore, the object of the present invention is to solve the above-mentioned problems and store the behavior when a fiber reinforced resin mixed with a plurality of continuous fibers and discontinuous long fibers is molded in a mold under predetermined molding conditions in a computer. It is an object of the present invention to provide a computer-aided resin behavior analysis apparatus capable of predicting a decrease in structural strength or a decrease in elastic modulus (rigidity) of a molded product due to fiber bending when an analysis is performed via a simulation program.

  In order to solve the above-described problem, in Claim 1, the bending of the fiber when a resin in which a plurality of continuous fibers and discontinuous long fibers are mixed is molded in a mold under predetermined molding conditions. In the resin behavior analysis apparatus for analyzing behavior via a simulation program stored in a computer, when the simulation program receives an analysis condition including at least a plurality of nodes F of the plurality of fibers, the plurality of And selecting a fiber group of at least a part of the fibers, calculating a bending rate Af of each of the fibers constituting the selected fiber group based on the input analysis condition, The bending of each of the fibers is evaluated based on the bending rate Af of the fiber, and the selection is performed based on the bending evaluation result of each of the obtained fibers. It was constructed as consisting of the step of evaluating the strength or elastic modulus of the fiber group a (rigid).

  In the computer-aided resin behavior analysis apparatus according to claim 2, the simulation program calculates the overall strength of the plurality of fibers based on the strength or elastic modulus (rigidity) evaluation result of the obtained fiber group. Or it comprised so that the step which evaluates an elastic modulus (rigidity) might be included.

  In the computer-aided resin behavior analysis apparatus according to claim 3, the step of evaluating the bending of each of the fibers compares the calculated bending rate Af of each of the fibers with a predetermined threshold value. The method comprises the steps of classifying and evaluating for each predetermined range, and the step of evaluating the strength or elastic modulus (rigidity) of the selected fiber group calculates the ratio of fibers belonging to the predetermined range and calculates And a step of calculating a strength or elastic modulus (stiffness) evaluation value of the selected fiber group based on the ratio of the fibers.

  In the computer-aided resin behavior analysis apparatus according to claim 4, the step of evaluating the strength or elastic modulus (rigidity) of the selected fiber group may include the ratio of the fibers belonging to the predetermined range. It comprised so that it might consist of the step displayed and evaluated for every range.

  In the computer-aided resin behavior analysis apparatus according to claim 5, the step of evaluating the strength or elastic modulus (rigidity) of the selected fiber group includes the calculated strength or elastic modulus (rigidity) of the fiber group. ) It is configured to include a step of calculating and evaluating the strength or elastic modulus (rigidity) of the selected fiber group based on a preset characteristic from the evaluation value.

  In the computer-aided resin behavior analysis apparatus according to claim 6, the fiber bends when a resin in which a plurality of continuous fibers and discontinuous long fibers are mixed is molded in a mold under predetermined molding conditions. In the resin behavior analysis apparatus for analyzing behavior via a simulation program stored in a computer, when the simulation program receives an analysis condition including at least a plurality of nodes F of the plurality of fibers, the plurality of And selecting a fiber group of at least a part of the fibers, calculating a bending rate Af of each of the fibers constituting the selected fiber group based on the input analysis condition, The bending rate Af of the fiber is related to the display color to evaluate the bending of each of the fibers, and the bending evaluation result of each of the obtained fibers is evaluated. It was constructed as consisting of the step of evaluating the strength or elastic modulus (stiffness) the selected fiber group based on.

  In the computer-aided resin behavior analysis apparatus according to claim 7, the simulation program calculates the overall strength of the plurality of fibers based on the strength or elastic modulus (rigidity) evaluation result of the obtained fiber group. Or it comprised so that the step which evaluates an elastic modulus (rigidity) might be included.

  In the computer-aided resin behavior analysis apparatus according to claim 8, the step of calculating the bending rate Af of each fiber is an evaluation length obtained from at least one node Fn among the plurality of nodes F. The step of calculating the bending rate Af of each of the fibers predicted from the molding conditions with respect to the thickness, and the step of evaluating the bending of each of the fibers is based on the bending rate Af with respect to the calculated evaluation length. It comprised so that it might consist of the step which evaluates the bending of each said fiber.

  In the computer-aided resin behavior analysis apparatus according to claim 9, the step of calculating the bending rate Af of each of the fibers includes connecting at least one node Fn of the plurality of nodes F with a curve or a straight line. The method comprises a step of calculating the bending rate Af of each of the fibers based on the three-dimensional figure generated in this manner.

  In the computer-aided resin behavior analysis apparatus according to claim 10, the step of calculating the bending rate Af of each of the fibers includes connecting at least one node Fn of the plurality of nodes F with a curve or a straight line. The method comprises a step of calculating the bending rate Af of each of the fibers based on a second three-dimensional graphic generated by connecting points on the three-dimensional graphic generated by a curve or a straight line.

  In the computer-aided resin behavior analysis apparatus according to claim 11, the second three-dimensional figure is configured to be a triangle.

  In the computer-aided resin behavior analysis apparatus according to claim 12, the step of calculating the bending rate Af of each of the fibers connects the node Fn and the nodes Fn-1 and Fn + 1 adjacent thereto. The triangle having the line FnFn-1FnFn + 1 as the hypotenuse and the line Fn-1Fn + 1 connecting the adjacent nodes Fn-1 and Fn + 1 as the base is set, and the node Fn or any point in the vicinity thereof is set. To calculate the aspect ratio As1 by dividing the length h1 of the perpendicular directed to the base from the total length of the hypotenuses FnFn-1FnFn + 1, Based on the calculated aspect ratio As1, the bending rate Af of each of the fibers is calculated.

  In the computer-aided resin behavior analysis apparatus according to claim 13, the step of calculating the bending rate Af of each fiber connects the node Fn + 1 and the nodes Fn and Fn + 2 adjacent thereto. The triangle having the line Fn + 1FnFn + 1Fn + 2 as the hypotenuse and the line FnFn + 2 connecting the adjacent nodes Fn and Fn + 2 as the base is set, and the node Fn + 1 or any point in the vicinity thereof is set. To calculate the aspect ratio As2 by dividing the length h2 of the perpendicular directed to the bottom side by the total length of the hypotenuses Fn + 1FnFn + 1Fn + 2 And it comprised so that it might consist of the step which calculates the bending rate Af of each said fiber based on the calculated aspect-ratio As2 and the aspect-ratio As1 calculated about the said node Fn.

  In the computer-aided resin behavior analysis apparatus according to claim 14, the step of calculating the bending rate Af of each of the fibers includes the node Fn + 2 and the nodes Fn + 2 and Fn + m adjacent to / not adjacent to the node Fn + 2. And the line Fn + 2Fn + 1Fn + 2Fn + m that connects to each other is set as the hypotenuse and the triangle with the line Fn + 1Fn + m connecting adjacent nodes Fn + 1 and Fn + m as the base is set. The length hm of the perpendicular line directed to the base from Fn + 2 or an arbitrary point in the vicinity thereof is calculated, and the calculated length hm of the perpendicular line is the length of the hypotenuse Fn + 2Fn + 1Fn + 2Fn + m The aspect ratio Asm is calculated by dividing by the total value of the above, and the bending of each of the fibers based on the calculated aspect ratio Asm, the aspect ratios As1 and As2 calculated for the node Fn and the node Fn + 1 It consists of steps to calculate rate Af .

  In the computer-aided resin behavior analysis apparatus according to claim 15, the step of calculating the bending rate Af of each of the fibers connects the node Fn and the nodes Fn-1 and Fn + 1 adjacent thereto. The line PFn-1 PFn + 2 connecting any arbitrary point P on the line FnFn-1FnFn + 1 and the adjacent nodes Fn-1, Fn + 2 is set as the hypotenuse and the nodes Fn-1, Fn + 2 are connected. The triangle whose base is the line Fn-1Fn + 2 is set, the length h1 of the perpendicular directed from the arbitrary point P to the base is calculated, and the length h1 of the calculated perpendicular is set to the hypotenuse PFn The aspect ratio As1 is calculated by dividing by the total length of -1 PFn + 2, then the aspect ratio Asn is calculated for other nodes, and the respective fibers are calculated based on the calculated aspect ratios As1 and Asn. From the step of calculating the bending rate Af of It was constructed as.

  In the computer-aided resin behavior analysis apparatus according to claim 16, the step of calculating the bending rate Af of each of the fibers includes the bending rate Af of each of the fibers based on an average value of the calculated values. It comprised so that it might consist of the step which calculates.

  In the computer-aided resin behavior analysis apparatus according to claim 17, the step of calculating the bending rate Af of each of the fibers includes the bending rate Af of each of the fibers based on a maximum value of the calculated values. It comprised so that it might consist of the step which calculates.

  In the computer-aided resin behavior analysis apparatus according to claim 18, the step of calculating the bending rate Af of each of the fibers is based on a coordinate position of the fibers in a three-dimensional space in the cavity of the mold. It comprised so that it might consist of the step which calculates the bending rate Af of each said fiber.

  In the computer-aided resin behavior analysis apparatus according to claim 19, the evaluation length is configured to be a length from a start point to an end point of the three-dimensional figure.

  In the computer-aided resin behavior analysis apparatus according to claim 20, the simulation program receives data including at least a plurality of nodes F of the plurality of fibers obtained through an analyzer. Selecting at least a part of the plurality of fibers, calculating a bending rate Af of each fiber constituting the selected fiber group based on the input data, and calculating the calculated Evaluating the bending of each of the fibers based on the bending rate Af of each of the fibers, and evaluating the strength or elastic modulus of the selected fiber group based on the bending evaluation result of each of the obtained fibers. Constructed to include.

  In the computer-aided resin behavior analysis apparatus according to claim 1, a simulation program for analyzing the behavior of the fiber-mixed resin when molding in a mold under predetermined molding conditions includes a plurality of fibers of a plurality of fibers. When an analysis condition including at least the node F is input, at least a part of the plurality of fibers is selected, and each of the fibers constituting the fiber group selected based on the input analysis condition is selected. The bending rate Af is calculated, the bending of each fiber is evaluated based on the calculated bending rate Af of each fiber, and the strength of the fiber group selected based on the obtained bending evaluation result of each fiber or Since the elastic modulus (stiffness) is composed of steps, the fiber group selected based on the bending rate Af of each fiber, that is, the strength of the molded product. It may be assessed range strength or modulus of evaluating modulus (stiffness) and (stiffness) quantitatively.

  In the computer-aided resin behavior analysis apparatus according to claim 2, the simulation program calculates the overall strength or elastic modulus of the plurality of fibers based on the obtained strength or elastic modulus (rigidity) evaluation result of the fiber group. Since it is configured to include a step for evaluating (rigidity), in addition to the above-described effects, the whole of a plurality of fibers, that is, a molded product when a resin in which a plurality of fibers are mixed is molded in a mold. The strength or elastic modulus (rigidity) can be quantitatively evaluated.

  In the computer-aided resin behavior analysis apparatus according to claim 3, the step of evaluating the bending of each fiber is performed by comparing the calculated bending rate Af of each fiber with a predetermined threshold value. The method comprises the steps of classifying and evaluating each range, and the step of evaluating the strength or elastic modulus (rigidity) of the selected fiber group calculates the proportion of fibers belonging to a predetermined range, and calculates the calculated proportion of fibers. In addition to the above-described effects, the strength of the range in which the strength or elastic modulus (rigidity) is evaluated in the molded product, because it is configured to include the step of calculating the evaluation value of the strength or elastic modulus (rigidity) of the selected fiber group. Alternatively, the elastic modulus (rigidity) can be quantitatively evaluated based on the fiber ratio of a specific bending rate such as a bending rate that contributes to a decrease in strength or a reduction in elastic modulus (rigidity).

  In the computer-aided resin behavior analysis apparatus according to claim 4, the step of evaluating the strength or elastic modulus (rigidity) of the selected fiber group is configured to calculate a ratio of fibers belonging to a predetermined range for each predetermined range. Since it is configured to include the step of displaying and evaluating, in addition to the above-described effects, the strength or elastic modulus (rigidity) in the range in which the strength or elastic modulus (rigidity) is evaluated in the molded product is numerically displayed and evaluated. It is possible to compare and evaluate the results of changing the molding conditions.

  In the computer-aided resin behavior analysis apparatus according to claim 5, the step of evaluating the strength or elastic modulus (rigidity) of the selected fiber group is performed by evaluating the calculated strength or elastic modulus (rigidity) of the fiber group. In addition to the above-described effects, the strength or elastic modulus of the molded product is obtained by calculating and evaluating the strength or elastic modulus (rigidity) of the fiber group selected based on the preset characteristics from the values. It is possible to calculate the strength or elastic modulus (rigidity) within the range to evaluate (rigidity) with high accuracy and confirm whether the strength or elastic modulus (rigidity) is sufficient compared to the required strength or elastic modulus (rigidity). it can.

  In the computer-aided resin behavior analysis apparatus according to claim 6, a simulation program for analyzing the behavior of the fiber-mixed resin when molding in a mold under a predetermined molding condition includes a plurality of fibers of a plurality of fibers. When an analysis condition including at least the node F is input, at least a part of the plurality of fibers is selected, and each of the fibers constituting the fiber group selected based on the input analysis condition is selected. The bending rate Af is calculated, the calculated bending rate Af of each fiber is correlated with the display color, the bending of each of the fibers is evaluated, and the selected fiber based on the obtained bending evaluation result of each fiber Since it comprises the step which evaluates the intensity | strength or elastic modulus (rigidity) of a group, based on the bending rate Af of each fiber, strength or elastic modulus in a molded article Strength or elastic modulus in the range of evaluating stiffness) (stiffness) visually displayed to be able to evaluate, it is easy to evaluate and compare the result of changing the molding conditions.

  In the computer-aided resin behavior analysis apparatus according to claim 7, the simulation program calculates the overall strength or elastic modulus of the plurality of fibers based on the obtained strength or elastic modulus (rigidity) evaluation result of the fiber group. Since it is configured to include a step of evaluating (rigidity), in addition to the above-described effects, the strength or elastic modulus (rigidity) of the molded product can be quantitatively evaluated.

  In the computer-aided resin behavior analysis apparatus according to claim 8, the step of calculating the bending rate Af of each fiber is an evaluation length obtained from at least one node Fn among the plurality of nodes F. The step of calculating the bending rate Af of each of the fibers predicted from the molding conditions for the step of evaluating the bending of each of the fibers based on the bending rate Af with respect to the calculated evaluation length. Since it comprises so that it might consist of the step which evaluates the bending of each fiber, in addition to the above-mentioned effect, a small wave | undulation (small bending) is small by evaluating the bending of each fiber based on the bending rate Af with respect to evaluation length. With an evaluation length, a large bend can also be evaluated with a large evaluation length, which makes it possible to form a bend. Bets on can be quantitatively evaluated, it can also be quantitatively evaluated complex bends composed of bend larger and fine waviness.

  In addition, since it is possible to determine the bending of each fiber properly, it is easy to find the conditions that reduce the bending of each fiber, and the molding conditions can be changed to change the strength or elastic modulus (rigidity of the product). ) Can also be raised.

  In the computer-aided resin behavior analysis apparatus according to claim 9, the step of calculating the bending rate Af of each fiber is generated by connecting at least one node Fn of the plurality of nodes F with a curve or a straight line. Since the configuration includes the step of calculating the bending rate Af of each fiber on the basis of the three-dimensional figure to be formed, in addition to the above-described effects, the bending rate Af of the fiber as a numerical value can be calculated easily and accurately. .

  In the computer-aided resin behavior analysis apparatus according to claim 10, the step of calculating the bending rate Af of each fiber is generated by connecting at least one node Fn of the plurality of nodes F with a curve or a straight line. The above-described effect is obtained because it comprises a step of calculating the bending rate Af of each fiber based on the second three-dimensional figure generated by connecting the points on the three-dimensional figure by a curve or a straight line. In addition, the bending rate Af of the fiber as a numerical value can be calculated more easily.

  In the computer-aided resin behavior analysis apparatus according to claim 11, since the second three-dimensional figure is configured to be a triangle, the fiber bending rate Af as a numerical value can be further simplified in addition to the effects described above. Can be calculated.

  In the computer-aided resin behavior analysis apparatus according to claim 12, the step of calculating the bending rate Af of each fiber includes a line FnFn connecting the node Fn and the adjacent nodes Fn-1, Fn + 1. -1FnFn + 1 is set as the hypotenuse, and a triangle having a base Fn-1Fn + 1 connecting adjacent nodes Fn-1 and Fn + 1 is set, and the node Fn or an arbitrary point near it is directed to the base The length h1 of the calculated perpendicular is calculated, the aspect ratio As1 is calculated by dividing the calculated length h1 of the perpendicular by the total length of the hypotenuses FnFn-1FnFn + 1, and the calculated aspect ratio As1. Since the configuration includes the step of calculating the bending rate Af of each fiber based on the above, in addition to the above effects, the bending rate Af of the fiber as a numerical value can be easily calculated.

  In the computer-aided resin behavior analysis apparatus according to claim 13, the step of calculating the bending rate Af of each fiber is a line Fn connecting the node Fn + 1 and the nodes Fn and Fn + 2 adjacent thereto. Set a triangle with + 1FnFn + 1Fn + 2 as the hypotenuse and the base of line FnFn + 2 connecting adjacent nodes Fn and Fn + 2, from the node Fn + 1 or any nearby point toward the base The length h2 of the calculated perpendicular is calculated, the aspect ratio As2 is calculated by dividing the calculated length h2 of the perpendicular by the total length of the hypotenuses Fn + 1FnFn + 1Fn + 2, and the calculated aspect ratio Since it comprises the step which calculates the bending rate Af of each fiber based on As2 and the aspect ratio As1 calculated about the node Fn, in addition to the above-mentioned effect, the bending rate Af of the fiber as a numerical value can be simplified and Spirit It can be well calculated.

  In the computer-aided resin behavior analysis apparatus according to claim 14, the step of calculating the bending rate Af of each fiber includes the node Fn + 2 and the nodes Fn + 2 and Fn + m adjacent to / not from the node Fn + 2. Set a triangle with the line Fn + 2Fn + 1Fn + 2Fn + m connecting to each other as the hypotenuse and the line Fn + 1Fn + m connecting adjacent nodes Fn + 1 and Fn + m as the base, and the node Fn + 2 or Calculate the length hm of the perpendicular from the arbitrary point in the vicinity to the base, and divide the calculated length hm by the total length of the hypotenuse Fn + 2Fn + 1Fn + 2Fn + m The aspect ratio Asm is calculated, and the bending ratio Af of each fiber is calculated based on the calculated aspect ratio Asm and the aspect ratios As1 and As2 calculated for the node Fn and the node Fn + 1. So, in addition to the effects described above, the fiber as a numerical value And simple bending ratio Af can be calculated more accurately.

  In the computer-aided resin behavior analysis apparatus according to claim 15, in the step of calculating the bending rate Af of each fiber, the line FnFn connecting the node Fn and the adjacent nodes Fn-1, Fn + 1, respectively. A line PFn-1PFn + 2 connecting any arbitrary point P on -1FnFn + 1 and the adjacent nodes Fn-1, Fn + 2 is a hypotenuse and a line Fn connecting the nodes Fn-1, Fn + 2 Set a triangle with -1Fn + 2 as the base, calculate the length h1 of the perpendicular from any point P to the base, and calculate the length h1 of the perpendicular as the length of the hypotenuse PFn-1PFn + 2 The aspect ratio As1 is calculated by dividing by the sum of the values, then the aspect ratio Asn is calculated for the other nodes, and the bending ratio Af of each fiber is calculated based on the calculated aspect ratios As1 and Asn. In addition to the effects described above, And simple bending ratio Af of the fiber as the value can be calculated more accurately.

  In the computer-aided resin behavior analysis apparatus according to claim 16, the step of calculating the bending rate Af of each fiber calculates the bending rate Af of each fiber based on the average value of the calculated values. Since the configuration is made up of steps, in addition to the above-described effects, the fiber bending rate Af as a numerical value can be calculated easily and more accurately.

  In the computer-aided resin behavior analysis apparatus according to claim 17, the step of calculating the bending rate Af of each fiber calculates the bending rate Af of each fiber based on the maximum value of the calculated values. Since the configuration is made up of steps, in addition to the above-described effects, the fiber bending rate Af as a numerical value can be calculated easily and more accurately.

  In the computer-aided resin behavior analysis apparatus according to claim 18, the step of calculating the bending rate Af of each fiber includes the step of calculating each fiber based on the coordinate position in the three-dimensional space of the fiber in the cavity of the mold. Therefore, the fiber bending rate Af as a numerical value can be calculated more easily.

  In the computer-aided resin behavior analysis apparatus according to claim 19, since the evaluation length is configured to be the length from the start point to the end point of the three-dimensional figure, in addition to the above-described effects, the numerical value of the fiber The bending rate Af can be calculated with higher accuracy.

  In the computer-aided resin behavior analysis apparatus according to claim 20, when the simulation program receives data including at least a plurality of nodes F of a plurality of fibers obtained through the analyzer, a plurality of simulation programs are input. And selecting a fiber group of at least some of the fibers, calculating a bending rate Af of each fiber constituting the selected fiber group based on the input data, and calculating the calculated bending rate of each fiber Since the bending of each fiber is evaluated based on Af and the strength or elastic modulus of the selected fiber group is evaluated based on the obtained bending evaluation result of each fiber, the actual molding is performed. Data obtained by analyzing the product with an analyzer such as an X-ray CT scan (the shape of the fiber in the actual molded product, nodes) is the same as the simulation data. It can be compared and analyzed by law.

It is explanatory drawing which shows the process from product design performed using the computer-aided resin behavior analysis apparatus based on embodiment of this invention to mass production. It is a flowchart which shows the process of the simulation program stored in the computer of the apparatus shown in FIG. 3 is a sub-routine flow chart of the process of S38 of the flow chart. It is explanatory drawing which shows one fiber made into object by evaluation of the bending | flexion of FIG. 3 about four examples from fiber 01 to 04. FIG. 3 is a sub-routine flow chart of the process of S102 of the flow chart. 5 is an explanatory diagram of the processing of the flow chart. Similarly, it is explanatory drawing of the process of FIG. 5 flowchart. Similarly, it is explanatory drawing of the process of FIG. 5 flowchart. Similarly, it is explanatory drawing of the process of FIG. 5 flowchart. Similarly, it is explanatory drawing of the process of FIG. 5 flowchart. Similarly, it is explanatory drawing of the process of FIG. 5 flowchart. Similarly, it is explanatory drawing of the process of FIG. 5 flowchart. It is a flowchart similar to FIG. 5 which shows the modification of this embodiment. 13 is an explanatory diagram of the processing of the flow chart. Similarly, it is explanatory drawing of the process of FIG. 13 flowchart. It is a flowchart similar to FIG. 5 which shows the modification of this embodiment. FIG. 16 is an explanatory diagram of processing of the flowchart. Similarly, it is explanatory drawing of the process of FIG. 16 flowchart. It is a flowchart similar to FIG. 16 which shows the modification of this embodiment. FIG. 17 is a flow chart similar to FIG. 16, similarly showing a modification of this embodiment. FIG. 20 is an explanatory diagram of the processing of the flow chart. It is explanatory drawing which shows the modification of this embodiment. It is explanatory drawing which shows the calculation result about four types of fibers shown in FIG. 4 obtained by processes, such as FIG. 3 is a sub-routine flow chart of the process of S104 of the flow chart of FIG. 3 is a sub-routine flow chart of the process of S44 of the flow chart of FIG. FIG. 25 is an explanatory diagram showing an example of a strength or elastic modulus (rigidity) calculation map of the flow chart. It is explanatory drawing which shows the calculation result of the fiber ratio obtained by the process of FIG. It is the same flow chart as FIG. 3 which shows the modification of this embodiment. It is a photograph which shows an example of the analysis result which concerns on this embodiment. It is a photograph which similarly shows an example of the analysis result which concerns on this embodiment.

  DESCRIPTION OF EMBODIMENTS Hereinafter, an embodiment for implementing a computer-aided resin behavior analysis apparatus according to the present invention will be described with reference to the accompanying drawings.

  FIG. 1 is an explanatory diagram showing steps from product design to mass production performed using a computer-aided resin behavior analysis apparatus according to an embodiment of the present invention.

  In FIG. 1, reference numeral 10 denotes a resin behavior analysis apparatus. The apparatus 10 includes a computer 12 and is configured as a computer-aided development support apparatus (Computer Aided Engineering), that is, a computer-aided resin behavior analysis apparatus.

  The computer 12 includes a central processing unit (CPU), a memory, an input / output circuit, and the like configured to be able to communicate with each other via a bus, and includes a display 12a and an input device 12b including a keyboard, a mouse, a touch panel, and the like.

  An interactive simulation program 20 for analyzing the behavior of the resin 16 in the mold 14 is stored in the memory of the computer 12, and the CPU executes the simulation program 20 stored in the memory. The display 12a displays the result, and the input device 12b accepts a designer (engineer) operation and instruction.

  The mold 14 to be analyzed by the simulation program 20 will be described. As shown in FIG. 1, the mold 14 includes an upper mold 14a and a lower mold 14b, and a cavity 14c is formed therebetween. Resin 16 is put into the cavity 14c. The resin 16 has a sheet shape in which continuous fibers made of carbon fiber or the like and discontinuous long fibers (hereinafter referred to as “fibers”) 16 a are mixed.

  When a predetermined molding condition is input by an operation of the input device 12b by the designer, the computer 12 puts the resin 16 into the mold cavity 14c and causes it to flow under the predetermined molding condition to form a molded product (product or semi-finished product). , More specifically, the behavior of the resin 16 at the time of press molding is analyzed through simulation by the stored simulation program 20.

  Specifically, the analysis of the behavior of the resin 16 is performed as part of the process from product design to mass production, and the designer (engineer) inputs data via the input device 12b and stores the instructions stored in the simulation program 20 The product model 22 is designed in an interactive manner.

  In the apparatus 10, when a product is manufactured using the mold 14, the designer first designs the product model 22 in the product design process, and uses the created product model 22 to mold the mold model 24 in the mold design process. To design.

  Next, the designer creates die machining data using the created die model 24, uses the data to produce the die 14 using the NC processing device 26, and uses the produced die 14. Then, the product (or semi-finished product) 30 is manufactured by molding.

  FIG. 2 is a flowchart showing the processing (operation) of the computer-aided resin behavior analysis apparatus 10 according to the embodiment of the present invention, more specifically, the processing (step) of the simulation program 20 stored in the computer 12 of the apparatus 10. It is a flowchart which shows.

  To explain below, resin filling analysis is started in S10. Specifically, predetermined molding conditions are input by the designer in S12. Predetermined molding conditions include physical properties (viscosity, thermal conductivity, etc.) of the resin (sheet-like) 16, initial resin filling (charge) position and dimensions of the resin 16, die material characteristics, press machine characteristics (maximum clamping force Nmax, The mold clamping speed V1 and the like, and the shape and split length of the fiber 16a mixed in the resin 16.

  Next, the process proceeds to S14 to set (reset) the initial value. That is, the time t is set to 0, and the mold clamping speed V is set to V1 of the molding condition. The processing of S12 and S14 corresponds to condition input.

  Next, the process proceeds to S16, where the time t is incremented by the unit time Δt, and the process proceeds to S18, where the flow of the resin 16 due to pressing during the unit time Δt when the mold clamping speed V1 is constant is analyzed. That is, the flow velocity distribution of the resin 16 in the three-dimensional space corresponding to the mold cavity 14c is calculated.

  Next, the process proceeds to S20, where the compression force N from time t to t + Δt is calculated, and the process proceeds to S22, where it is determined whether or not the calculated compression force N is less than the maximum clamping force Nmax. When the result in S22 is affirmative, the process returns to S16 and the above processing is repeated. The processing from S16 to S22 corresponds to the filling analysis.

  On the other hand, when the result in S22 is negative, it can be determined that the compression force N has reached the maximum clamping force Nmax. Therefore, the process proceeds to S24 and the resin 16 is pressed by the unit during the unit time Δt when the compression force N is constant. Analyze flow. That is, the flow velocity distribution of the resin 16 when it is filled during the unit time Δt when the compression force N is the maximum value is calculated.

  Next, the process proceeds to S26, where the mold clamping speed V from time t to t + Δt is calculated, and the process proceeds to S28, where it is determined whether or not the calculated mold clamping speed V is greater than zero. When the result in S28 is affirmative, the program proceeds to S30, in which the time t is incremented by the unit time Δt, the process returns to S24, and the above processing is repeated.

  On the other hand, when the result in S28 is negative, it can be determined that the mold clamping speed V has become 0 and the filling of the resin 16 has been completed, so the process proceeds to S32 and the resin filling analysis is completed. The processing from S24 to S32 also corresponds to the filling analysis.

  Next, in S34, the fiber behavior analysis is started.

  That is, the process proceeds to S36, the time t is reset to 0, and then the process proceeds to S38, in which the behavior of each fiber 16a, that is, each fiber 16a, is analyzed. Specifically, at time t = 0 (t: resin 16 filling analysis time), a three-dimensional coordinate is assigned to each fiber 16a, and the flow rate distribution of the resin 16 calculated in S18 and S24 is given. Based on the above, the behavior of each fiber 16a accompanying the flow of the resin 16 is analyzed, that is, the behavior is analyzed by calculating the coordinates of each node F of each fiber 16a and evaluating the bending of each fiber 16a.

  Next, the process proceeds to S40, the time is incremented by the unit time Δt, the process proceeds to S42, and it is determined whether or not the time t has reached the filling end time of the resin 16. When the result in S42 is negative, the process returns to S38. When the result is positive, the process proceeds to S44 to evaluate the structural strength or elastic modulus (rigidity) of the molded product, and the process proceeds to S46 to complete the fiber behavior analysis. The processing from S34 to S46 corresponds to fiber behavior analysis.

  FIG. 3 is a sub-routine flow chart of the process of S38 in the flow chart of FIG. In S100, when an analysis condition including at least the plurality of nodes F of the plurality of fibers 16a mixed in the resin 16 is input from the input device 12b by the designer, at least some of the plurality of fibers 16a. A group is selected, that is, a fiber group corresponding to a range in which strength or elastic modulus (rigidity) is evaluated in a molded product is selected. Next, in S102, paying attention to each fiber 16a constituting the selected fiber group, the above-described forming for the evaluation length obtained from at least one node Fn among the plurality of nodes F of each fiber 16a. The bending rate Af of one fiber 16a predicted from the conditions is calculated. The analysis conditions include the length of the fiber 16a, the distance between the nodes F, the shape of the product 30, and the like.

  FIG. 4 is an explanatory diagram showing one example of the fibers 16a to be subjected to the bending evaluation for the fibers 01 to 04. In this embodiment, in any of the four examples, the length of the fiber 16a (fiber length) is 20 mm, the number of divisions is 10, and the division length is constant. That is, each of the four examples of the fibers 16a includes eleven nodes F obtained by equally dividing the length into ten. In the embodiment, the bending is evaluated for each of the fibers 16a in all four examples.

  In order to evaluate the bending of the fiber 16a, it is necessary to grasp the shape (position) of the fiber 16a. In the configuration of FIG. 1, when the resin 16 is introduced into the cavity 14c of the mold 14 in the simulation, there is Since each of the many fibers 16a mixed in is designated by the coordinate position in the three-dimensional space in the mold cavity 14c, the position of the fiber 16a is specified (detected) using the coordinate position.

  FIG. 5 is a sub-routine flow chart of the process of S102 of FIG. 3 and FIGS. 6 to 12 are explanatory diagrams of the process of the flowchart of FIG.

  First, in S200, at least one node Fn of the plurality of nodes F is connected by a curve or a straight line to generate a three-dimensional figure. Each node F is read from the data stored in the memory of the computer 12 as the coordinates of each node F of each fiber 16a at the time t specified in the flow chart of FIG.

  Next, the bending rate Af of the fiber 16a is calculated based on the three-dimensional figure generated in S202.

  As shown in FIG. 6, the bending rate Af is the ratio of the “evaluation length” of the fiber 16a and the “evaluation height” of the three-dimensional figure generated by connecting the node Fn selected from the plurality of nodes F. Calculate based on The evaluation length is calculated as the length from the start point to the end point of the three-dimensional figure generated by connecting all or part of the selected nodes Fn with curves or straight lines.

  6 and the subsequent figures are two-dimensional figures obtained by projecting a three-dimensional figure in the xyz three-dimensional space onto the xy plane. For convenience of illustration, this two-dimensional figure is used. Is used to mean a “three-dimensional figure” in the claims.

  As shown in FIG. 7, the bending of the fiber 16a can be roughly classified into fine undulations (small bending), large bendings, small bendings, and compound bendings of large bendings.

  In order to quantitatively evaluate the bends having different forms as described above, it is necessary to evaluate them separately for each form. For this reason, the magnitude of bending (bending rate Af) is evaluated for each specific length (evaluation length). That is, the bending rate Af is calculated with a small evaluation length for small bends and a large evaluation length for large bends.

  As described above, in this embodiment and its modifications, the evaluation length is not the linear distance between the start point and the end point of the three-dimensional figure, but the length of the fiber 16a from the start point to the end point. This is to align the horizontal axis (evaluation length) of the strong and weak bends.

  Next, the evaluation height calculation method of FIG. 6 will be described with reference to FIG. When it is assumed that the bending shape of the fiber 16a is a sine curve, the evaluation height h can be calculated as the amplitude of the sine curve.

  That is, a point H (π / 2, h, 0) is taken in a new three-dimensional coordinate space where the start point of the three-dimensional figure is (0, 0, 0) and the end point is (π, 0, 0), and each node The evaluation height h is obtained by the least square method so that the sum of the distances between Fn and the curve y = h · sin (x) (z = 0) is minimized.

  However, the method of calculating the evaluation height h assuming a sine curve as described above has a high calculation load and is not practical. Therefore, the evaluation height h is calculated based on the shape of the three-dimensional figure generated by connecting the nodes Fn whose coordinates are already determined.

  Specifically, the calculation is based on the shape as shown in FIG. That is, the node Fn is connected by a straight line to generate a three-dimensional figure, and when the point P moves all or part of the generated three-dimensional figure from the start point to the end point, the start point and the end point are connected from the point P. The evaluation height h is calculated by dividing the area S of the portion through which the perpendicular line passes through the length Lh of the portion through which the vertical leg passes.

  More specifically, between two adjacent nodes is defined as one section, and for each section, the point P is expressed as a point on a straight line passing through the two adjacent nodes Fn. Next, the distance between the straight line passing through the start point and the end point and the point P is expressed by a mathematical expression, and by integrating the distance, the area of the section is obtained, and the total value of the areas of all the sections is obtained.

  If it can be expressed by a mathematical expression, the node Fn may be connected by a curve. As for the number of the node F, the coordinates (three-dimensional coordinates of x, y, z) of the node (or one end (start end) and the other end (end)) of the fiber 16a are read from the data stored in the memory of the computer 12 and numbered. Do that.

  FIG. 10 shows a modification of this embodiment. In this modified example, the node Fn is connected by a straight line to generate a three-dimensional figure, and when the point P moves all or part of the point from the start point to the end point on the generated three-dimensional figure, the start point and the end point from the point P The evaluation height h is calculated as the length of the perpendicular drawn from the center of gravity G of the part through which the perpendicular drawn from the straight line connecting the starting point and the ending point passes. The node Fn may be connected by a curve.

  The product of the displacement of each axial direction between the midpoint of the perpendicular line and the center of gravity G and the length of the perpendicular line becomes 0 when integrating in the direction of a straight line connecting the start point and the end point of the three-dimensional figure. Therefore, in a new three-dimensional coordinate space where the start point is (0, 0, 0) and the end point is on the x-axis, the product of the displacement in the direction of each axis and the length of the perpendicular is expressed as a function of x, respectively. The coordinates of the center of gravity G are obtained so that it becomes 0 when integrated in the direction. The node Fn may be connected by a curve.

  FIG. 11 shows a modification of this embodiment. In this modified example, the node Fn is connected by a straight line to generate a three-dimensional figure, a plurality of points P are generated on the generated three-dimensional figure, and a straight line connecting the start point and the end point from each point P. The evaluation height h was calculated as the maximum value of the length of the dropped perpendicular. The node Fn may be connected by a curve.

  FIG. 12 shows a modification of this embodiment. In this modified example, the node Fn is connected by a straight line to generate a three-dimensional figure, a plurality of points P are generated on the generated three-dimensional figure, and a straight line connecting the start point and the end point from each point P. The evaluation height h was calculated as an average value of the lengths of the dropped vertical lines. The node Fn may be connected by a curve.

  FIG. 13 is a flow chart similar to FIG. 5 showing a modification of this embodiment, and FIGS. 14 and 15 are explanatory diagrams of the processing of the flow chart of FIG.

  As in FIG. 5, in S300, at least one node Fn of the plurality of nodes F is connected by a curve or a straight line to generate a three-dimensional figure, and the points on the three-dimensional figure generated in S302 are connected by a curve or a straight line. Thus, the second three-dimensional figure is generated, and the bending rate Af of the fiber 16a is calculated based on the second three-dimensional figure generated in S304.

  The curvature Af is an evaluation of the second 3D graphic generated by connecting the points on the 3D graphic generated by connecting the evaluation length of the fiber 16a and the node Fn selected from the plurality of nodes F. Calculated based on the height ratio. The evaluation length is calculated as the length from the start point to the end point of the three-dimensional figure.

  As shown in FIG. 14, a plurality of points P are selected from the nodes Fn, a second three-dimensional figure generated by connecting the plurality of points P with straight lines is generated, and the generated second From the center of gravity G of the three-dimensional figure, the evaluation height h is calculated as the length of the perpendicular line drawn from the straight line connecting the start point and the end point of the three-dimensional figure. The coordinates of the center of gravity G are calculated as an average value of the coordinates of a plurality of points P.

  FIG. 15 shows a modification of this embodiment. In this modification, the node Fn is connected by a straight line to generate a three-dimensional figure, a plurality of points P are generated on the generated three-dimensional figure, and the plurality of points P are connected by a straight line to form a second one. And the evaluation height h is calculated as the length of the perpendicular line drawn from the center of gravity G of the generated second 3D figure to the straight line connecting the start point and the end point of the 3D figure. It was configured as follows. The coordinates of the center of gravity G are calculated as an average value of the coordinates of a plurality of points P. The node Fn may be connected by a curve.

  FIG. 16 is a flow chart similar to FIG. 5 showing a modification of this embodiment, and FIGS. 17 and 18 are explanatory diagrams of processing of the flow chart of FIG. In this modification, the second three-dimensional figure is further generated as a triangle having the point P and the start and end points of the three-dimensional figure as vertices, and the height of the generated triangle is calculated as the evaluation height h. .

  First, in S400, lines FnFn-1FnFn + 1 connecting the nodes Fn and the adjacent nodes Fn-1, Fn + 1 are set as hypotenuses (corresponding to evaluation lengths), and adjacent nodes Fn-1, Fn + 1 are used. A triangle with the base of line Fn-1Fn + 1 connecting is established. In FIG. 18, the hypotenuse and the base are indicated by a, b, and c for convenience of illustration.

  In step S402, the length h1 of the perpendicular line directed from the node Fn or an arbitrary point in the vicinity thereof to the base is calculated. In the illustrated example, the vertical line is directed from the node Fn to the base, but may be directed from any point near the node Fn to the base.

  Next, the aspect ratio As1 is calculated by dividing the length h1 of the perpendicular calculated in S404 by the total value (evaluation length) of the lengths of the hypotenuses FnFn-1FnFn + 1. As described above, the aspect ratio is calculated using three nodes.

  In step S406, the same processing is performed on adjacent nodes.

  That is, the line Fn + 1FnFn + 1Fn + 2 connecting the node Fn + 1 and the adjacent nodes Fn and Fn + 2 is the hypotenuse, and the line FnFn + 2 connecting the adjacent nodes Fn and Fn + 2 is the base. Is set, and the length h2 of the perpendicular line directed to the hypotenuse from the node Fn + 1 or an arbitrary point near the node Fn + 1 is calculated, and the calculated length h2 of the perpendicular is the hypotenuse Fn + 1FnFn + 1Fn + 2 Then, the aspect ratio As2 is calculated by dividing by the total value of the lengths, and thereafter the same processing is repeated until the end of the fiber 16a.

  Specifically, when any one of the subsequent nodes (or the other end) is collectively referred to as m, a line Fn + 2Fn connecting the node Fn + 2 and the adjacent nodes Fn + 1 and Fn + m which are not adjacent to each other. Set a triangle with + 1Fn + 2Fn + m as the hypotenuse and a line Fn + 1Fn + m connecting adjacent nodes Fn + 1 and Fn + m as the base, and any point in the vicinity of node Fn + 2 To calculate the aspect ratio Asm by dividing the length hm of the perpendicular directed to the hypotenuse from the total length of the hypotenuse Fn + 2Fn + 1Fn + 2Fn + m .

  Next, the process proceeds to S408, where the fiber bending rate Af is calculated based on the calculated aspect ratio As2, the aspect ratio As1 calculated for the node Fn, and the aspect ratio Asm calculated up to the end of the node Fn. Calculate for the length.

  Specifically, the aspect ratios As1, As2,. . The total value up to Asm is calculated, the average value is calculated, the bending rate Af of the fiber 16a is calculated based on the average value, and more specifically, the average value is set as the bending rate Af of the fiber 16a.

  17 and 18 show the processing shown in the flowchart of FIG.

  FIG. 19 is a flow chart similar to FIG. 16, showing a modification of this embodiment.

  In the case of this modification, the same processing as in FIG. 16 is performed from S500 to S506, and the processing proceeds to S508, where the aspect ratios As1, As2,. . Asm was calculated, the maximum value among them was selected, the bending rate Af of the fiber 16a was calculated based on the maximum value, and more specifically, the maximum value was used as the bending rate of the fiber 16a.

  FIG. 20 is a flowchart similar to FIG. 16 showing a modification of this embodiment, and FIG. 21 is an explanatory diagram of the processing of the flowchart of FIG.

  In the following description, in S600, the node Fn-1, Fn + 2 adjacent to any point P on the line FnFn-1 FnFn + 1 connecting the node Fn and the adjacent nodes Fn-1, Fn + 1 respectively. A triangle is set with the line PFn-1 PFn + 2 connecting the lines Fn-1 and Fn + 2 connecting the nodes Fn-1 and Fn + 2 as the base. In the illustrated example, the arbitrary point P is a middle point, but is not limited thereto.

  Next, in S602, the length h1 of the perpendicular line directed from the arbitrary point P to the bottom is calculated by the same method as in FIG.

  Next, the aspect ratio As1 is calculated by dividing the length h1 of the perpendicular calculated in S604 by the total value of the lengths of the hypotenuses PFn-1PFn + 2. That is, in the illustrated example, the aspect ratio is calculated using four nodes.

  Next, in step S606, the aspect ratio Asn is sequentially calculated for the other nodes by the method described in steps S600 to S604. Since the aspect ratio calculation itself is the same as in FIG. 18, the illustration of Asn is omitted in FIG.

  Next, the bending rate Af of the fiber 16a is calculated based on the aspect ratios As1 and Asn calculated in S608. Specifically, the average value of the calculated aspect ratios As1 and Asn is calculated to be the bending rate Af, or the maximum value of the calculated aspect ratios As1 and Asn is calculated to be the bending rate.

  As a modification of this embodiment, as shown in FIG. 22, when the midpoint is not a node, a value obtained by internal interpolation (average) from surrounding points as shown in FIGS. It is good also as +1.

  In the process of S102 in the flow chart of FIG. 3, the bending rate Af of each fiber 16a is calculated with respect to the evaluation length. FIG. 23 shows the calculation results for the four types of fibers shown in FIG. By calculating numerically, it can be evaluated that the fiber 01 (FIG. 3) has a bend (swell) only at 4 mm and a fine bend (swell) as a whole. Overall, it can be evaluated that there is no bend.

  In addition, the fiber 03 has a large curvature ratio (aspect ratio) in both a short region and a long region, and can be evaluated as a fiber having not only a fine bend (swell) but also a large bend, and the fiber 04 is a long region. Then, since the bending rate is large, there is no fine bending (undulation), and it can be evaluated as a fiber having a large bending. Moreover, since it becomes possible to determine appropriately the bending of the fiber 16a, it is also possible to change the molding conditions and increase the strength or elastic modulus (rigidity) of the product 30.

  Returning to the description of the flow chart of FIG. 3, the process proceeds to S104, and the bending of each fiber 16a is evaluated based on the bending rate Af with respect to the calculated evaluation length.

  FIG. 24 is a sub-routine flowchart of the process of S104 in the flowchart of FIG.

  Explaining below, the bending rate Af (aspect ratio As) with respect to the evaluation length of the fiber 16a calculated in S700 is compared with a predetermined threshold value TH1, and it is determined whether or not the bending rate Af is less than the threshold value. If so, the process proceeds to S702 and it is determined that the fiber 16a is not bent with respect to the evaluation length.

  On the other hand, when the result in S700 is negative, the process proceeds to S704, where it is determined that the fiber 16a is bent with respect to the evaluation length, and the process proceeds to S706 to appropriately set the bending rate Af. Compared with the threshold values TH2, TH3,..., The fibers 16 are classified into predetermined ranges.

  The structural strength or elastic modulus (rigidity) of the molded product is evaluated in the processing of S44 in the flow chart of FIG. 2, and specifically, the fiber group selected based on the bending evaluation result of each obtained fiber 16a. The strength or elastic modulus (rigidity) of the plurality of fibers 16a is evaluated based on the strength or elastic modulus (rigidity) evaluation result.

  FIG. 25 is a sub-routine flowchart of the process in S44 of the flowchart of FIG.

  In the following, in S800, the ratio (fiber ratio) R of the fibers 16a belonging to a predetermined range (no bending or a predetermined range with bending) is calculated. That is, the ratio of the number of fibers 16a belonging to a predetermined range to the total number of fibers 16a constituting the selected fiber group is calculated.

  Next, in S802, the strength or elastic modulus (rigidity) evaluation value of the fiber group selected based on the calculated fiber ratio R is calculated. Specifically, among the fiber ratios R calculated for a single fiber group in a predetermined range in S800, the fiber ratio R in a range particularly contributing to a decrease in the structural strength or elastic modulus (rigidity) of the molded product. Is calculated as an evaluation value of strength or elastic modulus (rigidity).

  More specifically, the sum of the fiber ratios R in all ranges (TH1 to TH2, TH2 to TH3,...) Greater than or equal to the predetermined threshold value TH1 that is determined to be bent in S702 of the flow chart of FIG. The value is calculated as an evaluation value of strength or elastic modulus (rigidity).

  Next, the process proceeds to S804, and the strength or elastic modulus of the fiber group selected based on the characteristic (strength or elastic modulus (rigidity) calculation map) set in advance from the calculated strength or elastic modulus (rigidity) evaluation value of the fiber group. (Rigidity) is calculated. That is, the strength or elastic modulus (rigidity) corresponding to the strength or elastic modulus (rigidity) evaluation value is calculated with reference to the strength or elastic modulus (rigidity) calculation map as shown in FIG. Alternatively, it is determined whether or not the elastic modulus (rigidity) is satisfied. A strength or elastic modulus (stiffness) evaluation map is created in advance by a test or the like.

  When the result in S806 is affirmative, the process proceeds to S808 or it is determined that the elastic modulus (rigidity) is sufficient, while when the result is negative, the process proceeds to S810 and it is determined that the strength or elastic modulus (rigidity) is insufficient. When the strength or elastic modulus (rigidity) is insufficient, the molding conditions are changed so that the strength or elastic modulus (rigidity) of the product 30 is improved.

  FIG. 27 is a histogram displaying the fiber ratio R for each predetermined range of the bending rate Af of the fiber 16a, showing an example of comparison of calculation results of strength or elastic modulus (rigidity) evaluation values before and after the molding condition change. .

  While the fiber ratio R of the fiber 16a in the bending range Af of 0 to TH1 (no bending) increased from about 85% to about 97%, the fiber ratio R in the range of TH1 or more (with bending) decreased. That is, the total value of the fiber ratio R in the range of TH1 or more is reduced from about 15% to about 3%, and the selected fiber group (fiber group corresponding to the range for evaluating the strength or elastic modulus (rigidity) in the molded product). ) It is possible to numerically confirm that bending is suppressed as a whole and the strength or elastic modulus (rigidity) of the molded product is improved.

  FIG. 28 is a flow chart similar to FIG. 3, showing a modification of this embodiment.

  In the case of this modification, the same processing as in FIG. 3 is performed from S900 to S902, and the process proceeds to S904, where the bending rate Af with respect to the calculated evaluation length of the fiber 16a is associated with the display color corresponding thereto and the bending of the fiber 16a is performed. To evaluate.

  The structural strength or elastic modulus (rigidity) of the molded product is evaluated in the processing of S44 in the flow chart of FIG. 2, and specifically, the fiber group selected based on the bending evaluation result of each obtained fiber 16a. The strength or elastic modulus (rigidity) of the plurality of fibers 16a is evaluated based on the strength or elastic modulus (rigidity) evaluation result.

  29 and 30 are photographs showing examples of analysis results according to this embodiment before and after changing the molding conditions, respectively. FIG. 29 and FIG. 30 are the entire images of the molded product when the whole of the plurality of fibers 16 a, that is, the resin 16 mixed with the plurality of fibers 16 a is molded in the mold 14. Further, in the figure, reference numerals A, B, and C denote examples of fiber groups, that is, fiber groups corresponding to a range for evaluating strength or elastic modulus (rigidity) in a molded product.

  Since the presence / absence or size of the fiber 16a is contoured using the display color, it is possible to easily grasp the severe part of the fiber bending in the molded product, and the fiber selected before and after the molding condition change It is possible to visually confirm that the bending of the entire group is suppressed and the strength or elastic modulus (rigidity) of the molded product is improved.

  As described above, in the embodiment of the present invention and its modification, the resin 16 in which a plurality of continuous fibers and discontinuous long fibers 16a are mixed is molded in the mold 14 under predetermined molding conditions. In the resin behavior analysis apparatus 10 that analyzes the bending behavior of the fiber 16a via a simulation program 20 stored in the computer 12, the simulation program 20 includes an analysis including at least a plurality of nodes F of the plurality of fibers 16a. When a condition is input, at least a part of the plurality of fibers 16a is selected (S100), and each fiber constituting the selected fiber group based on the input analysis condition A bending rate Af of 16a is calculated (S102), and based on the calculated bending rate Af of each fiber 16a From the step (S44) of evaluating the bending of each fiber 16a (S104) and evaluating the strength or elastic modulus (rigidity) of the selected fiber group based on the obtained bending evaluation result of each fiber 16a. Since it is configured as described above, the strength or elastic modulus (rigidity) in a range in which the strength or elastic modulus (rigidity) is evaluated in the fiber group selected based on the bending rate Af of each fiber 16a, that is, the molded product, is quantitative. Can be evaluated.

  Further, the simulation program 20 evaluates the overall strength or elastic modulus (rigidity) of the plurality of fibers 16a based on the obtained strength or elastic modulus (rigidity) evaluation result of the fiber group (S44). In addition to the effects described above, the strength or elasticity of the molded product when the whole of the plurality of fibers 16a, that is, the resin 16 mixed with the plurality of fibers 16a is molded in the mold 14 is added. The rate (rigidity) can be quantitatively evaluated.

  Further, the step of evaluating the bending of each of the fibers 16a compares the calculated bending rate Af of each of the fibers 16a with a predetermined threshold (TH1, TH2,...) In a predetermined range ( TH1 to TH2, TH2 to TH3,...) And evaluation (S700 to S706), and the step of evaluating the strength or elastic modulus (rigidity) of the selected fiber group includes the predetermined step The ratio (fiber ratio) R of the fibers 16a belonging to the range is calculated (S800), and the strength or elastic modulus (rigidity) of the selected fiber group based on the calculated ratio (fiber ratio) R of the fibers 16a. Since the evaluation value (the total value of the fiber ratio R in the range of TH1 or more) is calculated (S802), in addition to the above-described effects, the molded product has strength or elasticity. Based on the fiber ratio R of a specific bending rate Af such as a bending rate Af (TH1 or more) that contributes to a decrease in strength or elastic modulus (rigidity) It can be evaluated quantitatively.

  In the step of evaluating the strength or elastic modulus (rigidity) of the selected fiber group, the ratio (fiber ratio) R of the fibers 16a belonging to the predetermined range (TH1 to TH2, TH2 to TH3,...) In addition to the above-described effects, the strength of the range in which the strength is evaluated in the molded product is numerically displayed and evaluated. This makes it easy to compare and evaluate the results of changing the molding conditions.

  Further, the step of evaluating the strength or elastic modulus (rigidity) of the selected fiber group includes the calculated strength or elastic modulus (rigidity) evaluation value of the fiber group (the total value of the fiber ratio R in the range of TH1 or more). ) To calculate and evaluate the strength or elastic modulus (rigidity) of the selected fiber group based on a preset characteristic (strength or elastic modulus (rigidity) calculation map) (S804 to S810). In addition to the effects described above, the strength or elastic modulus (rigidity) within the range for evaluating the strength or elastic modulus (rigidity) of the molded product can be accurately calculated, and the required strength or elastic modulus (rigidity) In comparison, it can be confirmed whether the strength or elastic modulus (rigidity) is sufficient.

  A simulation program 20 stored in the computer 12 shows the bending behavior of the fiber 16a when the resin 16 in which a plurality of continuous fibers and discontinuous long fibers 16a are mixed is molded in the mold 14 under predetermined molding conditions. In the resin behavior analysis apparatus 10 that performs analysis through the simulation program 20, when an analysis condition including at least a plurality of nodes F of the plurality of fibers 16a is input, of the plurality of fibers 16a. At least some of the fiber groups are selected (S900), and the bending rate Af of each of the fibers 16a constituting the selected fiber group is calculated based on the input analysis conditions (S902), and the calculated The bending rate Af of each fiber 16a is associated with the display color to evaluate the bending of each fiber 16a (S9). 4, FIG. 29, FIG. 30), and a step (S44) of evaluating the strength or elastic modulus (rigidity) of the selected fiber group based on the obtained bending evaluation result of each fiber 16a. Therefore, it is possible to visually display and evaluate the strength or elastic modulus (rigidity) in the range in which the strength or elastic modulus (rigidity) is evaluated in the molded product based on the bending rate Af of each fiber 16a. It becomes easy to compare and evaluate the results of changing the.

  Further, the simulation program 20 evaluates the overall strength or elastic modulus (rigidity) of the plurality of fibers 16a based on the obtained strength or elastic modulus (rigidity) evaluation result of the fiber group (S44). In addition to the above-described effects, the strength or elastic modulus (rigidity) of the molded product can be quantitatively evaluated.

  The step of calculating the bending rate Af of each of the fibers 16a includes the step of calculating each of the fibers 16a predicted from the molding condition with respect to the evaluation length obtained from at least one node Fn among the plurality of nodes F. The step (S102, S902) of calculating the bending rate Af of each of the fibers 16a is evaluated, and the step of evaluating the bending of each of the fibers 16a is based on the bending rate Af with respect to the calculated evaluation length. In addition to the effects described above, the fine undulations (small bends) can be obtained by evaluating the bends of the fibers 16a based on the bend rate Af with respect to the evaluation length in addition to the above-described effects (S104, S904). With a small evaluation length, it becomes possible to evaluate a large bend with a large evaluation length. Can be quantitatively assessed for each form of bending by Les, complex bends composed bend as large as fine undulations can also be quantitatively evaluated. Moreover, since it becomes possible to determine appropriately the bending of each fiber 16a, it becomes easy to find the conditions under which the bending of each fiber 16a is reduced, and the strength or elasticity of the product 30 is changed by changing the molding conditions. It is also possible to increase the rate (rigidity).

  The step of calculating the bending rate Af of each of the fibers 16a includes the step of calculating each of the fibers based on a three-dimensional figure generated by connecting at least one node Fn of the plurality of nodes F with a curve or a straight line. Since the configuration includes the steps (S200, S202) of calculating the bending rate Af of 16a, the bending rate Af of the fiber 16a as a numerical value can be calculated easily and accurately in addition to the above-described effects.

  The step of calculating the bending rate Af of each of the fibers 16a may be obtained by connecting a point on a three-dimensional figure generated by connecting at least one node Fn of the plurality of nodes F with a curve or a line. In addition to the above-described effects, the numerical value as the numerical value is calculated by the step (S300 to S304) of calculating the bending rate Af of each of the fibers 16a based on the second three-dimensional figure generated by connecting with The bending rate Af of the fiber 16a can be calculated more easily.

  Further, since the second three-dimensional figure is constituted by a triangle, in addition to the above-described effects, the bending rate Af of the fiber 16a as a numerical value can be calculated more easily.

  Further, the step of calculating the bending rate Af of each of the fibers 16a uses the line FnFn-1FnFn + 1 connecting the node Fn and the adjacent nodes Fn-1, Fn + 1 as hypotenuses and is adjacent thereto. The triangle having the base Fn-1Fn + 1 connecting the nodes Fn-1 and Fn + 1 is set (S400, S500), and a perpendicular line directed to the base from the node Fn or any nearby point is set. A length h1 is calculated (S402, S502), and an aspect ratio As1 is calculated by dividing the calculated perpendicular length h1 by the total length of the hypotenuses FnFn-1FnFn + 1 (S404, S504). In addition to the above-described effects, the fiber as a numerical value is constituted by the steps (S408, S508) of calculating the bending rate Af of each of the fibers based on the calculated aspect ratio As1. Bending ratio Af of 6a can be calculated easily.

  The step of calculating the bending rate Af of each of the fibers 16a includes a line Fn + 1FnFn + 1Fn + 2 connecting the node Fn + 1 and the adjacent nodes Fn, Fn + 2 as hypotenuses, respectively. The triangle having a base FnFn + 2 connecting adjacent nodes Fn and Fn + 2 is set (S406, S506), and a perpendicular line directed to the base from the node Fn + 1 or an arbitrary point in the vicinity thereof is set. The length h2 is calculated, the aspect ratio As2 is calculated by dividing the calculated length h2 of the perpendicular by the total length of the hypotenuse Fn + 1FnFn + 1Fn + 2 (S406, S506), and the calculation The above-described aspect ratio As2 and the aspect ratio As1 calculated for the node Fn are used to calculate the bending rate Af of each of the fibers (S408, S508). In addition to the effects, the bending ratio Af of the fibers 16a of the numeric can be calculated easily and accurately.

  Further, the step of calculating the bending rate Af of each of the fibers 16a includes a line Fn + 2Fn + 1Fn + 2Fn + m connecting the node Fn + 2 and the adjacent nodes Fn + 2 and Fn + m. Is set to the hypotenuse, and the triangle having the base Fn + 1Fn + m connecting adjacent nodes Fn + 1 and Fn + m is set, and the node Fn + 2 or an arbitrary point in the vicinity thereof is set to the base. Calculate the length hm of the directed perpendicular, and divide the calculated length hm of the perpendicular by the total length of the hypotenuse Fn + 2Fn + 1Fn + 2Fn + m to calculate the aspect ratio Asm; Steps of calculating the bending ratios Af of the respective fibers based on the calculated aspect ratio Asm, the aspect ratios As1 and As2 calculated for the node Fn and the node Fn + 1 (S400 to S408, S500 to S508) ) , In addition to the effects mentioned above, the bending ratio Af of the fibers 16a of the numeric can be easily and calculated more accurately.

  The step of calculating the bending rate Af of each of the fibers 16a includes any point on the line FnFn-1FnFn + 1 connecting the node Fn and the adjacent nodes Fn-1, Fn + 1. Set the triangle with the line PFn-1 PFn + 2 connecting the nodes Fn-1 and Fn + 2 adjacent to P as the hypotenuse and the line Fn-1Fn + 2 connecting the nodes Fn-1 and Fn + 2 as the base (S600), the length h1 of the perpendicular line directed from the arbitrary point P to the base side is calculated (S602), and the calculated length h1 of the perpendicular line is set to the length of the oblique side PFn-1PFn + 2. The aspect ratio As1 is calculated by dividing by the total value (S604), then the aspect ratio Asn is calculated for other nodes (S606), and the bending of the respective fibers is calculated based on the calculated aspect ratios As1 and Asn. Calculating the rate Af (S60) Since it is configured as consisting), in addition to the effects mentioned above, and simplify the bending ratio Af of the fibers 16a of the numeric can be calculated more accurately.

  The step of calculating the bending rate Af of each of the fibers 16a is based on the average value of the calculated values (aspect ratio As1, As2; As1, As2, Asm; As1, Asm). Since the configuration includes the step (S408) of calculating the bending rate Af, in addition to the above-described effects, the bending rate Af of the fiber 16a as a numerical value can be calculated easily and more accurately.

  The step of calculating the bending rate Af of each of the fibers 16a is based on the maximum value of the calculated values (aspect ratio As1, As2; As1, As2, Asm; As1, Asm). Since the configuration includes the step (S508) of calculating the bending rate Af, in addition to the above-described effects, the bending rate Af of the fiber 16a as a numerical value can be calculated easily and more accurately.

  The step of calculating the bending rate Af of each of the fibers 16a is based on the coordinate positions x, y, and z of the fibers 16a in the three-dimensional space in the cavity 14c of the mold 14. Since the configuration includes the step (S102) of calculating the bending rate Af, the bending rate Af of the fiber 16a as a numerical value can be calculated more easily.

  Further, since the evaluation length is configured to be the length from the start point to the end point of the three-dimensional figure, in addition to the effects described above, the fiber bending rate Af as a numerical value can be calculated with higher accuracy.

  The simulation program 20 receives at least a part of the plurality of fibers 16a when data including at least a plurality of nodes F of the plurality of fibers 16a obtained through an analyzer is input. A fiber group is selected (S100), a bending rate Af of each fiber 16a constituting the selected fiber group is calculated based on the input data (S102), and the calculated fiber 16a of each fiber 16a is calculated. The bending of each of the fibers 16a is evaluated based on the bending rate Af (S104), and the strength or elastic modulus (rigidity) of the selected fiber group is calculated based on the bending evaluation result of each of the obtained fibers 16a. Since it comprises so that the evaluation step (S44) may be comprised, it is obtained by analyzing an actual molded product with an analyzer, for example, an X-ray CT scan. Chromatography data (actual shape of the fibers in the molded article, nodes) may be to analyze in the same manner and simulation data comparing.

  In this embodiment and its modification, the evaluation length is a constant value (4 mm, etc.), but may be an indefinite value (4 mm, 6 mm,..., 20 mm, etc.).

  Needless to say, the number of divisions of the fibers 16a is not limited to 10, and the division length may be indefinite. In addition, the aspect ratio Asn is calculated for all or part of the nodes starting from one end (starting end) to the other end (ending) of the fiber 16a. However, the aspect ratio Asn may be started in the middle of the fiber 16a, and only for a part of the nodes. Anyway. Further, although three or four nodes are used to calculate the aspect ratio, the present invention is not limited to this. Further, the number of fibers 16a is not limited to one, and a plurality of fibers may be used.

  In addition, it goes without saying that the device configuration is not limited to that disclosed above.

  10 Computer Assisted Resin Behavior Analyzer, 12 Computer, 12a Display, 12b Input Device, 14 Mold, 14a Upper Mold, 14b Lower Mold, 14c Cavity, 16 Resin, 16a Fiber, 20 Simulation Program, 22 Product Model, 24 Gold Model, 26 NC processing machines, 30 products

Claims (20)

  Resin behavior analysis that analyzes the bending behavior of the fiber mixed with a plurality of continuous fibers and discontinuous long fibers in a mold under predetermined molding conditions through a simulation program stored in a computer In the apparatus, when an analysis condition including at least a plurality of nodes F of the plurality of fibers is input, the simulation program selects at least a part of the plurality of fibers, and the input The bending rate Af of each of the fibers constituting the selected fiber group is calculated based on the analysis condition thus calculated, and the bending of each of the fibers is evaluated based on the calculated bending rate Af of each of the fibers. Evaluating the strength or elastic modulus of the selected fiber group based on the bending evaluation result of each of the obtained fibers. Resin behavior analysis device of a computer assisted characterized by comprising.   2. The computer according to claim 1, wherein the simulation program includes a step of evaluating an overall strength or elastic modulus of the plurality of fibers based on the obtained strength or elastic modulus evaluation result of the fiber group. Supporting resin behavior analyzer.   The step of evaluating the bending of each of the fibers includes the step of comparing the calculated bending rate Af of each of the fibers with a predetermined threshold value and classifying the calculated bending rate for each predetermined range, and selecting the selected bending rate. The step of evaluating the strength or elastic modulus of the selected fiber group calculates the ratio of the fibers belonging to the predetermined range, and the strength or elastic modulus evaluation value of the selected fiber group based on the calculated ratio of the fibers The computer-aided resin behavior analysis apparatus according to claim 1 or 2, characterized by comprising the steps of:   4. The step of evaluating the strength or elastic modulus of the selected fiber group includes the step of displaying and evaluating the proportion of fibers belonging to the predetermined range for each predetermined range. Computer-aided resin behavior analyzer.   The step of evaluating the strength or elastic modulus of the selected fiber group includes the step of evaluating the strength or elastic modulus of the selected fiber group based on a property preset from the calculated strength or elastic modulus evaluation value of the fiber group. 5. The computer-aided resin behavior analysis apparatus according to claim 1, further comprising a step of calculating and evaluating the value.   Resin behavior analysis that analyzes the bending behavior of the fiber mixed with a plurality of continuous fibers and discontinuous long fibers in a mold under predetermined molding conditions through a simulation program stored in a computer In the apparatus, when an analysis condition including at least a plurality of nodes F of the plurality of fibers is input, the simulation program selects at least a part of the plurality of fibers, and the input The bending rate Af of each of the fibers constituting the selected fiber group is calculated based on the analyzed condition, and the bending rate of each of the fibers is related to the display color by associating the calculated bending rate Af of each of the fibers. And evaluate the strength or elastic modulus of the selected fiber group based on the obtained bending evaluation result of each fiber. Resin behavior analysis device of a computer assisted, characterized in that it consists of steps.   7. The computer according to claim 6, wherein the simulation program includes a step of evaluating an overall strength or elastic modulus of the plurality of fibers based on the obtained strength or elastic modulus evaluation result of the fiber group. Supporting resin behavior analyzer.   The step of calculating the bending rate Af of each of the fibers includes the bending rate Af of each of the fibers predicted from the molding condition with respect to an evaluation length obtained from at least one node Fn among the plurality of nodes F. The step of evaluating the bending of each of the fibers comprises the step of evaluating the bending of each of the fibers based on a bending rate Af with respect to the calculated evaluation length. The computer-aided resin behavior analysis apparatus according to claim 1.   The step of calculating the bending rate Af of each of the fibers includes the bending rate of each of the fibers based on a three-dimensional figure generated by connecting at least one node Fn of the plurality of nodes F with a curve or a straight line. 9. The computer-aided resin behavior analysis apparatus according to claim 8, further comprising a step of calculating Af.   In the step of calculating the bending rate Af of each of the fibers, the points on the three-dimensional figure generated by connecting at least one node Fn of the plurality of nodes F with a curve or a line are connected with the curve or the line. 9. The computer-aided resin behavior analysis apparatus according to claim 8, further comprising a step of calculating a bending rate Af of each of the fibers based on the second three-dimensional figure generated in the above-described manner.   The computer-aided resin behavior analysis apparatus according to claim 10, wherein the second three-dimensional figure is a triangle.   The step of calculating the bending rate Af of each of the fibers includes a line FnFn-1FnFn + 1 connecting the node Fn and the adjacent nodes Fn-1 and Fn + 1, respectively, and an adjacent node Fn- 1. Set the triangle whose base is the line Fn-1Fn + 1 connecting 1, Fn + 1, calculate the length h1 of the perpendicular line directed to the base from the node Fn or an arbitrary point in the vicinity thereof, The aspect ratio As1 is calculated by dividing the calculated length h1 of the perpendicular line by the total length of the hypotenuses FnFn-1FnFn + 1, and the bending rate of each fiber based on the calculated aspect ratio As1. The computer-aided resin behavior analysis apparatus according to claim 11, comprising a step of calculating Af.   The step of calculating the bending rate Af of each of the fibers includes a line Fn + 1FnFn + 1Fn + 2 connecting the node Fn + 1 and the nodes Fn and Fn + 2 adjacent to the node Fn + 1 and an adjacent node. The triangle having the base FnFn + 2 connecting Fn and Fn + 2 is set, and the length h2 of the perpendicular line directed to the base from the node Fn + 1 or any point nearby is calculated. The aspect ratio As2 is calculated by dividing the calculated length h2 of the perpendicular by the total length of the hypotenuse Fn + 1FnFn + 1Fn + 2, and the aspect ratio As2 and the node Fn are calculated. 13. The computer-aided resin behavior analysis apparatus according to claim 12, comprising a step of calculating a bending rate Af of each of the fibers based on the aspect ratio As1.   In the step of calculating the bending rate Af of each of the fibers, a line Fn + 2Fn + 1Fn + 2Fn + m connecting the node Fn + 2 and the nodes Fn + 2 and Fn + m adjacent to / not adjacent to the node Fn + 2 At the same time, the triangle having a base Fn + 1Fn + m connecting adjacent nodes Fn + 1 and Fn + m is set and directed from the node Fn + 2 or an arbitrary point in the vicinity thereof to the base. The vertical length hm is calculated, and the calculated vertical length hm is divided by the total length of the hypotenuses Fn + 2Fn + 1Fn + 2Fn + m to calculate the aspect ratio Asm. 14. The method according to claim 13, further comprising: calculating a bending rate Af of each of the fibers based on the aspect ratio Asm, the aspect ratios As1 and As2 calculated for the node Fn and the node Fn + 1. Computer-aided resin behavior analyzer.   The step of calculating the bending rate Af of each of the fibers is adjacent to any point P on the line FnFn-1FnFn + 1 connecting the node Fn and the adjacent nodes Fn-1, Fn + 1. The triangles having the line PFn-1 PFn + 2 connecting the nodes Fn-1 and Fn + 2 to be processed as the hypotenuse and the line Fn-1 Fn + 2 connecting the nodes Fn-1 and Fn + 2 as the base are set. The length h1 of the perpendicular line directed from the arbitrary point P to the base is calculated, and the calculated length h1 of the perpendicular line is divided by the total length of the oblique sides PFn-1PFn + 2 to obtain the aspect ratio As1. Then, the aspect ratio Asn is calculated for other nodes, and the bending ratio Af of each of the fibers is calculated based on the calculated aspect ratios As1 and Asn. 11. Computer-aided resin behavior solution according to 11 Apparatus.   16. The step of calculating the bending rate Af of each of the fibers comprises the step of calculating the bending rate Af of each of the fibers based on an average value of the calculated values. The computer-aided resin behavior analysis apparatus according to any one of the above.   16. The step of calculating the bending rate Af of each of the fibers comprises the step of calculating the bending rate Af of each of the fibers based on the maximum value of the calculated values. The computer-aided resin behavior analysis apparatus according to any one of the above.   The step of calculating the bending rate Af of each of the fibers includes the step of calculating the bending rate Af of each of the fibers based on a coordinate position of the fiber in a three-dimensional space in the cavity of the mold. A computer-aided resin behavior analysis apparatus according to any one of claims 1 to 17.   The computer-aided resin behavior analysis apparatus according to claim 8, wherein the evaluation length is a length from a start point to an end point of the three-dimensional figure.   The simulation program selects at least some of the plurality of fibers when the data including at least the plurality of nodes F of the plurality of fibers obtained through the analyzer is input. The bending rate Af of each of the fibers constituting the selected fiber group is calculated based on the input data, and the bending of each of the fibers is calculated based on the calculated bending rate Af of each of the fibers. 20. The method according to claim 1, further comprising a step of evaluating and evaluating a strength or an elastic modulus of the selected fiber group based on a bending evaluation result of each of the obtained fibers. Computer-aided resin behavior analyzer.