WO2020080175A1 - Dispositif d'analyse, procédé d'analyse, programme et support d'informations - Google Patents

Dispositif d'analyse, procédé d'analyse, programme et support d'informations Download PDF

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Publication number
WO2020080175A1
WO2020080175A1 PCT/JP2019/039584 JP2019039584W WO2020080175A1 WO 2020080175 A1 WO2020080175 A1 WO 2020080175A1 JP 2019039584 W JP2019039584 W JP 2019039584W WO 2020080175 A1 WO2020080175 A1 WO 2020080175A1
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Prior art keywords
analysis
time
state quantity
mesh
calculation model
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PCT/JP2019/039584
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English (en)
Japanese (ja)
Inventor
晴彦 光畑
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東レエンジニアリング株式会社
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Publication of WO2020080175A1 publication Critical patent/WO2020080175A1/fr

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    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B29—WORKING OF PLASTICS; WORKING OF SUBSTANCES IN A PLASTIC STATE IN GENERAL
    • B29C—SHAPING OR JOINING OF PLASTICS; SHAPING OF MATERIAL IN A PLASTIC STATE, NOT OTHERWISE PROVIDED FOR; AFTER-TREATMENT OF THE SHAPED PRODUCTS, e.g. REPAIRING
    • B29C64/00—Additive manufacturing, i.e. manufacturing of three-dimensional [3D] objects by additive deposition, additive agglomeration or additive layering, e.g. by 3D printing, stereolithography or selective laser sintering
    • B29C64/30—Auxiliary operations or equipment
    • B29C64/386—Data acquisition or data processing for additive manufacturing
    • B—PERFORMING OPERATIONS; TRANSPORTING
    • B33—ADDITIVE MANUFACTURING TECHNOLOGY
    • B33Y—ADDITIVE MANUFACTURING, i.e. MANUFACTURING OF THREE-DIMENSIONAL [3-D] OBJECTS BY ADDITIVE DEPOSITION, ADDITIVE AGGLOMERATION OR ADDITIVE LAYERING, e.g. BY 3-D PRINTING, STEREOLITHOGRAPHY OR SELECTIVE LASER SINTERING
    • B33Y50/00—Data acquisition or data processing for additive manufacturing
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G—PHYSICS
    • G06—COMPUTING; CALCULATING OR COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation

Definitions

  • the present invention relates to an analysis device, an analysis method, a program and a storage medium.
  • Patent Document 1 discloses a resin flow analysis method for obtaining flow behavior such as resin pressure, temperature, speed, and shear rate in the resin flow process during plastic injection molding.
  • shape data of an object to be analyzed, molding condition data, pressure temperature boundary condition data, and the like are read.
  • the number of analysis steps is set to divide the resin into a plurality of analysis steps from the time when the resin starts to flow from the inlet to the time when the resin is finally filled.
  • initial calculation such as initial viscosity is performed.
  • the pressure distribution in the resin-filled area is calculated.
  • the velocity distribution in the entire filling area filled with all the resins is calculated.
  • the temperature calculation of the filled resin is performed.
  • various initial analysis parameters are set.
  • the heat conduction, heat capacity, and heat flux matrix for each element are formed.
  • the element matrix of the entire filling area is created.
  • the temperature distribution in the entire filling area is calculated.
  • the energy equation is used in the calculation of the temperature distribution.
  • the energy equation includes a partial differential term of the temperature T with respect to time t, a partial differential term of the position (x, y) of the temperature T, and the like.
  • the elapsed time is assumed to be ⁇ t (same in all areas) in all areas where the flow has proceeded.
  • ⁇ t minute time
  • the elapsed time when one layer is modeled is ⁇ t.
  • the elapsed time ⁇ t of the first modeled portion and the elapsed time ⁇ t of the last modeled portion are different. That is, in the formed one layer, the elapsed time ⁇ t differs depending on the place.
  • the present invention has been made to solve the above problems, and an object of the present invention is to provide an analysis device, an analysis method, a program, and a storage device capable of suppressing a long analysis time. It is to provide a medium.
  • an analysis apparatus for analyzing a state quantity of an analysis target, which is a calculation model of the analysis target by dividing an analysis target into meshes. And a calculation model creation unit that performs at least one of reading the calculation model of the mesh-divided analysis target from the outside, and the nodes or elements of the mesh of the calculation model of the analysis target.
  • a time determination unit that performs at least one of determining time and reading time from the outside, dividing the analysis of the state quantity of the analysis target into a plurality of steps, and performing the analysis divided from the outside.
  • the analysis division unit that performs at least one of reading multiple steps of the, and the analysis target based on the diffusion equation for each of the divided multiple steps.
  • the time of the time term at the nodes or elements that make up the mesh of the calculation model of the analysis target when the diffusion equation is discretized is the analysis target. Is configured to depend on the position of the mesh at.
  • the time of the time term at the node or element that constitutes the mesh of the calculation model of the analysis target when the diffusion equation is discretized is the time of the analysis target. It is configured to depend on the position of the mesh on the object. As a result, since the time of the time term at the nodes or elements forming the mesh of the calculation model of the analysis object depends on the position of the mesh, the elapsed time at each position is reflected in the diffusion equation in advance. Thereby, for example, even if the generation time of the analysis object is different in the same analysis step, it is not necessary to divide the analysis step so as to correspond to each place. As a result, it is possible to prevent the analysis time from increasing.
  • the analysis object is configured to be shaped by a programmed apparatus, and in the discretized diffusion equation, the time of the time term at the node or the element is ,
  • the parts corresponding to the nodes or elements are arranged to correspond to the time when they are formed. According to this structure, it is possible to prevent the analysis time from increasing in the analysis of the state quantity of the analysis target object formed by the programmed device.
  • the time of the time term at the node or the element is configured to increase in accordance with the time elapsed after the portion corresponding to the node or the element is formed.
  • the time of the time term at the node or the element corresponds to the time elapsed after the actual modeling, so that the state quantity of the analysis object can be appropriately analyzed.
  • the state quantity of the analysis target includes the temperature of the analysis target when the analysis target is modeled. According to this structure, it is possible to prevent the analysis time from increasing in the analysis of the temperature of the analysis target when the analysis target is formed.
  • a thermal deformation analysis unit that analyzes the thermal deformation of the analysis target when the analysis target is modeled, with the temperature of the analysis target analyzed by the state quantity analysis unit as a load condition.
  • the time of the time term at the node or element is set for each node or element. According to this structure, since the time of the time term is set in relatively detail, the state quantity of the analysis object can be analyzed accurately.
  • the initial value of the state quantity of the analysis object, the diffusion coefficient, and the boundary condition are determined, and the initial value, the diffusion coefficient, and the boundary condition are read from the outside.
  • the method further includes a condition creating unit that performs at least one of the above.
  • the condition creating unit is configured to determine the diffusion coefficient according to the part of the analysis object.
  • the state quantity of the analysis target is analyzed more accurately by making the diffusion coefficient different between the modeling direction in which the analysis target is modeled and the direction orthogonal to the modeling direction. be able to. Further, by setting the diffusion coefficient according to the time difference between adjacent elements or nodes, the state quantity of the analysis object can be analyzed more accurately.
  • the analysis target includes a laminated article formed by stacking materials constituting the analysis target.
  • the state quantity for one layer can be calculated by one calculation step. Can be analyzed. Further, the state quantity for a plurality of layers can be analyzed by one analysis step. There is no problem even if the analysis of one layer is divided into a plurality of analysis steps.
  • An analysis method is an analysis method for analyzing a state quantity of an analysis target, which comprises creating a calculation model of the analysis target by dividing the analysis target into meshes, and performing mesh division.
  • the time of the time section at the nodes or elements constituting the mesh calculation model of analysis object when discretizing the diffusion equation is configured to be dependent on the position of the mesh in the analysis object.
  • the time of the time term at the node or element constituting the mesh of the calculation model of the analysis object when the diffusion equation is discretized is the time of the analysis object. It is configured to depend on the position of the mesh on the object. As a result, since the time of the time term at the nodes or elements forming the mesh of the calculation model of the analysis object depends on the position of the mesh, the elapsed time at each position is reflected in the diffusion equation in advance. As a result, it is not necessary to divide the analysis step so as to correspond to each place. As a result, it is possible to provide an analysis method capable of suppressing a long analysis time.
  • a program according to a third aspect of the present invention is a program for causing a computer to perform analysis of an analysis target by using an analysis method for analyzing a state quantity of the analysis target, and by dividing the analysis target by mesh.
  • the process of performing at least one of creating a calculation model of the analysis target and reading the calculation model of the mesh-divided analysis target from the outside, and the nodes constituting the mesh of the calculation model of the analysis target Alternatively, the process of at least one of determining the time of the element and reading the time from the outside, dividing the analysis of the state quantity of the analysis target into a plurality of steps, and dividing from the outside The process of doing at least one of reading the multiple steps of the analysis, and the spreading of each divided step.
  • the time of the time term at the node or element that constitutes the mesh of the calculation model of the analysis target when the diffusion equation is discretized Is configured to depend on the position of the mesh in the analysis object.
  • the time of the time term at the node or the element constituting the mesh of the calculation model of the analysis object when the diffusion equation is discretized is the time of the analysis object. Is configured to depend on the position of the mesh at.
  • the time of the time term at the nodes or elements forming the mesh of the calculation model of the analysis object depends on the position of the mesh, the elapsed time at each position is reflected in the diffusion equation in advance. As a result, it is not necessary to divide the analysis step so as to correspond to each place. As a result, it is possible to provide a program capable of suppressing a long analysis time.
  • the storage medium stores a program for causing a computer to analyze the state quantity of the analysis target by using the analysis method for analyzing the state quantity of the analysis target, and is readable by the computer. At least one of creating a calculation model of the analysis target by dividing the analysis target into a mesh, which is a storage medium, and reading the calculation model of the analysis target of the mesh from the outside. Process, at least one of determining the time of nodes or elements that make up the mesh of the computational model of the analysis target, and reading the time from outside, and analyzing the state quantity of the analysis target At least one of: dividing the analysis into multiple steps and reading the externally divided steps of the analysis.
  • a program is stored in which the time of the time term at a node or an element forming the mesh of the calculation model is configured to depend on the position of the mesh on the analysis target.
  • the time of the time term at the node or element that constitutes the mesh of the calculation model of the analysis target when the diffusion equation is discretized is the time of the analysis target. It is configured to depend on the position of the mesh on the object. As a result, since the time of the time term at the nodes or elements forming the mesh of the calculation model of the analysis object depends on the position of the mesh, the elapsed time at each position is reflected in the diffusion equation in advance. As a result, it is not necessary to divide the analysis step so as to correspond to each place. As a result, it is possible to provide a storage medium capable of suppressing a long analysis time.
  • the configuration of the analysis device 100 is configured to analyze the state quantity of the analysis object 210 modeled by the programmed device 200.
  • the analysis device 100 is configured by a computer.
  • the programmed device 200 is, for example, a 3D printer.
  • the analysis target object 210 is a laminated article formed by stacking materials (resin, metal rod) forming the analysis target object 210.
  • the analysis device 100 is a laminated article made of a resin formed by a 3D printer.
  • the state quantity of the analysis target object 210 is the temperature of the analysis target object 210 when the analysis target object 210 is formed.
  • the analysis device 100 includes a calculation model creation unit 10.
  • the calculation model creation unit 10 creates a calculation model of the analysis object 210 by dividing the analysis object 210 into meshes, and reads the calculation model of the analysis object 210 that has been divided into meshes from the outside. It is configured to do at least one.
  • the three-dimensional CAD data of the analysis object 210 created in advance is read from the storage device 220.
  • the analysis target 210 is divided into meshes based on the read three-dimensional CAD data of the analysis target 210.
  • the mesh-divided data of the analysis object 210 is read from the storage device 220.
  • a cylindrical analysis object 210 is divided into minute elements E.
  • the vertex of the minute element E is called a node N.
  • the analysis device 100 includes a condition creation unit 20.
  • the condition creating unit 20 determines the initial value of the state quantity of the analysis object 210, the diffusion coefficient, and the boundary condition, and reads the initial value, the diffusion coefficient, and the boundary condition from the outside (the storage device 220). And at least one of the following.
  • the initial value of the state quantity of the analysis object 210 is the initial value of the temperature of the analysis object 210.
  • the diffusion coefficient is a diffusion coefficient in a diffusion equation described later.
  • the boundary condition is a boundary condition of temperature at the time of analysis (at the time of simulation).
  • the condition creating unit 20 is also configured to determine the diffusion coefficient according to the part of the analysis object 210. For example, the condition creating unit 20 determines the diffusion coefficient to be different between the modeling direction in which the analysis target 210 is modeled and the direction orthogonal to the modeling direction.
  • the coefficient D corresponds to the diffusion coefficient in the diffusion equation represented by the equation (1) described later.
  • the diffusion equation applied to heat transfer is generally called a heat diffusion equation.
  • the coefficient D is described as a coefficient ⁇ .
  • the condition creating unit 20 reads the diffusion coefficient (coefficient ⁇ ) or reads physical properties such as thermal conductivity, specific heat and density from the outside (storage device 220), and determines (calculates) the coefficient ⁇ from the read physical properties.
  • the analysis device 100 also includes a time determination unit 30.
  • the time determination unit 30 performs at least one of determining the time of the node N or the element E forming the mesh of the calculation model of the analysis object 210 and reading the time from the outside (the storage device 220). Is configured.
  • the analysis device 100 also includes an analysis division unit 40.
  • the analysis division unit 40 divides at least one of dividing the analysis of the state quantity of the analysis target 210 into a plurality of steps and reading a plurality of steps of the divided analysis from the outside (the storage device 220). To do.
  • the vertical axis represents the nth step.
  • one step of the analysis may correspond to one layer of the analysis target object 210 which is a laminated article, or may correspond to a plurality of layers. By making one step of analysis correspond to a plurality of layers of the analysis object 210, it becomes possible to analyze the analysis object 210 more quickly.
  • the analysis device 100 also includes a state quantity analysis unit 50.
  • the state quantity analysis unit 50 is configured to analyze the state quantity (temperature) of the analysis object 210 for each of the divided steps based on the diffusion equation shown in the following equation (1).
  • u represents the state quantity (temperature).
  • T represents time.
  • D represents the diffusion coefficient.
  • ⁇ represents Laplacian.
  • S represents the amount of generation (heat received from the boundary, etc.).
  • the finite element method is used to simulate the state quantity (temperature) of the analysis object 210 based on the above diffusion equation.
  • the time of the time term at the node N or the element E configuring the mesh of the calculation model of the analysis object 210 when the diffusion equation is discretized is the mesh of the analysis object 210.
  • the state quantity u and the generated quantity S depend on the position of the mesh, while the time of the time term (t in the above equation (1)) does not depend on the position of the mesh. That is, the state quantity u is expressed as u (t, x, y, z), and the generated quantity S is expressed as S (t, x, y, z).
  • the time t is an independent variable.
  • the time t of the time term is represented as t (x, y, z).
  • the time (t) of the time term corresponds to the time at which the part corresponding to the node N or the element E is formed.
  • the time of the time term at the node N or the element E increases according to the time elapsed after the portion corresponding to the node N or the element E is formed.
  • the time of the time term at the node N or the element E is set for each node N or the element E.
  • the horizontal axis x in FIG. 3 represents the position of the calculation grid.
  • i represents the number of the node N.
  • the vertical axis of FIG. 3 represents time.
  • n represents the n-th step when the analysis of the state quantity of the analysis object 210 is divided into a plurality of steps.
  • the start time of the modeling in step n is t n
  • the end time of the modeling in step n is t n + 1 .
  • the time at which the node i (calculation grid i) is formed is t i .
  • the analysis apparatus 100 also includes a thermal deformation analysis unit 60, as shown in FIG.
  • the calculation model creation unit 10, the condition creation unit 20, the time determination unit 30, the analysis division unit 40, the state quantity analysis unit 50, and the thermal deformation analysis unit 60 are stored in the storage medium 70 inside the analysis device 100.
  • Program 80 (software).
  • step (process) S1 a calculation model of the mesh-divided analysis object 210 is created (and / or read from the outside).
  • step S2 the initial value of the state quantity of the analysis object 210, the diffusion coefficient, and the boundary condition are also determined (and / or read from the outside).
  • the modeling data is read from the outside.
  • the modeling data is, for example, a material discharge portion or a laser beam trajectory P (tool path, see FIG. 5) when modeling a layer of the analysis object 210.
  • the modeling data is NC data that specifies the values of the three-dimensional coordinates (x, y, z) at which the discharge part moves in the NC machine tool that moves the discharge part, the moving speed of the discharge part, and the like. .
  • step S4 multiple steps (calculation steps) of the divided analysis are determined (and / or read from the outside).
  • the number of steps is N.
  • step S5 the calculation of each step is defined. Specifically, in each step, the time of the node N or the element E forming the mesh of the calculation model of the analysis object 210 is determined (and / or read from the outside).
  • step S6 the counter i is set to 0.
  • step S7 the state quantity (temperature) of the analysis object 210 is analyzed based on the diffusion equation for each of the plurality of divided steps.
  • the time (t) of the time term at the node N or the element E is configured to depend on the position of the mesh on the analysis object 210, and thus is divided by one calculation.
  • a one-step analysis is performed.
  • the state quantity (temperature) of the analysis object 210 is analyzed after one layer is generated.
  • FIG. 7 it is shown that the last shaped part becomes relatively hot. The analysis for this one layer is performed in one step.
  • step S8 the thermal deformation of the analysis target 210 when the analysis target 210 is modeled is analyzed using the temperature of the analyzed analysis target 210 as a load condition.
  • the thermal load (thermal deformation) according to the temperature change is calculated in one step of the shaped article 230.
  • step S9 1 is added to the counter i.
  • step S10 it is determined whether the counter i is smaller than the number N of steps. In step S10, in the case of no, the process returns to step S7 and the analysis of the next step is performed. If yes in step S10, the analysis ends.
  • the three-dimensional displacement value of the modeled article 230 is obtained. Further, as shown in FIG. 10, the difference between the modeled article 230 and the CAD data is obtained.
  • a simple calculation model is a one-dimensional analysis object 240.
  • the element 1 is provided between the node 1 and the node 2, and the element 2 is provided between the node 2 and the node 3. Further, the element 3 is provided between the node 3 and the node 4.
  • the equation (2) becomes an equation analyzed by the implicit method.
  • the implicit method is a method of solving simultaneous equations including the unknown number, instead of using only the known number of the current step in order to determine the unknown number of the new step.
  • S i 0.1.
  • the subscript i is 1, 2, 3 or 4.
  • the following equations (3-1) to (3-4) are obtained.
  • the time of the time term at the node N or the element E that constitutes the mesh of the calculation model of the analysis object 210 when the diffusion equation is discretized is the time of the analysis object 210. Is configured to depend on the position of the mesh at.
  • the time of the time term at the node N or the element E forming the mesh of the calculation model of the analysis object 210 depends on the position of the mesh, the elapsed time at each position is reflected in the diffusion equation in advance. .
  • the analysis time from increasing.
  • the analysis object 210 is configured to be shaped by the programmed device 200, and in the discretized diffusion equation, the time term at the node N or the element E is set.
  • the time of is configured to correspond to the time when the portion corresponding to the node N or the element E is formed. This makes it possible to prevent the analysis time from increasing in the analysis of the state quantity of the analysis object 210 modeled by the programmed apparatus 200.
  • the time of the time term at the node N or the element E is the time elapsed after the portion corresponding to the node N or the element E is formed. It is configured to increase accordingly.
  • the time of the time term at the node N or the element E corresponds to the time that has elapsed after the actual modeling, so that the state quantity of the analysis object 210 can be appropriately analyzed.
  • the state quantity of the analysis object 210 includes the temperature of the analysis object 210 when the analysis object 210 is modeled. Therefore, in the analysis of the temperature of the analysis target 210 when the analysis target 210 is modeled, it is possible to suppress a long analysis time.
  • the temperature of the analysis object 210 analyzed by the state quantity analysis unit 50 is set as the load condition, and the thermal deformation of the analysis object 210 when the analysis object 210 is modeled.
  • a thermal deformation analysis unit 60 that performs analysis is provided.
  • the analysis time of the temperature of the analysis target 210 when the analysis target 210 is modeled is suppressed from increasing, so that the total of the analysis of the temperature of the analysis target 210 and the analysis of the thermal deformation is suppressed. The time can be shortened.
  • the time of the time term at the node N or the element E is set for each node N or the element E.
  • the time of the time term is set in relatively detail, so that the state quantity of the analysis object 210 can be accurately analyzed.
  • the initial value of the state quantity of the analysis object 210, the diffusion coefficient, and the boundary condition are determined, and the initial value, the diffusion coefficient, and the boundary condition are read from the outside.
  • a condition creating unit 20 that performs at least one of the above is provided.
  • the condition creation unit 20 easily (automatically rather than manually inputs) at least one of the determination and reading of the initial value of the state quantity of the analysis object 210, the diffusion coefficient, and the boundary condition. be able to.
  • the condition creating unit 20 is configured to determine the diffusion coefficient according to the part of the analysis object 210. Accordingly, for example, the state quantity of the analysis object 210 can be analyzed more accurately by making the diffusion coefficient different between the modeling direction in which the analysis object 210 is modeled and the direction orthogonal to the modeling direction. it can. Further, by setting the diffusion coefficient according to the time difference between adjacent elements or nodes, the state quantity of the analysis object 210 can be analyzed more accurately.
  • the analysis target object 210 includes a laminated article formed by stacking materials forming the analysis target object 210.
  • the state quantity for one layer can be analyzed by one calculation step. it can.
  • the state quantity for a plurality of layers can be analyzed by one analysis step. There is no problem even if the analysis of one layer is divided into a plurality of analysis steps.
  • the analysis target is a molded product (laminated product) molded by a programmed device
  • the present invention is not limited to this.
  • the present invention can also be applied to analysis of things other than shaped articles, flows, and the like.
  • the present invention is not limited to this.
  • the present invention can also be applied to analysis of magnetic fields other than temperature.
  • the time of the time term at the node or element is set for each node or element, but the present invention is not limited to this.
  • the time of the time term may be set for each of a plurality of nodes or a plurality of elements.
  • the calculation model creation unit, the condition creation unit, the time determination unit, the analysis division unit, the state quantity analysis unit, and the thermal deformation analysis unit are implemented by the program (software) stored in the storage medium of the analysis device.
  • the program software stored in the storage medium of the analysis device.
  • the present invention is not limited to this.
  • the above program may be stored in a storage medium provided separately from the analysis device.

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Abstract

La présente invention ‌a‌ ‌pour‌ ‌objet‌ de‌ fournir un dispositif d'analyse qui peut empêcher la prolongation du temps d'analyse. Plus précisément, l'invention concerne un dispositif d'analyse 100 comprenant une unité d'analyse de quantité d'état 50 qui, pour chacune d'une pluralité segmentée d'étapes, analyse une quantité d'état 210 d'un sujet d'analyse sur la base d'une équation de diffusion. Le dispositif d'analyse est configuré de telle sorte que, dans l'équation de diffusion, un temps t, d'un terme de temps pour un nœud N ou un élément E constituant un maillage d'un modèle de calcul du sujet d'analyse 210 lorsque l'équation de diffusion est discrétisée, dépend de la position du maillage dans le sujet d'analyse 210.
PCT/JP2019/039584 2018-10-18 2019-10-08 Dispositif d'analyse, procédé d'analyse, programme et support d'informations WO2020080175A1 (fr)

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Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20170087767A1 (en) * 2015-09-29 2017-03-30 Iowa State University Research Foundation, Inc. Closed loop 3d printing

Patent Citations (1)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
US20170087767A1 (en) * 2015-09-29 2017-03-30 Iowa State University Research Foundation, Inc. Closed loop 3d printing

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
ZHENG, C. J. ET AL.: "Modeling and cooling rate control in laser additive manufacturing: 1-D PDE formulation", PROCEEDINGS OF THE 2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL, 15 December 2017 (2017-12-15), pages 5020 - 5025, XP033304567, DOI: 10.1109/CDC.2017.8264402 *

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