CN110781588A - Method for generating wire laying angle reference line by intersecting helical surface and revolving body curved surface - Google Patents
Method for generating wire laying angle reference line by intersecting helical surface and revolving body curved surface Download PDFInfo
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Abstract
The application relates to the technical field of automatic manufacturing of composite materials, and discloses a method for generating a wire laying angle reference line by intersecting a helicoid and a curved surface of a revolving body. The thread spreading angle reference line can adjust the thread pitch, meets the requirements of process design angle deviation and generation of a tow spreading path and simulation by thread spreading software, greatly improves the efficiency and accuracy of making the spiral winding angle reference line compared with the traditional method for creating the angle reference line, and does not need a Catia secondary development and programming program to realize automatic operation to solve the problem.
Description
Technical Field
The invention relates to the technical field of automatic manufacturing of composite materials, in particular to a method for generating a wire laying angle reference line by intersecting a spiral surface and a revolving body curved surface.
Background
The automatic composite material laying technology mainly takes an automatic tape laying technology and an automatic wire laying technology as main technologies, the automatic tape laying technology is mainly suitable for large-size composite material components with small curvature change, certain requirements are required for laying angle laying path planning, and the automatic wire laying technology with large curvature change has higher requirements for laying angle path planning. For a special-shaped revolving body composite material component, the establishment of a revolving layer angle reference line enveloping along the direction of the revolving body warp line is particularly difficult, the requirement that laying filament bundles can be generated by filament laying off-line programming software needs to be met, the process requirement of angle deviation in revolving needs to be met, if the angle deviation is greater than the design deviation, the generated laying filament bundles cannot meet the process mechanical property requirement, if the angle lines are wound too densely, the laying filament bundles cannot be generated, or the laying property is extremely poor due to too large bending radius. Therefore, after the creation of the angle reference line is completed, the thread pitch can be adjusted rapidly to meet the process design requirements of tow spreadability and angle deviation.
The traditional method for creating the envelope angle reference line in the direction of the weft of the revolving body is as follows: a gravity center line is taken as a generatrix, a series of points are selected on the gravity center line, each point is taken as a plane perpendicular to a tangent vector of the gravity center line at the point, and the plane is intersected with the surface of the revolving body member to obtain M intersected lines which are marked as L1, L2 and L3 … … Lm. With this series of intersections, each intersection is divided into N equal parts using an bisecting point, so that N bisecting points exist on each intersection, as shown in fig. 1. The point on the mth intercept line is recorded as: p (m,1), P (m,2), P (m,3) … … P (m, n), taking points P (1,1), P (2, 2)) … … P (n, n), P (n +1,1), P (n +2,2) … … to the point m on the intersecting line, using a sample line, connecting and fitting the points into a sample line, namely a weft direction envelope angle reference line, as shown in fig. 2. When the traditional method is used for establishing the intersecting line, the equal division point and other operations, the time is consumed, the complexity is high, the workload is large, and the problem is solved by adopting a secondary development and programming program to realize automatic operation.
Therefore, a method is needed for creating a revolving filament-laying angle reference line enveloped along the direction of a revolving body weft, the aim of the method is to conveniently and simply adjust the enveloping revolving density degree of the reference line to control the pitch size of a spiral, and the requirement of the ply angle deviation can be met.
Disclosure of Invention
In order to overcome the problems and the defects in the prior art, the invention provides a method for creating a reference line trajectory plan of a fiber laying angle by intersecting a spiral surface and a curved surface of a special-shaped revolving body based on CatiaV5 software.
In order to achieve the above object, the technical solution of the present invention is as follows:
a method for generating a fiber laying angle reference line by intersecting a spiral surface and a revolving body curved surface specifically comprises the following steps:
A. establishing a gravity center line;
B. creating a helicoid by taking a gravity center line as a bus;
C. the generated spiral surface is intersected with the curved surface of the special-shaped revolving body composite material component to obtain an angle reference line spirally wound on the curved surface of the special-shaped revolving body composite material component.
Further, in the step a, a specific method for creating the gravity center line is as follows:
firstly, establishing curved surface warps, equally dividing each warp into N equal parts, connecting each equal division point to form a ring in the weft direction, filling the ring into a surface intersecting with the special-shaped revolving body to obtain a complete ring on the curved surface of the special-shaped revolving body, establishing a gravity center point on the geometric surface of the ring through a Catia measuring tool to form a point set, and then connecting the gravity center points to obtain the gravity center line of the special-shaped revolving body.
Further, in the step B, a specific method for creating the helicoid by using the gravity center line as the bus is as follows:
a method for generating a wire laying angle reference line track planning based on intersection of a Catia spiral surface and a special-shaped revolving body curved surface can be represented by an equation of a spiral line
Wherein R is a base circleColumn radius, P is spiral constant, and the mark frame is selected on the spiral line
So that
Assuming ξ (t), η (t), ζ (t) are components of any point on the bus on the frame, the bus equation can be expressed as
Thus, the helicoidal equation can be expressed as
Transforming the said spiral surface circle vector function expression into rectangular coordinate expression
Further, in the step C, a specific method for generating the reference line of the spiral winding angle is as follows:
after the creation of the spiral surface is completed, intersecting the spiral surface and the curved surface of the special-shaped revolving body through a Catia V5 intersecting command to obtain an intersecting line, wherein the intersecting line is a line of the spiral surface for cutting the curved surface of the special-shaped revolving body, and the intersecting line is an angle reference line spirally wound on the curved surface of the special-shaped revolving body composite material component and is used for laying tow track planning and tow generation.
The invention has the beneficial effects that:
(1) the thread spreading angle reference line can adjust the thread pitch, meets the requirements of process design angle deviation and thread spreading software for generating a thread bundle laying path and simulating, greatly improves the efficiency and accuracy of making the spiral winding angle reference line compared with the traditional method for creating the angle reference line, does not need a Catia secondary development and programming program to realize automatic operation to solve the problem, greatly reduces the workload and improves the working efficiency.
(2) According to the method, a gravity center line is directly used as a bus to create a helicoid, and finally the helicoid and a rotator face are intersected to generate a fiber laying angle reference line. The number of turns of the spiral surface rotation can be controlled by adjusting the value of the rotation angle phi through the rule curve, so that the rising angle of the spiral of the angle reference line is adjusted, the pitch value is indirectly and rapidly controlled (the size of the pitch value determines how many carbon fiber tows with fixed width can be laid by the fiber laying machine at the same time), and the programming efficiency is improved.
Drawings
FIGS. 1 and 2 are schematic diagrams of a conventional method for creating a reference line of an enveloping angle in a weft direction of a revolving body in the background of the present application;
FIG. 3 is a schematic view of the construction of the gravity center line of the special-shaped revolving body of the present application;
FIG. 4 is a schematic view when the helical generatrix is in axial section;
FIG. 5 is a schematic representation of helicoid creation of the present application;
FIG. 6 is a schematic view of an angle reference line for creating an intersection between a spiral surface and a curved surface of a special-shaped revolving body by using a gravity center line as a generatrix according to the present application.
Detailed Description
The present invention will be described in further detail with reference to examples, but the embodiments of the present invention are not limited thereto.
Examples
The embodiment provides a method for generating a reference line of a wire laying angle by intersecting a spiral surface and a curved surface of a revolving body, which is a method for generating a reference line trajectory plan of the wire laying angle by intersecting the spiral surface and the curved surface of a special-shaped revolving body based on Catia V5 software, and the specific implementation mode is as follows:
A. creating a center of gravity line
The gravity center line is a curve formed by fitting the gravity centers of the solid sections of the special-shaped revolving bodies, is a bus of a helicoid, and the gravity center distribution conditions of the revolving body composite member and the tooling die need to be considered in the structural design, so that the gravity center line is selected as a reference line of the helicoid, the ply design of the composite member in the rotation angle direction can be fitted to the maximum extent, and the mechanical property of the ply of the composite member at the angle can be obtained. Before a gravity center line is created, firstly, the warp lines of a curved surface need to be created, then the warp lines are equally divided into N equal parts, therefore, each warp line on the curved surface is provided with N equal parts, the more the equal parts are, the more the obtained section gravity center points are, the better the gravity center line of the special-shaped revolving body can be fitted, after the N equal parts are obtained, the equal parts are respectively connected to form a ring in the weft direction, the ring is filled into a surface and is intersected with the special-shaped revolving body to obtain a complete ring on the curved surface of the special-shaped revolving body, the gravity center points are created on the geometric surface of the ring through a Catia measuring tool to form a point set, and then the gravity center lines of the special-shaped revolving body can be obtained by sequentially connecting the gravity center points, as shown in figure.
B. Creating helicoids with a center of gravity line as a generatrix
A method for generating a wire laying angle reference line track planning based on intersection of a Catia spiral surface and a special-shaped revolving body curved surface can be represented by an equation of a spiral line
Wherein R is the radius of the base cylinder, P is the spiral constant, and the mark selecting frame is arranged on the spiral line
So that
Assuming ξ (t), η (t), ζ (t) are components of any point on the bus on the frame, the bus equation can be expressed as
Thus, the helicoidal equation can be expressed as
Transforming the said spiral surface circle vector function expression into rectangular coordinate expression
When the helical busbar is in axial section, as shown in FIG. 4, any point on the busbar is on the frame
Component of
η(t)＝0
The spiral surface of the special-shaped revolving body composite material component takes the gravity center line as the generatrix, and obviously the generatrix is on the section of the axis of the special-shaped revolving body composite material component, so the equation of the spiral surface can be obtained by the formula (3)
The right-angle expression of the helicoid at this time can be obtained from the formula (4) as
Wherein P is the helical constant
R represents the length of the contour line segment, and phi represents the end value of the angle of the law curve.
Sweep command through Catia V5, using the line segment of the center of gravity line as the generatrix as the guide line of the helicoid helix, then the L value is the length of the line segment of the center of gravity line, using a line segment of the normal plane of the center of gravity line which is larger than the maximum radius of the revolving body as the contour line, the R value is the length of the line segment of the contour line, selecting the normal plane of the center of gravity line as the reference plane, setting the initial value of the angle to be 0 on the rule curve, customizing the end value phi of the angle, and substituting into the expression of the rectangular coordinates of the helicoid, thus obtaining the. The pitch of the intersection line of the spiral surface and the curved surface of the special-shaped revolving body can be adjusted by inputting values of different phi, so that the pitch value reaches the required value for manufacturing engineering parts, the angle deviation of the reference line reaches the process design range when the tows for filament laying are wound and laid, and the type of the rule curve is set to be linear. By this method a helicoid can be created, as shown in fig. 5.
C. The generated spiral surface is intersected with the curved surface of the special-shaped revolving body composite material component to obtain an angle reference line spirally wound on the curved surface of the special-shaped revolving body composite material component
After the creation of the helicoid is completed in the second step, the helicoid is intersected with the curved surface of the special-shaped revolving body through a Catia V5 intersection command to obtain an intersection line, the intersection line is a line of the helicoid for cutting the curved surface of the special-shaped revolving body, and the intersection line can be used as an angle reference line for spirally winding the curved surface of the special-shaped revolving body composite material component for laying tow track planning and tow generation, as shown in fig. 6.
When the length of the gravity center line is a fixed value, a tow laying path and simulation requirements are generated according to process design angle deviation and filament laying software, the number of turns of rotation of the spiral surface can be controlled by adjusting a rule curve to adjust a rotation angle phi value when the spiral surface is created, so that the rising angle of the spiral of the angle reference line is adjusted, the pitch value is indirectly and quickly controlled, and the size of the pitch value determines how many carbon fiber tows with fixed width can be laid by the filament laying machine at the same time so as to meet the process requirements of filament laying angle, laying efficiency and the like.
In the description of the present invention, it is to be understood that the terms "center", "longitudinal", "lateral", "front", "rear", "left", "right", "vertical", "horizontal", "top", "bottom", "inner", "outer", etc., indicate orientations or positional relationships based on those shown in the drawings, and are used merely for convenience in describing the present invention and for simplifying the description, and do not indicate or imply that the device or element being referred to must have a particular orientation, be constructed and operated in a particular orientation, and therefore, should not be taken as limiting the scope of the present invention.
The above description is only a preferred embodiment of the present invention, and is not intended to limit the present invention in any way, and all simple modifications and equivalent variations of the above embodiments according to the technical spirit of the present invention are included in the scope of the present invention.
Claims (4)
1. A method for generating a fiber laying angle reference line by intersecting a spiral surface and a revolving body curved surface is characterized by comprising the following steps of: the method specifically comprises the following steps:
A. establishing a gravity center line;
B. creating a helicoid by taking a gravity center line as a bus;
C. the generated spiral surface is intersected with the curved surface of the special-shaped revolving body composite material component to obtain an angle reference line spirally wound on the curved surface of the special-shaped revolving body composite material component.
2. The method for generating the reference line of the filament spreading angle by intersecting the spiral surface with the curved surface of the revolution body according to claim 1, wherein the reference line of the filament spreading angle is generated by intersecting the spiral surface with the curved surface of the revolution body, and the reference line of the filament spreading angle is generated by intersecting the spiral surface with the curved surface of the: in the step a, a specific method for creating a gravity center line is as follows:
firstly, establishing curved surface warps, equally dividing each warp into N equal parts, connecting each equal division point to form a ring in the weft direction, filling the ring into a surface intersecting with the special-shaped revolving body to obtain a complete ring on the curved surface of the special-shaped revolving body, establishing a gravity center point on the geometric surface of the ring through a Catia measuring tool to form a point set, and then connecting the gravity center points to obtain the gravity center line of the special-shaped revolving body.
3. The method for generating the reference line of the filament spreading angle by intersecting the spiral surface with the curved surface of the revolution body according to claim 1, wherein the reference line of the filament spreading angle is generated by intersecting the spiral surface with the curved surface of the revolution body, and the reference line of the filament spreading angle is generated by intersecting the spiral surface with the curved surface of the: in the step B, the specific method for creating the helicoid by taking the gravity center line as the bus comprises the following steps:
a method for generating a wire laying angle reference line track planning based on intersection of a Catia spiral surface and a special-shaped revolving body curved surface can be represented by an equation of a spiral line
Wherein R is the radius of the base cylinder, P is the spiral constant, and the mark selecting frame is arranged on the spiral line
So that
Assuming ξ (t), η (t), ζ (t) are components of any point on the bus on the frame, the bus equation can be expressed as
Thus, the helicoidal equation can be expressed as
Transforming the said spiral surface circle vector function expression into rectangular coordinate expression
4. The method for generating the reference line of the filament spreading angle by intersecting the spiral surface with the curved surface of the revolution body according to claim 1, wherein the reference line of the filament spreading angle is generated by intersecting the spiral surface with the curved surface of the revolution body, and the reference line of the filament spreading angle is generated by intersecting the spiral surface with the curved surface of the: in the step C, a specific method of generating the reference line of the spiral winding angle is as follows:
after the creation of the spiral surface is completed, intersecting the spiral surface and the curved surface of the special-shaped revolving body through a Catia V5 intersecting command to obtain an intersecting line, wherein the intersecting line is a line of the spiral surface for cutting the curved surface of the special-shaped revolving body, and the intersecting line is an angle reference line spirally wound on the curved surface of the special-shaped revolving body composite material component and is used for laying tow track planning and tow generation.
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