CN-121257136-B - Method and device for representing boundary rigidity of lattice structure and electronic equipment

CN121257136BCN 121257136 BCN121257136 BCN 121257136BCN-121257136-B

Abstract

The disclosure provides a method, a device and electronic equipment for representing the boundary rigidity of a lattice structure, and belongs to the field of material mechanics and structural design. The method comprises the steps of dividing a lattice structure to obtain divided lattice cells, determining the types of the lattice cells, indicating the integrity of the lattice cells, determining the equivalent rigidity of the lattice cells based on the types and the rod boundary conditions of the lattice cells, and indicating the stress constraint state of the rod by the rod boundary conditions. Compared with the existing heterogeneous multi-scale finite element fixed calculation method, the method can be used for adopting differential flexible mechanical calculation aiming at lattice cells with different integrity types and combining specific rod member boundary conditions, and errors caused by unified calculation are avoided. In conclusion, the technical scheme provided by the disclosure can improve the accuracy of representing the boundary rigidity of the lattice structure, reduce error accumulation and adapt to various application scenes.

Inventors

ZHENG YONGJIAN
GUO YUE
DUAN CHENGYU
LIN ZHANYUAN
ZHANG HAO
YANG YANG
HUANG QIZHONG
QIU ZIXIANG
WANG HAIXUAN

Assignees

中国科学院宁波材料技术与工程研究所
北京宇航系统工程研究所

Dates

Publication Date: 20260512
Application Date: 20251208

Claims (6)

1. A method of characterizing lattice structure boundary stiffness, the method comprising: dividing the lattice structure to obtain divided lattice cells; determining the type of the lattice cell, wherein the type is used for indicating the integrity of the lattice cell; Determining equivalent stiffness of the lattice cell based on the type and a rod boundary condition of the lattice cell, wherein the rod boundary condition is used for indicating a stress constraint state of the rod; The method comprises the steps of determining the equivalent stiffness of a lattice cell based on the type and the rod boundary condition of the lattice cell, wherein the method comprises the steps of determining the rod length, the rod radius, the rod space inclination angle and the rod material elastic modulus of the lattice cell based on the type, establishing a first correlation equation of the rod length, the rod radius, the rod space inclination angle and the load and deformation of the rod material elastic modulus when the rod boundary condition is in a full-stress constraint state, obtaining the equivalent stiffness, establishing a second correlation equation of the rod length, the rod radius, the rod space inclination angle and the displacement and deformation of the rod material elastic modulus when the rod boundary condition is in a non-stress constraint state, obtaining the equivalent stiffness, and establishing a third correlation equation of the rod length, the rod radius, the rod space inclination angle and the load, displacement and deformation of the rod material elastic modulus when the rod boundary condition is in a half-stress constraint state, obtaining the equivalent stiffness; When the rod boundary condition is a full-stress constraint state, a first association equation of the load and deformation of the rod length, the rod radius, the rod spatial inclination angle and the rod material elastic modulus is established to obtain the equivalent stiffness, wherein the first association equation is established based on the rod spatial inclination angle to obtain a first load in a one-dimensional direction, the one-dimensional direction is a Z-axis direction, the first deformation of the rod is determined based on the rod length, the rod radius and the rod material elastic modulus, the first deformation is an axial equivalent deformation of the rod along the Z-axis direction, and the first association equation is established based on the first load and the first deformation by using a stress strain mechanism to obtain the equivalent stiffness; When the rod member boundary condition is in a stress-free constraint state, a second association equation of displacement and deformation of the rod member length, the rod member radius, the rod member spatial inclination angle and the rod member material elastic modulus is established to obtain the equivalent stiffness, wherein the second association equation is established based on the rod member spatial inclination angle to obtain a first decomposition result, the three-dimensional direction is an X axis, a Y axis and a Z axis, the second deformation amount of the rod member is determined based on the rod member length, the rod member radius and the rod member material elastic modulus, the second deformation amount is the total deformation amount of the rod member after superposition of axial equivalent deformation and bending deformation along the three-dimensional direction, and the equivalent stiffness is obtained by utilizing a stress-strain mechanism and establishing the second association equation based on the first decomposition result and the second deformation amount; When the rod boundary condition is in a semi-stressed constraint state, a third correlation equation of the rod length, the rod radius, the rod spatial inclination angle and the load, displacement and deformation of the rod material elastic modulus is established to obtain the equivalent stiffness, wherein the third correlation equation is established based on the rod spatial inclination angle, the second load in one-dimensional direction and the second decomposition result of three-dimensional displacement, the third deformation amount of the rod is determined based on the rod length, the rod radius and the rod material elastic modulus, the third deformation amount is the total deformation amount of the rod after the axial equivalent deformation and bending deformation of the rod in the three-dimensional direction are superposed, and the equivalent stiffness is obtained by utilizing a stress strain mechanism and based on the second load, the second decomposition result and the third deformation amount.
2. The method of claim 1, wherein the types include sub-complete type and complete type, the sub-complete type being obtained based on symmetric processing for dividing residual lattice cells.
3. The method of claim 1, wherein the rod boundary conditions include a fully constrained state, a non-constrained state, and a semi-constrained state.
4. The method of claim 1, wherein the partitioning method for partitioning the lattice structure comprises at least one of a periodic reference partitioning method, a geometric symmetry plane partitioning method, and a functional partition boundary partitioning method.
5. An apparatus for characterizing lattice structure boundary stiffness, the apparatus comprising: the dividing unit is used for dividing the lattice structure and acquiring divided lattice cells; The first determining unit is used for determining the type of the lattice cell, wherein the type is used for indicating the integrity of the lattice cell; The second determining unit is used for determining the equivalent stiffness of the lattice cell based on the type and the rod boundary condition of the lattice cell, wherein the rod boundary condition is used for indicating the stress constraint state of the rod; The method comprises the steps of determining the equivalent stiffness of a lattice cell based on the type and the rod boundary condition of the lattice cell, wherein the method comprises the steps of determining the rod length, the rod radius, the rod space inclination angle and the rod material elastic modulus of the lattice cell based on the type, establishing a first correlation equation of the rod length, the rod radius, the rod space inclination angle and the load and deformation of the rod material elastic modulus when the rod boundary condition is in a full-stress constraint state, obtaining the equivalent stiffness, establishing a second correlation equation of the rod length, the rod radius, the rod space inclination angle and the displacement and deformation of the rod material elastic modulus when the rod boundary condition is in a non-stress constraint state, obtaining the equivalent stiffness, and establishing a third correlation equation of the rod length, the rod radius, the rod space inclination angle and the load, displacement and deformation of the rod material elastic modulus when the rod boundary condition is in a half-stress constraint state, obtaining the equivalent stiffness; When the rod boundary condition is a full-stress constraint state, a first association equation of the load and deformation of the rod length, the rod radius, the rod spatial inclination angle and the rod material elastic modulus is established to obtain the equivalent stiffness, wherein the first association equation is established based on the rod spatial inclination angle to obtain a first load in a one-dimensional direction, the one-dimensional direction is a Z-axis direction, the first deformation of the rod is determined based on the rod length, the rod radius and the rod material elastic modulus, the first deformation is an axial equivalent deformation of the rod along the Z-axis direction, and the first association equation is established based on the first load and the first deformation by using a stress strain mechanism to obtain the equivalent stiffness; When the rod member boundary condition is in a stress-free constraint state, a second association equation of displacement and deformation of the rod member length, the rod member radius, the rod member spatial inclination angle and the rod member material elastic modulus is established to obtain the equivalent stiffness, wherein the second association equation is established based on the rod member spatial inclination angle to obtain a first decomposition result, the three-dimensional direction is an X axis, a Y axis and a Z axis, the second deformation amount of the rod member is determined based on the rod member length, the rod member radius and the rod member material elastic modulus, the second deformation amount is the total deformation amount of the rod member after superposition of axial equivalent deformation and bending deformation along the three-dimensional direction, and the equivalent stiffness is obtained by utilizing a stress-strain mechanism and establishing the second association equation based on the first decomposition result and the second deformation amount; When the rod boundary condition is in a semi-stressed constraint state, a third correlation equation of the rod length, the rod radius, the rod spatial inclination angle and the load, displacement and deformation of the rod material elastic modulus is established to obtain the equivalent stiffness, wherein the third correlation equation is established based on the rod spatial inclination angle, the second load in one-dimensional direction and the second decomposition result of three-dimensional displacement, the third deformation amount of the rod is determined based on the rod length, the rod radius and the rod material elastic modulus, the third deformation amount is the total deformation amount of the rod after the axial equivalent deformation and bending deformation of the rod in the three-dimensional direction are superposed, and the equivalent stiffness is obtained by utilizing a stress strain mechanism and based on the second load, the second decomposition result and the third deformation amount.
6. An electronic device, comprising: a memory for storing computer readable instructions, and A processor for executing the computer readable instructions to cause the electronic device to perform the method of any of claims 1-4.

Description

Method and device for representing boundary rigidity of lattice structure and electronic equipment Technical Field The present disclosure relates to the field of material mechanics and structural design, and in particular, to a method, an apparatus, and an electronic device for characterizing boundary stiffness of a lattice structure. Background At present, the existing non-periodic lattice structures and the like aiming at complex shapes mostly adopt a heterogeneous multi-scale finite element (first macroscopic decomposition and then microscopic calculation) method to calculate equivalent rigidity. However, after macroscopic decomposition, the geometric structures of the different residual lattice cells are not the same, and the microscopic calculation is difficult to use with unified mechanical calculation, which may result in low calculation accuracy and increased risk of error accumulation. In summary, even with heterogeneous multi-scale finite element methods, the accuracy of the equivalent stiffness determined by the method is reduced without considering the differential influence of the residual lattice cells, and the method is difficult to adapt to various application scenes. Disclosure of Invention The disclosure provides a method, a device and electronic equipment for representing boundary rigidity of a lattice structure, which are used for solving the problems that the accuracy of equivalent rigidity determined by the method is reduced and the method is difficult to adapt to various application scenes under the condition that the influence of differences of residual lattice cells is not considered in the existing method for utilizing heterogeneous multi-scale finite elements to a certain extent. According to one aspect of the disclosure, a method for characterizing the boundary stiffness of a lattice structure is provided, and the method comprises the steps of segmenting the lattice structure to obtain segmented lattice cells, determining the type of the lattice cells, indicating the integrity of the lattice cells, determining the equivalent stiffness of the lattice cells based on the type and the rod boundary conditions of the lattice cells, and indicating the stress constraint state of the rod by the rod boundary conditions. Furthermore, in accordance with one aspect of the present disclosure, the types include sub-complete and complete, the sub-complete being based on symmetric processing of the lattice cells of the segmentation residual. Further, in accordance with a method of one aspect of the present disclosure, the rod boundary conditions include a fully constrained state, an unconstrained state, and a semi-constrained state. In addition, the method according to one aspect of the disclosure determines equivalent stiffness of the lattice cell based on the type and the rod boundary condition of the lattice cell, and comprises the steps of determining the rod length, the rod radius, the rod spatial inclination angle and the rod material elastic modulus of the lattice cell based on the type, establishing a first correlation equation of load and deformation of the rod length, the rod radius, the rod spatial inclination angle and the rod material elastic modulus when the rod boundary condition is in a full-stress constraint state, obtaining equivalent stiffness, establishing a second correlation equation of displacement and deformation of the rod length, the rod radius, the rod spatial inclination angle and the rod material elastic modulus when the rod boundary condition is in a non-stress constraint state, obtaining equivalent stiffness, and establishing a third correlation equation of load, displacement and deformation of the rod length, the rod radius, the rod spatial inclination angle and the rod material elastic modulus when the rod boundary condition is in a half-stress constraint state, and obtaining equivalent stiffness. In addition, according to the method of one aspect of the disclosure, when the rod boundary condition is in a full-stress constraint state, a first correlation equation of the load and deformation of the rod length, the rod radius, the rod spatial inclination angle and the rod material elastic modulus is established, and the equivalent rigidity is obtained, wherein the first load in a one-dimensional direction is obtained by decomposition based on the rod spatial inclination angle; the method comprises the steps of determining a first deformation amount of a rod piece based on the length of the rod piece, the radius of the rod piece and the elastic modulus of the material of the rod piece, wherein the first deformation amount is an axial equivalent deformation amount of the rod piece along the Z-axis direction, establishing a first correlation equation based on a first load and the first deformation amount by using a stress strain mechanism, and solving to obtain equivalent stiffness. In addition, according to the method of one aspect of the disclosure, when the rod boun