CN117473674A - Light structural strength analysis method and light structural strength analysis model - Google Patents

Light structural strength analysis method and light structural strength analysis model Download PDF

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CN117473674A
CN117473674A CN202311495920.0A CN202311495920A CN117473674A CN 117473674 A CN117473674 A CN 117473674A CN 202311495920 A CN202311495920 A CN 202311495920A CN 117473674 A CN117473674 A CN 117473674A
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vector
base load
load vector
matrix
stress
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陈奔
刘健健
李元林
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Pera Corp Ltd
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Abstract

The application relates to a lightweight structural strength analysis method and a lightweight structural strength analysis model. The method comprises the following steps: acquiring at least one base load vector and node displacement, unit direction stress and unit tangential stress corresponding to each base load vector of the at least one base load vector; according to the at least one base load vector and a one-dimensional row vector of the load data to be analyzed of the equipment, obtaining a weight corresponding to each base load vector of the at least one base load vector; and calculating a structural strength result corresponding to the load data to be analyzed according to the weight, the node displacement, the unit direction stress and the unit tangential stress corresponding to each basic load vector of the at least one basic load vector. According to the scheme, the lightweight modeling of the structural strength analysis can be realized based on the basic load vector, the modeling difficulty of the lightweight structural strength analysis model is reduced, the strength performance of the equipment structure under different working condition loads is rapidly analyzed, and the structural strength result of the equipment is obtained.

Description

Light structural strength analysis method and light structural strength analysis model
Technical Field
The application relates to the technical field of structural strength analysis, in particular to a lightweight structural strength analysis method and a lightweight structural strength analysis model.
Background
The analysis of the structural strength of the equipment refers to analyzing and calculating the stress, deformation, stress, strain and the like of the equipment structure under different load conditions by applying a mathematical method and a computer simulation technology so as to evaluate the strength and the reliability of the equipment structure, thereby ensuring the safe operation of the equipment.
In the related art, two methods for analyzing the structural strength of equipment are adopted, one method is to construct a proxy model by using a superunit method, the superunit analyzes the stress conditions of the units respectively by decomposing the structure into small sub-structural units, and then considers the interaction between the units to obtain the strength information of the whole structure, and the method has the advantages of high complexity, large calculated amount and large calculation resource requirement, and is difficult to construct an accurate proxy model and define accurate interface conditions and easy to introduce approximate errors particularly when complex nonlinear and non-uniform structures are processed; the other is to construct the agent model by a machine learning mode, the machine learning agent model is constructed by selecting a proper machine learning model, meanwhile, a large amount of high-quality training data is relied on, the data quality has an important influence on the performance of the agent model, the finally trained agent model can only predict a specific small amount of parameters, typical working condition analysis usually needs to calculate hundreds of thousands of working conditions, and the equipment structural strength analysis method for constructing the agent model by machine learning cannot adapt to complex and various working conditions, and the whole process is very long in time consumption and low in efficiency.
In summary, in the related art, the structural strength analysis of the device needs to process a large amount of data, the calculation amount is large, and the structural strength of the device cannot be rapidly analyzed under complex and diverse working conditions.
Disclosure of Invention
In order to solve or partially solve the problems existing in the related art, the application provides a lightweight structural strength analysis method and a lightweight structural strength analysis model, which can realize lightweight modeling of structural strength analysis based on a base load vector, reduce modeling difficulty of the lightweight structural strength analysis model, rapidly analyze strength performance of a device structure under different working condition loads, and obtain structural strength results of the device.
A first aspect of the present application provides a lightweight structural strength analysis method, the method comprising:
converting load data to be analyzed of the equipment into one-dimensional row vectors;
acquiring at least one base load vector, and acquiring node displacement, unit direction stress and unit tangential stress corresponding to each base load vector of the at least one base load vector;
according to the at least one base load vector and the one-dimensional row vector, obtaining the weight corresponding to each base load vector of the at least one base load vector;
Calculating a structural strength result corresponding to the load data to be analyzed according to the weight, the node displacement, the unit direction stress and the unit tangential stress corresponding to each basic load vector of the at least one basic load vector, wherein the structural strength result comprises at least one of the following: total displacement, principal stress and Mi Saisi stress.
Preferably, the acquiring at least one base load vector includes:
acquiring a load data matrix of the equipment according to the load data of each set loading position of each task section of the equipment at each time;
performing singular value decomposition on the load data matrix to obtain a right singular vector matrix of the load data matrix;
and acquiring and storing the at least one base load vector according to the right singular vector matrix.
Preferably, the singular value decomposition is performed on the load data matrix to obtain a right singular vector matrix of the load data matrix, and the method further includes: acquiring a singular value matrix of the load data matrix;
the obtaining and storing the at least one base load vector according to the right singular vector matrix includes:
according to the right singular vector matrix, M vector matrixes are obtained, wherein M is equal to the column number of the load data matrix;
According to the singular value matrix, calculating energy loss corresponding to each vector matrix of the M vector matrices;
according to the energy loss corresponding to each vector matrix of the M vector matrices and the order corresponding to each vector matrix of the M vector matrices, an N-order vector matrix is obtained, wherein the energy loss of the vector matrix and/or the order of the vector matrix meets the set condition, and N=1, 2, 3, … and M;
and carrying out vector normalization processing on the 1-N-order vector matrix to obtain N1-N-order base load vectors.
Preferably, the calculating, according to the singular value matrix, the energy loss corresponding to each of the M vector matrices includes:
the formula for calculating the energy loss corresponding to each vector matrix of the M vector matrices is as follows:
in sigma i K is the order corresponding to the kth order vector matrix of the M vector matrices, k=1, 2, 3, …, M.
Preferably, the obtaining the node displacement, the unit direction stress and the unit tangential stress corresponding to each base load vector of the at least one base load vector includes:
reconstructing the N1-N-order base load vectors into load data of each-order base load vector at a corresponding set loaded position;
The load data of each order of base load vector at the corresponding set loading position are mapped to nodes of a finite element analysis model respectively;
and calling simulation software to perform statics simulation calculation to obtain node displacement, unit direction stress and unit tangential stress of the finite element analysis model corresponding to the base load vector of each step.
Preferably, the obtaining at least one base load vector, and obtaining the node displacement, the unit direction stress, and the unit tangential stress corresponding to each base load vector of the at least one base load vector further includes:
setting corresponding base load vector identifiers for the base load vectors of each step respectively;
and establishing a one-to-one correspondence among the base load vector identifier corresponding to each base load vector, the per-order base load vector, the node displacement of the node in the finite element analysis model corresponding to each base load vector, the unit directional stress and the unit tangential stress through the base load vector identifier corresponding to each base load vector, and acquiring and storing the base load vector identifier corresponding to each base load vector, the per-order base load vector, the node displacement of the node in the finite element analysis model corresponding to each base load vector, the unit directional stress and the unit tangential stress in a set file format.
Preferably, the obtaining, according to the at least one base load vector and the one-dimensional line vector, a weight corresponding to each base load vector of the at least one base load vector includes:
and respectively carrying out dot multiplication on the base load vector of each step and the one-dimensional row vector to obtain the weight corresponding to the base load vector of each step.
Preferably, the calculating the structural strength result corresponding to the load data to be analyzed according to the weight, the node displacement, the unit direction stress and the unit tangential stress corresponding to each base load vector of the at least one base load vector includes:
and respectively and linearly superposing the node displacement, the unit direction stress and the unit tangential stress of the node of the finite element analysis model corresponding to each order base load vector according to the weight corresponding to each order base load vector, and calculating the total displacement, the main stress and the Mi Saisi stress corresponding to the load data to be analyzed.
A second aspect of the present application provides a lightweight structural strength analysis model comprising:
a processor; and
a memory having executable code stored thereon which, when executed by the processor, causes the processor to perform the method as described above.
A third aspect of the present application provides a computer readable storage medium having stored thereon executable code which, when executed by a processor, causes the processor to perform a method as described above.
The technical scheme that this application provided can include following beneficial effect:
according to the technical scheme, at least one base load vector is obtained, and node displacement, unit direction stress and unit tangential stress corresponding to each base load vector of the at least one base load vector are obtained; converting load data to be analyzed of the equipment into one-dimensional row vectors; according to the at least one base load vector and the one-dimensional row vector, obtaining the weight corresponding to each base load vector of the at least one base load vector; calculating a structural strength result corresponding to the load data to be analyzed according to the weight, the node displacement, the unit direction stress and the unit tangential stress corresponding to each base load vector of at least one base load vector; the method has the advantages that the lightweight modeling of the structural strength analysis can be realized based on the basic load vector, the modeling time of the lightweight structural strength analysis model is saved, the modeling difficulty of the lightweight structural strength analysis model is reduced, the strength performance of the equipment structure under different working condition loads is rapidly analyzed, the structural strength result of the equipment is obtained, and the complex material model or a large amount of test data is not relied on, so that the evaluation process of the equipment structural design is accelerated, the engineering complexity of the equipment structural strength analysis is reduced, the method is particularly suitable for application scenes needing rapid prediction of the static structural strength of the equipment, and the method is unique, simple and widely applicable; and through the basic load vector, the rapid establishment and iteration of the lightweight structural strength analysis model can be realized, and the efficiency of the structural strength analysis of the equipment is improved.
It is to be understood that both the foregoing general description and the following detailed description are exemplary and explanatory only and are not restrictive of the application.
Drawings
The foregoing and other objects, features and advantages of the application will be apparent from the following more particular descriptions of exemplary embodiments of the application as illustrated in the accompanying drawings wherein like reference numbers generally represent like parts throughout the exemplary embodiments of the application.
FIG. 1 is a flow chart of a lightweight structural strength analysis method according to an embodiment of the present application;
FIG. 2 is another flow chart of a lightweight structural strength analysis method according to an embodiment of the present application;
fig. 3 is a schematic structural diagram of a lightweight structural strength analysis model shown in an embodiment of the present application.
Detailed Description
Embodiments of the present application will be described in more detail below with reference to the accompanying drawings. While embodiments of the present application are shown in the drawings, it should be understood that the present application may be embodied in various forms and should not be limited to the embodiments set forth herein. Rather, these embodiments are provided so that this disclosure will be thorough and complete, and will fully convey the scope of the disclosure to those skilled in the art.
The terminology used in the present application is for the purpose of describing particular embodiments only and is not intended to be limiting of the present application. As used in this application and the appended claims, the singular forms "a," "an," and "the" are intended to include the plural forms as well, unless the context clearly indicates otherwise. It should also be understood that the term "and/or" as used herein refers to and encompasses any or all possible combinations of one or more of the associated listed items.
It should be understood that although the terms "first," "second," "third," etc. may be used herein to describe various information, these information should not be limited by these terms. These terms are only used to distinguish one type of information from another. For example, a first message may also be referred to as a second message, and similarly, a second message may also be referred to as a first message, without departing from the scope of the present application. Thus, a feature defining "a first" or "a second" may explicitly or implicitly include one or more such feature. In the description of the present application, the meaning of "a plurality" is two or more, unless explicitly defined otherwise.
The analysis of the structural strength of equipment (such as an airplane) refers to the analysis and calculation of the stress, deformation, stress, strain and the like of the equipment structure under different load conditions by applying a mathematical method and a computer simulation technology so as to evaluate the strength and the reliability of the equipment structure, thereby ensuring the safe operation of the equipment.
In the related art, two methods for analyzing the structural strength of equipment are adopted, one method is to construct a proxy model by using a superunit method, the superunit analyzes the stress conditions of the units respectively by decomposing the structure into small sub-structural units, and then considers the interaction between the units to obtain the strength information of the whole structure, and the method has the advantages of high complexity, large calculated amount and large calculation resource requirement, and is difficult to construct an accurate proxy model and define accurate interface conditions and easy to introduce approximate errors particularly when complex nonlinear and non-uniform structures are processed; the other is to construct the agent model by a machine learning mode, the machine learning agent model is constructed by selecting a proper machine learning model, meanwhile, a large amount of high-quality training data is relied on, the data quality has an important influence on the performance of the agent model, the finally trained agent model can only predict a specific small amount of parameters, typical working condition analysis usually needs to calculate hundreds of thousands of working conditions, and the equipment structural strength analysis method for constructing the agent model by machine learning cannot adapt to complex and various working conditions, and the whole process is very long in time consumption and low in efficiency.
In summary, in the related art, the structural strength analysis of the device needs to process a large amount of data, the calculation amount is large, and the structural strength of the device cannot be rapidly analyzed under complex and diverse working conditions.
The embodiment of the application provides a lightweight structural strength analysis method, which can realize lightweight modeling of structural strength analysis based on a basic load vector, rapidly analyze the strength performance of a device structure under different working condition loads, obtain a structural strength result of the device, and does not depend on a complex material model or a large amount of test data, thereby accelerating the evaluation process of the device structural design, reducing the engineering complexity of the device structural strength analysis, being particularly suitable for application scenes needing rapid prediction of the static structural strength of the device, and having unique simplicity and wide applicability.
The following describes the technical scheme of the embodiments of the present application in detail with reference to the accompanying drawings.
Fig. 1 is a flow chart illustrating a lightweight structural strength analysis method according to an embodiment of the present application.
Referring to fig. 1, a lightweight structural strength analysis method includes:
and step 101, converting the load data to be analyzed of the equipment into one-dimensional row vectors.
In one embodiment, load data to be analyzed of a device (e.g., an aircraft) may be obtained, where the load data to be analyzed may be load data of a mission profile of the device, a time, and all set load positions. Load data to be analyzed of the equipment can be input into a light structural strength analysis model; the light structural strength analysis model can be used for expanding the load data to be analyzed according to the set position sequence of the set loading position and converting the load data to be analyzed into one-dimensional row vectors.
Step 102, obtaining at least one base load vector, and obtaining node displacement, unit direction stress and unit tangential stress corresponding to each base load vector of the at least one base load vector.
In an embodiment, the lightweight structural strength analysis model may obtain at least one base load vector according to all working condition load data of the equipment (e.g., an aircraft), and obtain node displacement, unit direction stress and unit tangential stress corresponding to each base load vector of the at least one base load vector. When the structural strength of the equipment is analyzed through the lightweight structural strength analysis model, the lightweight structural strength analysis model can obtain at least one base load vector according to all working condition load data of the equipment (such as an airplane) in advance, and obtain node displacement, unit direction stress and unit tangential stress corresponding to each base load vector of the at least one base load vector.
And step 103, obtaining the weight corresponding to each base load vector of the at least one base load vector according to the at least one base load vector and the one-dimensional row vector.
In an embodiment, the lightweight structural strength analysis model may calculate a weight corresponding to one of the at least one base load vector according to the one base load vector and the one-dimensional row vector; and calculating the weight corresponding to each base load vector in the at least one base load vector according to each base load vector and the one-dimensional row vector in the at least one base load vector. For example, the weight QA corresponding to the base load vector a may be calculated from the base load vector a and the one-dimensional line vector.
Step 104, calculating a structural strength result corresponding to the load data to be analyzed according to the weight, the node displacement, the unit direction stress and the unit tangential stress corresponding to each base load vector of at least one base load vector, wherein the structural strength result comprises at least one of the following: total displacement, principal stress and Mi Saisi stress.
In an embodiment, the lightweight structural strength analysis model may calculate the total displacement corresponding to the load data to be analyzed according to the weight corresponding to each of the at least one base load vector and the node displacement corresponding to each of the at least one base load vector.
In an embodiment, the lightweight structural strength analysis model may calculate the principal stress and the Mi Saisi stress corresponding to the load data to be analyzed according to the weight corresponding to each of the at least one base load vector, the unit directional stress and the unit tangential stress corresponding to each of the at least one base load vector.
According to the lightweight structural strength analysis method, at least one base load vector is obtained, and node displacement, unit direction stress and unit tangential stress corresponding to each base load vector of the at least one base load vector are obtained; converting load data to be analyzed of the equipment into one-dimensional row vectors; according to the at least one base load vector and the one-dimensional row vector, obtaining the weight corresponding to each base load vector of the at least one base load vector; calculating a structural strength result corresponding to the load data to be analyzed according to the weight, the node displacement, the unit direction stress and the unit tangential stress corresponding to each base load vector of at least one base load vector; the method has the advantages that the method can realize light modeling of structural strength analysis based on a basic load vector, save modeling time of a light structural strength analysis model, reduce modeling difficulty of the light structural strength analysis model, rapidly analyze strength performance of equipment structure under different working condition loads, obtain structural strength results of equipment, and do not depend on complex material models or a large amount of test data, so that evaluation process of equipment structural design is accelerated, engineering complexity of equipment structural strength analysis is reduced, and the method is particularly suitable for application scenes needing rapid prediction of static structural strength of equipment, and has unique simplicity and wide applicability; and through the basic load vector, the rapid establishment and iteration of the lightweight structural strength analysis model can be realized, and the efficiency of the structural strength analysis of the equipment is improved.
Fig. 2 is another flow chart of a lightweight structural strength analysis method according to an embodiment of the present application.
Referring to fig. 2, a lightweight structural strength analysis method includes:
step 201, converting the load data to be analyzed of the device into a one-dimensional row vector.
In one embodiment, the load data to be analyzed of the device may be load data of one task profile, one time, all set load positions. The load data to be analyzed of the device comprise the magnitudes of forces in three axial directions of the set coordinate system XYZ for each set load position of a time of a mission profile of the device. Load data to be analyzed can be input into a lightweight structural strength analysis model; the light-weight structural strength analysis model expands the load data to be analyzed according to the set position sequence, and converts the load data to be analyzed into one-dimensional row vectors.
In one embodiment, the task profile may be an operational state of the device to perform different tasks. For example, the mission profile may be different flight missions performed by the aircraft, such as take-off missions, landing missions, etc. of the aircraft. Load refers to various direct forces exerted on the structure of the device that cause the device structure or member to effect. The load is replaced by a working condition, which includes the applied load and the imposed constraints, describing the operating or loaded state of the plant structure under certain conditions. The set loaded position may be a pneumatic point position of the device setting.
In one embodiment, the set coordinate system may be a dynamic coordinate system that is fixedly connected to and moves with equipment (e.g., an aircraft), the origin of the coordinate system being located at the nose vertex of the aircraft, the X-axis being in the plane of symmetry of the aircraft, parallel to the fuselage axis or the average aerodynamic chord of the wing, pointing rearward; the Z axis is also in the symmetry plane, perpendicular to the X axis and pointing upwards; the Y-axis is perpendicular to the plane of symmetry and points to the right.
In an embodiment, the load data of one task section and one time of all the set loading positions of the device include magnitudes of forces in three axial directions of the set coordinate system XYZ of one task section and one time of each set loading position of the device, and the magnitudes of forces in three axial directions of the set coordinate system XYZ of one task section and one time of each set loading position can be sequentially expanded into one-dimensional row vectors according to the set setting positions, so as to obtain the one-dimensional row vectors corresponding to the load data to be analyzed.
Taking the load distribution data of the first task section, the first time and o set loading positions as an example, one-dimensional row vectors corresponding to the load data to be analyzed of the first task section, the first time and the o set loading positions are as follows:
In the one-dimensional row vector, f represents the force applied to the set load position, w1 represents the first task section, t1 represents the first time, p1 represents the first set load position, X represents the X-axis of the set coordinate system, Y represents the Y-axis of the set coordinate system, Z represents the Z-axis of the set coordinate system, and po represents the o-th set load position.
Step 202, obtaining 1-to-N-order base load vectors, and obtaining node displacement, unit direction stress and unit tangential stress corresponding to each base load vector of the 1-to-N-order base load vectors.
In an embodiment, the lightweight structural strength analysis model may obtain N base load vector identifiers according to all working condition load data of equipment (e.g., an aircraft), and obtain 1 to N base load vectors corresponding to each base load vector identifier of the N base load vector identifiers, node displacement, unit direction stress, and unit tangential stress of each node of the finite element analysis model.
In an embodiment, the step of obtaining at least one base load vector and a node displacement, a cell direction stress, a cell tangential stress corresponding to each base load vector of the at least one base load vector includes:
step 2021, obtaining a load data matrix of the device according to the load data of each set loading position of each task section of the device at each time.
In an embodiment, the lightweight structural strength analysis model may obtain all operating condition load data of the device (e.g., an aircraft), where the all operating condition load data of the device includes load data of all set loaded positions of each task section of the device at each time; the load data of all working conditions of the equipment can be discretized according to the task section, time and set loading positions to obtain the load data of each task section and each time of the equipment at each set loading position; the load data of one task section and one time at each set loading position can be unfolded into a one-dimensional row matrix according to the set position sequence of the set loading position, the one-dimensional row matrix of the load data of each task section and each time at each set loading position is assembled, and a load data matrix corresponding to the load data of each task section and each time at each set loading position is obtained.
In an embodiment, the load data for each mission profile, each time at each set load position may comprise forces in three axial directions of the set coordinate system for each mission profile, each time at each set load position. The forces in the three axial directions of the set coordinate system at each set loaded position at each respective mission profile, at each respective time, may be aerodynamic forces in the three axial directions of the set coordinate system XYZ at each respective mission profile, at each set aerodynamic point position at each respective time.
In an embodiment, the load data of each task section and each time at each set loading position of the device includes the magnitudes of forces in three axial directions of a set coordinate system XYZ of each task section and each time at each set loading position of the device, and the magnitudes of forces in three axial directions of the set coordinate system XYZ of each task section and each time at each set loading position can be sequentially expanded into a one-dimensional row matrix according to the set setting positions, and the one-dimensional row matrices of all working conditions (each task section and each time) are assembled to obtain a load data matrix corresponding to the load data. The load data matrix corresponding to the load distribution data of each task section and each time at each set load position may be as follows:
in the matrix, f represents the force applied to the set load position, w1 represents the first task section, t1 represents the first time, p1 represents the first set load position, X represents the X-axis of the set coordinate system, Y represents the Y-axis of the set coordinate system, Z represents the Z-axis of the set coordinate system, wn represents the mth task section, tn represents the nth time, po represents the o-th set load position.
Step 2022, obtaining at least one base load vector according to the load data matrix of the device.
For load data of an apparatus including m task sections, n times, o set load positions, the load data matrix of the apparatus is a matrix of (mxn) ×3o in size, i.e., the load data matrix has mxn rows and 3 columns.
In an embodiment, singular value decomposition may be performed on the load data matrix to obtain a right singular vector matrix of the load data matrix; and obtaining at least one base load vector according to the right singular vector matrix. Singular value decomposition can be performed on the (m×n) ×3o load data matrix to obtain a 3o×3o right singular vector matrix of the load data matrix; N1-N order vector matrixes in the 3o multiplied by 3o right singular vector matrixes are obtained, N1-N order base load vectors are obtained according to the N1-N order vector matrixes, and the N1-N order vector matrixes are positive matrixes with the same row number and column number.
In an embodiment, singular value decomposition may be performed on a load data matrix of the device, to obtain a right singular vector matrix and a singular value matrix of the load data matrix, respectively; according to the right singular vector matrix, M vector matrixes are obtained, wherein M is equal to the number of columns of the load data matrix; according to the singular value matrix, calculating energy loss corresponding to each vector matrix of the M vector matrices; according to the energy loss corresponding to each of the M vector matrixes and the order corresponding to each of the M vector matrixes, an N-order vector matrix with the energy loss and/or the order of the vector matrixes meeting the set condition is obtained, wherein N=1, 2, 3, … and M; and carrying out vector normalization processing on the 1-N-order vector matrix to obtain N1-N-order base load vectors.
In a specific embodiment, singular value decomposition may be performed on the (mxn) ×3o load data matrix to obtain a right singular vector matrix of mxm (m=3o) and a singular value matrix of (mxn) ×3o of the load data matrix; obtaining M1-M-order vector matrixes with the same number of rows and columns in M-M right singular vector matrixes, wherein the M-1-order vector matrix is the first M-1-order vector of the M-order vector matrix; according to the singular value matrix of (M multiplied by n) multiplied by 3o, calculating the energy loss corresponding to each vector matrix of M vector matrices; the formula for calculating the energy loss corresponding to each of the M vector matrices is as follows:
in sigma i K is the order corresponding to the kth order vector matrix of the M vector matrices, k=1, 2, 3, …, M.
In a specific embodiment, the accuracy of the structural strength analysis may be defined by an energy loss, the smaller the energy loss, the greater the accuracy of the structural strength analysis. According to the energy loss corresponding to each vector matrix of the M vector matrices, an N-order vector matrix with the energy loss meeting the set condition can be obtained, wherein N=1, 2, 3, … and M; and carrying out vector normalization processing on the 1-N-order vector matrix to obtain N1-N-order base load vectors.
In a specific embodiment, it can be known from the above formula that the larger the k value, the smaller the energy loss, the larger the accuracy of the structural strength analysis, i.e. the smaller the energy loss, the larger the accuracy of the structural strength analysis, and the larger the value of N, the more the obtained base load vector. When the base load vectors of 1 to N-order base load vectors are more, the subsequent calculation amount increases dramatically, and therefore, when N1 to N-order base load vectors are acquired, it is necessary to comprehensively consider the energy loss of the vector matrix and the order of the vector matrix. According to the energy loss and the order corresponding to each vector matrix of the M vector matrices, an N-order vector matrix with the energy loss and the order meeting the set conditions can be obtained; and carrying out vector normalization processing on the 1-N-order vector matrix to obtain N1-N-order base load vectors.
Step 2023 sets corresponding base load vector identifiers for each order of at least one base load vector.
In an embodiment, setting a base load vector identifier corresponding to each base load vector of 1-N base load vectors, and establishing a one-to-one correspondence between each base load vector of 1-N base load vectors and the base load vector identifier corresponding to each base load vector and storing the base load vector identifier; a unique base load vector identifier can be set for each of 1-to-N-order base load vectors, a one-to-one correspondence is established between each of the base load vectors and the unique base load vector identifier, and each of the base load vectors and the unique base load vector identifier are stored.
Step 2024, obtaining the node displacement, the unit direction stress and the unit tangential stress corresponding to each base load vector of at least one base load vector.
In an embodiment, N1 to N base load vectors may be reconstructed as load data of each base load vector at a corresponding set load position, respectively; load data of each order of base load vector at a corresponding set loading position are mapped to nodes of the finite element analysis model respectively; and calling simulation software to perform statics simulation calculation to obtain node displacement, unit direction stress and unit tangential stress of the nodes of the finite element analysis model corresponding to each order of base load vector.
In an embodiment, a refined structural strength finite element analysis model of the device may be constructed by geometric cleaning, meshing, connection definition, and the like; reconstructing each order of base load vectors of 1 to N orders of base load vectors into a force form in the set loading position in three axial directions of a set coordinate system XYZ, and mapping corresponding forces to nodes corresponding to the finite element analysis model; simulation software can be called, statics simulation calculation is carried out according to the forces of the load vectors of each order base mapped to the nodes corresponding to the finite element analysis model, analysis and extraction are carried out on calculation results, and node displacement, unit direction stress and unit tangential stress of each node of the finite element analysis model nodes corresponding to the load vectors of each order base of 1-N-order base load vectors are respectively obtained.
In an embodiment, the node displacement of each node of the finite element analysis model corresponding to each order of the base load vector includes node displacement of each node of the finite element analysis model corresponding to each order of the base load vector in three axial directions of a set coordinate system XYZ.
In an embodiment, the unit direction stress at each node of the finite element analysis model corresponding to each order of the base load vector includes unit direction stress at each node of the finite element analysis model corresponding to each order of the base load vector in three axial directions of the set coordinate system XYZ.
In an embodiment, the unit tangential stress at each node of the finite element analysis model corresponding to each order of the base load vector includes unit tangential stress at each node of the finite element analysis model corresponding to each order of the base load vector in three axial directions of the set coordinate system XYZ.
Step 2025, establishing a one-to-one correspondence between the node displacement, the unit direction stress and the unit tangential stress corresponding to each base load vector of the at least one base load vector and the base load vector identifier corresponding to each base load vector of the at least one base load vector, and storing the node displacement, the unit direction stress and the unit tangential stress.
In an embodiment, a one-to-one correspondence relationship can be established among the base load vector identifier corresponding to each base load vector, the per base load vector, the node displacement, the unit direction stress and the unit tangential stress of the node in the finite element analysis model corresponding to each base load vector, the base load vector identifier corresponding to each base load vector, the node displacement, the unit direction stress and the unit tangential stress of the node in the finite element analysis model corresponding to each base load vector, and the node displacement, the unit direction stress and the unit tangential stress of the node in the finite element analysis model corresponding to each base load vector and each base load vector can be obtained and stored in a set file format.
In an embodiment, a one-to-one correspondence relationship can be established between each order base load vector and node displacement, unit direction stress and unit tangential stress of each node of the finite element analysis model corresponding to each order base load vector through each order base load vector identification; and storing the base load vector identifiers-1 to N-order base load vector each-order base load vector with a one-to-one correspondence in a format file of a set file format, wherein the node displacement, the unit direction stress and the unit tangential stress of each node of the finite element analysis model are generated by the base load vector of each-order base load vector of 1 to N-order base load vector.
And 203, respectively carrying out point multiplication on each order of base load vectors of the 1-N orders of base load vectors and the one-dimensional row vector to obtain the weight corresponding to each order of base load vectors.
In an embodiment, the lightweight structural strength analysis model may obtain a base load vector corresponding to a base load vector identifier according to the base load vector identifier; and carrying out point multiplication on the base load vector and the one-dimensional row vector to obtain the weight corresponding to the base load vector. According to the N base load vector identifications, 1-N base load vectors corresponding to each base load vector identification can be respectively obtained; and respectively carrying out point multiplication on each order of base load vectors of the 1-N orders of base load vectors and the one-dimensional row vector to obtain the weight corresponding to each order of base load vectors.
And 204, linearly superposing the node displacement, the unit direction stress and the unit tangential stress of the node of the finite element analysis model corresponding to each order base load vector according to the weight corresponding to each order base load vector, and calculating the total displacement, the main stress and the Mi Saisi stress corresponding to the load data to be analyzed.
In an embodiment, node displacements of all nodes of the finite element analysis model corresponding to each order base load vector in three axial directions of a set coordinate system XYZ can be linearly superimposed according to weights corresponding to each order base load vector of 1 to N orders base load vectors respectively, so as to obtain base displacements of all set loaded positions of the equipment corresponding to load data to be analyzed in the three axial directions of the set coordinate system XYZ; the vector superposition can be performed according to the basic displacement of all the set loaded positions of the equipment corresponding to the load data to be analyzed in the three axial directions of the set coordinate system XYZ, and the total displacement of the equipment corresponding to the load data to be analyzed is calculated.
In an embodiment, unit-direction stresses of all nodes of the finite element analysis model in three axial directions of a set coordinate system XYZ corresponding to each order base load vector can be linearly superimposed according to weights corresponding to each order base load vector of 1 to N order base load vectors respectively, so that basic stresses of all set loaded positions of equipment corresponding to load data to be analyzed in the three axial directions of the set coordinate system XYZ are obtained; the unit tangential stresses of all nodes of the finite element analysis model in the three axial directions of the set coordinate system XYZ corresponding to the base load vectors of each order can be linearly overlapped according to the weights corresponding to the base load vectors of each order of 1 to N, respectively, so that the basic tangential stresses of all the set loaded positions of the equipment corresponding to the load data to be analyzed in the three axial directions of the set coordinate system XYZ are obtained; the principal stress and the mis stress (Mi Saisi stress) corresponding to the load data to be analyzed can be calculated according to a stress calculation algorithm according to the principal stress and the principal tangential stress of all the set loaded positions of the device corresponding to the load data to be analyzed in the three axial directions of the set coordinate system XYZ.
For example, the base load vector identifications that can be acquired by the lightweight structural strength analysis model are a first base load vector identification ID1, a second base load vector identification ID2, and a third base load vector identification ID3. The first base load vector identifier ID1 corresponds to a first base load vector A1, the second base load vector identifier ID2 corresponds to a second base load vector A2, and the third base load vector identifier ID3 corresponds to a third base load vector A3. The method comprises the steps of node displacement S1 of each node of a finite element analysis model corresponding to a first base load vector identifier ID1, node displacement S2 of each node of the finite element analysis model corresponding to a second base load vector identifier ID2, and node displacement S3 of each node of the finite element analysis model corresponding to a third base load vector identifier ID3. Performing point multiplication on the first-order base load vector A1 and a one-dimensional row vector of load data to be analyzed to obtain a weight QA1 corresponding to the first-order base load vector A1; performing point multiplication on the second-order basic load vector A2 and a one-dimensional row vector of load data to be analyzed to obtain a weight QA2 corresponding to the second-order basic load vector A2; and carrying out dot multiplication on the third-order base load vector A3 and the one-dimensional row vector of the load data to be analyzed to obtain a weight QA3 corresponding to the third-order base load vector A3. The node displacements S1, S2 and S3 corresponding to the base load vectors of the first to third base load vectors can be linearly superimposed according to the weights QA1, QA2 and QA3 corresponding to the base load vectors of the first to third base load vectors, and the displacements s=qa1×s1+qa2×s2+qa3×s3 obtained by the linear superimposing; the total displacement of the device corresponding to the load data to be analyzed may be calculated from the displacements obtained by linear superposition.
Corresponding to the embodiment of the application function implementation method, the application further provides a light-weight structural strength analysis model and a corresponding embodiment.
Fig. 3 is a schematic structural diagram of a lightweight structural strength analysis model shown in an embodiment of the present application.
Referring to fig. 3, the lightweight structural strength analysis model 1000 includes a memory 1010 and a processor 1020.
The processor 1020 may be a central processing unit (Central Processing Unit, CPU), but may also be other general purpose processors, digital signal processors (Digital Signal Processor, DSP), application specific integrated circuits (Application Specific Integrated Circuit, ASIC), field programmable gate arrays (Field-Programmable Gate Array, FPGA) or other programmable logic devices, discrete gate or transistor logic devices, discrete hardware components, or the like. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like.
Memory 1010 may include various types of storage units, such as system memory, read Only Memory (ROM), and persistent storage. Where the ROM may store static data or instructions that are required by the processor 1020 or other modules of the computer. The persistent storage may be a readable and writable storage. The persistent storage may be a non-volatile memory device that does not lose stored instructions and data even after the computer is powered down. In some embodiments, the persistent storage device employs a mass storage device (e.g., magnetic or optical disk, flash memory) as the persistent storage device. In other embodiments, the persistent storage may be a removable storage device (e.g., diskette, optical drive). The system memory may be a read-write memory device or a volatile read-write memory device, such as dynamic random access memory. The system memory may store instructions and data that are required by some or all of the processors at runtime. Furthermore, memory 1010 may comprise any combination of computer-readable storage media including various types of semiconductor memory chips (e.g., DRAM, SRAM, SDRAM, flash memory, programmable read-only memory), magnetic disks, and/or optical disks may also be employed. In some implementations, memory 1010 may include readable and/or writable removable storage devices such as Compact Discs (CDs), digital versatile discs (e.g., DVD-ROMs, dual-layer DVD-ROMs), blu-ray discs read only, super-density discs, flash memory cards (e.g., SD cards, min SD cards, micro-SD cards, etc.), magnetic floppy disks, and the like. The computer readable storage medium does not contain a carrier wave or an instantaneous electronic signal transmitted by wireless or wired transmission.
The memory 1010 has stored thereon executable code that, when processed by the processor 1020, can cause the processor 1020 to perform some or all of the methods described above.
Furthermore, the method according to the present application may also be implemented as a computer program or computer program product comprising computer program code instructions for performing part or all of the steps of the above-described method of the present application.
Alternatively, the present application may also be embodied as a computer-readable storage medium (or non-transitory machine-readable storage medium or machine-readable storage medium) having stored thereon executable code (or a computer program or computer instruction code) which, when executed by a processor of a lightweight structural strength analysis model (or a server, or an electronic device, etc.), causes the processor to perform part or all of the steps of the above-described methods according to the present application.
The embodiments of the present application have been described above, the foregoing description is exemplary, not exhaustive, and not limited to the embodiments disclosed. Many modifications and variations will be apparent to those of ordinary skill in the art without departing from the scope and spirit of the various embodiments described. The terminology used herein was chosen in order to best explain the principles of the embodiments, the practical application, or the improvement of technology in the marketplace, or to enable others of ordinary skill in the art to understand the embodiments disclosed herein.

Claims (10)

1. A method for analyzing the strength of a lightweight structure, comprising:
converting load data to be analyzed of the equipment into one-dimensional row vectors;
acquiring at least one base load vector, and acquiring node displacement, unit direction stress and unit tangential stress corresponding to each base load vector of the at least one base load vector;
according to the at least one base load vector and the one-dimensional row vector, obtaining the weight corresponding to each base load vector of the at least one base load vector;
calculating a structural strength result corresponding to the load data to be analyzed according to the weight, the node displacement, the unit direction stress and the unit tangential stress corresponding to each basic load vector of the at least one basic load vector, wherein the structural strength result comprises at least one of the following: total displacement, principal stress and Mi Saisi stress.
2. The method of claim 1, wherein the obtaining at least one base load vector comprises:
acquiring a load data matrix of the equipment according to the load data of each set loading position of each task section of the equipment at each time;
performing singular value decomposition on the load data matrix to obtain a right singular vector matrix of the load data matrix;
And acquiring and storing the at least one base load vector according to the right singular vector matrix.
3. The method of claim 2, wherein the step of determining the position of the substrate comprises,
performing singular value decomposition on the load data matrix to obtain a right singular vector matrix of the load data matrix, and further comprising: acquiring a singular value matrix of the load data matrix;
the obtaining and storing the at least one base load vector according to the right singular vector matrix includes:
according to the right singular vector matrix, M vector matrixes are obtained, wherein M is equal to the column number of the load data matrix;
according to the singular value matrix, calculating energy loss corresponding to each vector matrix of the M vector matrices;
according to the energy loss corresponding to each vector matrix of the M vector matrices and the order corresponding to each vector matrix of the M vector matrices, an N-order vector matrix is obtained, wherein the energy loss of the vector matrix and/or the order of the vector matrix meets the set condition, and N=1, 2, 3, … and M;
and carrying out vector normalization processing on the 1-N-order vector matrix to obtain N1-N-order base load vectors.
4. A method according to claim 3, wherein said calculating the energy loss corresponding to each of said M vector matrices from said singular value matrices comprises:
The formula for calculating the energy loss corresponding to each vector matrix of the M vector matrices is as follows:
in sigma i K is the order corresponding to the kth order vector matrix of the M vector matrices, k=1, 2, 3, …, M.
5. A method according to claim 3, wherein said obtaining the node displacement, cell direction stress, cell tangential stress, for each of said at least one base load vector, comprises:
reconstructing the N1-N-order base load vectors into load data of each-order base load vector at a corresponding set loaded position;
the load data of each order of base load vector at the corresponding set loading position are mapped to nodes of a finite element analysis model respectively;
and calling simulation software to perform statics simulation calculation to obtain node displacement, unit direction stress and unit tangential stress of the finite element analysis model corresponding to the base load vector of each step.
6. The method of claim 5, wherein the obtaining at least one base load vector and obtaining the node displacement, cell direction stress, cell tangential stress for each base load vector of the at least one base load vector further comprises:
Setting corresponding base load vector identifiers for the base load vectors of each step respectively;
and establishing a one-to-one correspondence among the base load vector identifier corresponding to each base load vector, the per-order base load vector, the node displacement of the node in the finite element analysis model corresponding to each base load vector, the unit directional stress and the unit tangential stress through the base load vector identifier corresponding to each base load vector, and acquiring and storing the base load vector identifier corresponding to each base load vector, the per-order base load vector, the node displacement of the node in the finite element analysis model corresponding to each base load vector, the unit directional stress and the unit tangential stress in a set file format.
7. The method according to claim 5, wherein obtaining the weight corresponding to each base load vector of the at least one base load vector according to the at least one base load vector and the one-dimensional row vector comprises:
and respectively carrying out dot multiplication on the base load vector of each step and the one-dimensional row vector to obtain the weight corresponding to the base load vector of each step.
8. The method of claim 7, wherein calculating structural strength results corresponding to the load data to be analyzed based on weights, node displacements, cell direction stresses, cell tangential stresses corresponding to each of the at least one base load vector comprises:
And respectively and linearly superposing the node displacement, the unit direction stress and the unit tangential stress of the node of the finite element analysis model corresponding to each order base load vector according to the weight corresponding to each order base load vector, and calculating the total displacement, the main stress and the Mi Saisi stress corresponding to the load data to be analyzed.
9. A lightweight structural strength analysis model, comprising:
a processor; and
a memory having executable code stored thereon, which when executed by the processor, causes the processor to perform the method of any of claims 1-8.
10. A computer-readable storage medium, characterized by: having stored thereon executable code which, when executed by a processor, causes the processor to perform the method of any of claims 1-8.
CN202311495920.0A 2023-11-10 2023-11-10 Light structural strength analysis method and light structural strength analysis model Pending CN117473674A (en)

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