Improved truncation singular value method for overcoming correction ill-condition of structural model

A technology for truncating singular values ​​and structural models, applied in special data processing applications, instruments, electrical digital data processing, etc., to achieve simple and efficient calculations and overcome ill-conditioned effects

Inactive Publication Date: 2019-09-20
SHAOXING UNIVERSITY
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Problems solved by technology

[0010] The purpose of the present invention is to provide an improved truncated singular value method for overcoming the ill-conditionedness of structural model correction, which is suitable for solving

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  • Improved truncation singular value method for overcoming correction ill-condition of structural model
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  • Improved truncation singular value method for overcoming correction ill-condition of structural model

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Embodiment

[0034] Example: Cantilever truss structure.

[0035] for figure 1 Shown cantilever truss structure, adopt the step that the present invention carries out model correction as follows: (1) at first, utilize general-purpose finite element software to carry out finite element modeling to structure, obtain the initial finite element model of structure; Simultaneously, carry out static to structure Force test to obtain its static response parameters, that is, the displacement of each node; (2) according to the initial finite element model established in step 1 and the response parameters obtained from the test, obtain the basic equation of structural model correction A x = b; (3 ) Singular value decomposition is performed on the coefficient matrix A in the basic equation of the model correction obtained in step 2, and its p non-zero singular values ​​σ are obtained i , the left singular vector u i and the right singular vector v i (i=1~p); (4) Use the truncated singular value fo...

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Abstract

The invention relates to the field of structural model correction, and specifically to an improved truncation singular value method for overcoming the correction ill-condition of a structural model. Finite element modeling is carried out on the structure through finite element software; a static test or a dynamic test is carried out on the structure; a static response parameter or a dynamic response parameter is obtained; a structure model correction basic equation is obtained; singular value decomposition is performed on a corrected basic equation coefficient matrix, correction parameter vectors, when only previous t singular values are taken, and corresponding residual vectors are calculated through a truncation singular value formula, corresponding scatter diagrams are drawn, all points are connected through straight line segments to obtain a broken line diagram, and a final model correction parameter solution can be obtained through the formula calculation. After the scheme is adopted, the method is suitable for solving the problem of finite element model correction of a large-scale structure, so that a stable and accurate model correction parameter solution can be obtained under the condition that data has errors.

Description

technical field [0001] The invention relates to the field of structural model correction, in particular to an improved truncated singular value method for overcoming ill-conditioned structural model correction. Background technique [0002] An accurate structural finite element model is the basis for structural mechanics analysis, response prediction, vibration control, damage identification, etc. Usually, the structural model established by the finite element software often has a large error with the real structure, which is reflected in the response parameters (such as static displacement, vibration frequency or mode shape) calculated by the structural finite element model and the actual structure of the real structure. The measured response parameters vary greatly. In this case, the structural model must be corrected to make the calculated response parameters as close as possible to the measured response parameters. The corrected finite element model can be used for struc...

Claims

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Application Information

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IPC IPC(8): G06F17/50
CPCG06F30/13G06F30/23G06F2119/06
Inventor 杨秋伟王超俊李娜吕绍伟王伟
Owner SHAOXING UNIVERSITY
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