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Strain field reconstruction method and system based on Bayesian finite element model correction

A model correction and finite element technology, applied in the field of strain field reconstruction based on Bayesian finite element model correction, can solve the problems of modeling parameter uncertainty, processing errors, and the inability to fully reflect the real response of the structure, and achieve strain relief. Accurate monitoring results, broad application prospects, and the effect of reducing errors

Pending Publication Date: 2022-06-03
SHANDONG UNIV
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  • Claims
  • Application Information

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Problems solved by technology

[0004] Establishing a finite element model method is one of the best methods for structural design and analysis at present, and can effectively calculate the comprehensive information of the structure. Usually, there is a big difference between the initial finite element model and the actual structure, which cannot fully reflect the real response of the structure, and it is easy to cause errors in the subsequent series of processing.

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  • Strain field reconstruction method and system based on Bayesian finite element model correction
  • Strain field reconstruction method and system based on Bayesian finite element model correction
  • Strain field reconstruction method and system based on Bayesian finite element model correction

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Embodiment 1

[0055] In one or more embodiments, a strain field reconstruction method based on Bayesian finite element model correction is disclosed, which combinesfigure 1 , including the following steps:

[0056] (1) Carry out modal test on the beam structure to obtain modal data;

[0057] In this embodiment, multiple modal tests are performed on the beam structure, and the modal data of the first three orders are obtained each time. The modal data includes modal frequency data and modal mode shape data.

[0058] (2) Based on the modal data, use the Bayesian formula to construct the posterior probability density function of the finite element model of the beam structure;

[0059] Specifically, the Bayesian formula

[0060]

[0061] P(A|B) is the posterior probability of event A, P(B|A) is called the likelihood function or conditional probability, P(A) is the prior probability of event A, and P(B) is the edge of event B Probability, it can be seen that the independent variable of P(A...

Embodiment 2

[0120] In one or more embodiments, a strain field reconstruction system based on Bayesian finite element model correction is disclosed, including:

[0121] The modal experiment module is used to conduct modal tests on the beam structure and obtain modal data;

[0122] The finite element model correction module is used to construct the posterior probability density function of the finite element model of the beam structure based on the modal data and the Bayesian formula; select the parameters to be corrected for the finite element model, and use the MH-MCMC sampling method to form a The Kov chain, using the modal data, calculates and obtains the revised finite element model, which is used for the subsequent finite element simulation;

[0123] The strain field reconstruction module is used to arrange the fiber Bragg grating sensor on the beam structure to obtain the column vector of the strain response. At the same time, the modified finite element model is used to establish th...

Embodiment 3

[0126] In one or more embodiments, a terminal device is disclosed, including a server, the server including a memory, a processor, and a computer program stored on the memory and executable on the processor, the processor executing the In the program, the strain field reconstruction method based on Bayesian finite element model correction in the first embodiment is implemented. For brevity, details are not repeated here.

[0127] It should be understood that, in this embodiment, the processor may be a central processing unit (CPU), and the processor may also be other general-purpose processors, digital signal processors, DSPs, application-specific integrated circuits (ASICs), off-the-shelf programmable gate arrays (FPGAs), or other programmable logic devices. , discrete gate or transistor logic devices, discrete hardware components, etc. A general purpose processor may be a microprocessor or the processor may be any conventional processor or the like.

[0128] The memory may...

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Abstract

The invention discloses a strain field reconstruction method based on Bayesian finite element model correction, and the method comprises the steps: carrying out the modal test of a crossbeam structure, and obtaining the modal data; constructing a posterior probability density function of the beam structure finite element model by using a Bayesian formula; to-be-corrected parameters of the finite element model are selected, and a corrected finite element model is obtained through calculation; performing fiber bragg grating sensor arrangement on the cross beam structure to obtain a strain response column vector, and establishing a finite point strain matrix and a full-field strain response matrix by using the corrected finite element model; the strain response column vector and the finite point strain matrix obtained through simulation are used for solving modal coordinates; and multiplying the modal coordinates by the full-field strain response matrix to obtain a full-field strain value under a static load working condition, and realizing strain field reconstruction. According to the method, uncertain finite element model correction and a strain field reconstruction method based on a modal superposition method are combined, and the strain monitoring result of the cross beam structure is more accurate.

Description

technical field [0001] The invention relates to the technical field of strain field reconstruction of beam structures, in particular to a strain field reconstruction method and system based on Bayesian finite element model correction. Background technique [0002] The statements in this section merely provide background information related to the present invention and do not necessarily constitute prior art. [0003] As an important part of the high-speed train that carries the weight of the car body, the beam is bound to be subjected to different mechanical effects for a long time during the running process of the train, such as: lateral and vertical loads and vibration shocks, etc., which makes the beam structure seriously Deformation and even cracks seriously endanger the safety and reliability of trains. The strain state of the beam structure can reflect the structural state at this time, and can also monitor the fatigue and cracks of the structure. Therefore, it is of...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/15G06F30/17G06F30/23G06F17/18G06F119/14
CPCG06F30/15G06F30/17G06F30/23G06F17/18G06F2119/14Y02T90/00
Inventor 张雷王淑贤程洋洋陈大伟姜明顺鞠增业王光君贾磊
Owner SHANDONG UNIV
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