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Title:
THIN PLATE VIBRATION DISPLACEMENT CALCULATION METHOD AND APPARATUS
Document Type and Number:
WIPO Patent Application WO/2024/078247
Kind Code:
A1
Abstract:
A thin plate vibration displacement calculation method, comprising: calculating a source-point intensity factor of each vibration detection device at the current moment in combination with an arrangement mode of each vibration detection device on a thin plate to be subjected to measurement (S11); establishing, according to an interpolation formula, a linear interpolation matrix of a singular boundary method with respect to an unknown vector at the current moment, and solving the linear interpolation matrix in combination with the source-point intensity factor, so as to determine the unknown vector at the current moment, wherein the interpolation formula is established in combination with a time-dependent fundamental solution, which is a time-dependent fundamental solution of a fluctuation equation after integration in a time direction (S12); and calculating a vibration displacement of any position of said thin plate at the current moment in combination with an unknown vector at each moment within a preset time period and a time-dependent fundamental solution of each vibration detection device at each moment (S13). By means of introducing a source-point intensity factor technique and performing integration on a time-dependent fundamental solution in a time direction, the efficiency of calculation and analysis for a vibration displacement of a thin plate is greatly improved. Further provided is a thin plate vibration displacement calculation apparatus.

Inventors:
LIU XIAOTING (CN)
LI JUNPU (CN)
DAI HUICHAO (CN)
LIU ZHIWU (CN)
JIANG DINGGUO (CN)
ZHAO HANQING (CN)
ZHAI YANWEI (CN)
YIN ZHAOKAI (CN)
ZHANG CHENGXIAO (CN)
Application Number:
PCT/CN2023/118544
Publication Date:
April 18, 2024
Filing Date:
September 13, 2023
Export Citation:
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Assignee:
CHINA THREE GORGES CORP (CN)
International Classes:
G01M7/02; G06F17/16
Foreign References:
CN115683510A2023-02-03
CN106168942A2016-11-30
CN105760345A2016-07-13
CN104764518A2015-07-08
JP2012032214A2012-02-16
US6876956B12005-04-05
Other References:
CHEN, WEN ET AL.: "Singular Boundary Method based on Time-dependent Fundamental Solution for 2D Scalar Wave Equation", CHINESE JOURNAL OF COMPUTATIONAL MECHANICS, vol. 34, no. 2, 30 April 2017 (2017-04-30), pages 231 - 237, ISSN: 1007-4708
CHEN, WEN: "Singular Boundary Method; a Novel,Simple, Meshfree, Boundary Collocation Numerical Method", CHINESE JOURNAL OF SOLID MECHANICS, vol. 30, no. 6, 31 December 2009 (2009-12-31), pages 592 - 599, ISSN: 0254-7805
GU, YAN ET AL.: "Singular Boundary Method for Two Dimensional Elasticity Problems", CHINESE JOURNAL OF SOLID MECHANICS, vol. 35, no. 3, 30 June 2014 (2014-06-30), pages 217 - 223, ISSN: 0254-7805
Attorney, Agent or Firm:
YICHANG THREE GORGES PATENT (CN)
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