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)
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:
Assignee:
CHINA THREE GORGES CORP (CN)
International Classes:
G01M7/02; G06F17/16
Foreign References:
CN115683510A | 2023-02-03 | |||
CN106168942A | 2016-11-30 | |||
CN105760345A | 2016-07-13 | |||
CN104764518A | 2015-07-08 | |||
JP2012032214A | 2012-02-16 | |||
US6876956B1 | 2005-04-05 |
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
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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