Identification of elastic edge parameters of plates using the method of fundamental solutions

Ehsan Samandizade, Mohammad Rahim Hematiyan, Yui Chuin Shiah

研究成果: Article同行評審

摘要

Free, fixed (clamped), and simply supported boundary conditions are standard edge boundary conditions that are normally considered in the modeling and analysis of plates. In many cases, the edge support of the plate is elastic, which cannot be modeled using the standard edge boundary conditions. To model the elastic edge of a plate, some parameters need to be determined. The aim of this study is to determine the elastic edge parameters of Reissner thick plates using inverse analysis. For the direct problem of a plate with an elastic edge, the method of fundamental solutions (MFS) formulated with the first-order shear deformation theory is used. An inverse method for determining the elastic edge parameters using measured displacements is presented. A gradient-based method is used for the optimization process in the inverse analysis. For the sensitivity analysis of elastic parameters, an analytical method based on the differentiation of governing equations is proposed. Two numerical examples for identifying elastic edge parameters in plates are presented and the effects of important parameters on the results are also investigated. Based on the results obtained, it is found that the proposed inverse method is very effective in identifying the elastic edge parameters.

原文English
文章編號106093
期刊Engineering Analysis with Boundary Elements
171
DOIs
出版狀態Published - 2025 2月

All Science Journal Classification (ASJC) codes

  • 分析
  • 一般工程
  • 計算數學
  • 應用數學

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