TY - JOUR
T1 - Identification of elastic edge parameters of plates using the method of fundamental solutions
AU - Samandizade, Ehsan
AU - Hematiyan, Mohammad Rahim
AU - Shiah, Yui Chuin
N1 - Publisher Copyright:
© 2024 Elsevier Ltd
PY - 2025/2
Y1 - 2025/2
N2 - 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.
AB - 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.
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U2 - 10.1016/j.enganabound.2024.106093
DO - 10.1016/j.enganabound.2024.106093
M3 - Article
AN - SCOPUS:85213220258
SN - 0955-7997
VL - 171
JO - Engineering Analysis with Boundary Elements
JF - Engineering Analysis with Boundary Elements
M1 - 106093
ER -