Application of the adomian modified decomposition method to free vibration analysis of thin plates with elastic supports

Name: Nuttawit Wattanasakulpong

Organization : Mahanakorn University of Technology.Department of Mechanical Engineering

Name: Wachirawit Songsuwan

Organization : Mahanakorn University of Technology.Department of Mechanical Engineering

keyword: The Adomian modified decomposition method

; Natural frequencies

; Mode shapes

; Vibration of plates

Abstract: The purpose of this study is to introduce an innovative method, the Adomian modified decomposition method, to solve the vibration problem of thin elastic plates. By applying the present method to vibration problem of thin plates, the fundamental and higher frequencies as well as their mode shapes can be obtained easily for common and complicated boundary conditions, including elastic supports. Other benefits of using this method can be realized in terms of rapid convergence, small computational expensiveness and stability in calculation. The significant effects such as effects of boundary conditions, aspect ratios and translational and rotational spring constants, which lead to considerable changes in frequency results and mode shapes, are investigated and discussed.

Mahanakorn University of Technology. Library

Address: BANGKOK

Email: mutelibrary@gmail.com

Created: 2020

Modified: 2021-03-19

Issued: 2021-03-19

บทความ/Article

application/pdf

BibliograpyCitation : Engineering Transactions Vol. 23, no.2 (Jul.-Dec. 2020), p. 108-111

eng

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