Development of a novel polygonal Fourier spectral plate element for vibration analysis of arbitrary-shaped plates with stiffeners and holes

Jian Jiang, Hao Zhang, Quanmin Liu, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Chinese Academy of Sciences, University of Chinese Academy of Sciences, East China Jiaotong University

Journal of Vibration and Control

Published online on May 22, 2025

Abstract

Journal of Vibration and Control, Ahead of Print.
A novel polygonal Fourier spectral plate element was developed using the Rayleigh–Ritz method in this paper. Better than plate elements of traditional spectral element method (SEM), it can be any polygon shape with embed stiffeners and holes. Several case ...