FE-holomorphic operator function method for nonlinear plate vibrations with elastically added masses
Pang, Xiangying 1Sun, Jiguang 2Zhang, Zhimin1
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作者信息
1. Beijing Computat Sci Res Ctr
2. Michigan Technol Univ
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Abstract
Vibrations of structures subjected to concentrated point loads have many applications in mechanical engineering. Experiments are expensive and numerical methods are often used for simulations. In this paper, we consider the plate vibration with nonlinear dependence on the eigen-parameter. The problem is formulated as the eigenvalue problem of a holomorphic Fredholm operator function. The Bogner-Fox-Schmit element is used for discretization and the spectral indicator method is employed to compute the eigenvalues. The convergence is proved using the abstract approximation theory of Karma (1996a; 1996b). Numerical examples are presented for validations. (c) 2022 Elsevier B.V. All rights reserved.
NSTL
Elsevier