Open AccessThe Natural Characteristics and Forced Response of O-shaped Plate Under Isotropic and Orthotropic Materials
Author(s) -
Dongyan Shi,
Wenhui Ren,
Z.H.A.N.G. Lan,
Yongxin Li
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/649/1/012011
Subject(s) - orthotropic material , isotropy , discontinuity (linguistics) , fourier series , boundary value problem , plate theory , action (physics) , materials science , mathematical analysis , structural engineering , mathematics , physics , engineering , finite element method , optics , quantum mechanics
In this paper, the O-shaped plate with different materials are used to analyze their natural frequencies at different boundaries and different plate thicknesses and the forced response under the action of point forces. By the improved Fourier series method, the discontinuity of coupling system at all boundaries in the overall solution domain is overcame. Through the energy principle and the Rayleigh-Ritz technology, the matrix equation of the system governing equations can be obtained. In addition, based on various materials, boundary conditions and thicknesses, some new results have been demonstrated, which may become the foundation for the future research.