Free vibration characteristics of functionally graded porous spherical shell with general boundary conditions by using first-order shear deformation theory

By Haichao Li, Fuzhen Pang, Yi Ren, X. Miao, Kaifu Ye. Thin-walled structures, 2019

77 citations recorded by the source corpus.

Abstract The paper analyzed the free vibration of functionally graded porous spherical shell (FGPSS) based on Ritz method. The energy method and first-order shear deformation theory (FSDT) are adopted to derive the formulas. In this paper, the displacement functions are improved on basis of domain decomposition method, in which the unified Jacobi polynomials are introduced to represent the displacement functions component along meridional direction, and the displacement functions component along circumferential direction is still Fourier series. In addition, the spring stiffness method is formed a unified format to deal with various complex boundary conditions and continuity conditions. Then the final solutions can be obtained based on Ritz method. To prove the validity of proposed method, the results of the same condition are compared with those obtained by FEM, published literatures and experiment. The results show that the proposed method has advantages of fast convergence, high calculation efficiency, high solution accuracy and simple boundary simulation.

Subfields: Materials Chemistry, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/4c78839414ec09feb3be17e2e299e4d7f2b791ff

Citations in the corpus

• Parametric study of three-dimensional bending and frequency of FG-GPLRC porous circular and annular plates on different boundary conditions (2019, unknown): “FG materials are a new group of materials, which have many advantages and superior properties, including high temperature resistance and high strength (Yuda and Xiaoguang 2011; Demirhan and Kanber 2013; Larbi et al. 2013; Sofiyev et al. 2016; Tufekci, Eroglu, and Aya 2016; Li 2017; Wang, Liang, and ”