DYNAMIC CHARACTERISTICS IN INCOMPRESSIBLE HYPERELASTIC CYLINDRICAL MEMBRANES |
| |
Authors: | Datian Niu Xuegang Yuan Changjun Cheng Jiusheng Ren |
| |
Affiliation: | [1]School of Science, Dalian Nationalities University, Dalian 116600, China [2]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China |
| |
Abstract: | In this paper, the dynamic characteristics are examined for a cylindrical membrane composed of a transversely isotropic incompressible hyperelastic material under an applied uniform radial constant pressure at its inner surface. A second-order nonlinear ordinary differential equation that approximately describes the radial oscillation of the inner surface of the membrane with respect to time is obtained. Some interesting conclusions are proposed for different materials, such as the neo-Hookean material, the Mooney-Rivlin material and the Rivlin-Saunders material. Firstly, the bifurcation conditions depending on the material parameters and the pressure loads are determined. Secondly, the conditions of periodic motion are presented in detail for membranes composed of different materials. Meanwhile, numerical simulations are also provided. |
| |
Keywords: | incompressible hyperelastic material cylindrical membrane dynamical character- istic nonlinear periodic oscillation |
本文献已被 CNKI 维普 万方数据 ScienceDirect 等数据库收录! |
|