Controllability conditions of nonlinearly periodic oscillations of incompressible hyper-elastic spherical shells
A dynamical expansion problem is examined for a spherical shell composed of a homogeneous isotropic incompressible modified Varga material, where the inner surface of the shell is subjected to a class of suddenly applied periodic step radial pressures. Under a constant pressure, the existence conditions of the periodic solutions of the differential equation that describes the motion of the shell are proposed, correspondingly, it is proved that the motion of the shell would present a nonlinearly periodic oscillation as the given pressure does not exceed a certain critical value and that the shell will be destroyed ultimately with the infinitely increasing time as the pressure exceeds the critical value. Under the periodic step pressures depending on time, all the controllability conditions for nonlinearly periodic oscillations of the spherical shell are presented, and numerical simulations are also given.
Xue-gang Yuan Zheng-you Zhu Chang-jun Cheng
School of Science, Dalian Nationalities University, Dalian 116600, Liaoning Province, China Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University,Shanghai 200072, China
国际会议
The 5th International Conference on Nonlinear Mechanics(第五届国际非线性力学会议)
上海
英文
324-329
2007-06-11（万方平台首次上网日期，不代表论文的发表时间）