在动静载荷作用下S型波纹管膜片非线性稳定性分析  

Nonlinear Stability Analysis of S-Type Bellows Diaphragm under Dynamic and Static Loading

作　　者：韩明君[1] 李鸿瑞 周朝逾 席晓峰 马连生[1] 

机构地区：[1]兰州理工大学理学院,甘肃 兰州

出　　处：《力学研究》2021年第2期116-126,共11页International Journal of Mechanics Research

摘　　要：研究了S型波纹管膜片的非线性稳定性问题,运用拟壳法将S型波纹管膜片当作有初挠度的圆环薄板的复合结构,利用薄壳的非线性弯曲理论,得到S型波纹管膜片在动静载荷作用下的非线性动力学方程组。在边界条件、连续条件下用Galerkin得到膜片非线性系统的受迫振动方程。用Floquet指数判断了该系统发生分叉的条件,讨论了系统在平衡点领域的稳定性问题。he S-shaped bellows diaphragm is regarded as the combined structure of the circular plate with initial deflection by method of simulated shell. Using the nonlinear bending theory of thin shell, the nonlinear dynamic equations of the S-shaped bellows diaphragm under static-dynamic load are obtained. According to the boundary condition and continuous condition, the forced vibration equation of diaphragm nonlinear system is obtained by Galerkin. The conditions for bifurcation of the system were determined by using Floquet index, and the stability at the equilibrium point of the system was discussed.

关 键 词：非线性稳定性 非线性弯曲 受迫振动 非线性系统 复合结构 非线性动力学方程 膜片 平衡点 

分 类 号：O17[理学—数学]