受边界载荷的大型环形桁架天线结构非线性动力学研究

发布时间：2018-03-16 18:05

本文选题：环形天线　切入点：圆柱壳　出处：《中国科学:物理学力学天文学》2017年10期 　论文类型：期刊论文

【摘要】：将展开锁定的大型环形天线简化为等效圆柱壳结构,并考虑前后索网对环形桁架的作用力,进而研究了其在一种特殊边界条件下呼吸振动的分岔和混沌.本文考虑热应力的影响,基于一阶剪切变形理论和von-Karman几何非线性关系,运用Hamilton原理推导出等效圆柱壳的偏微分形式的运动方程.并考虑将圆柱壳的一条母线固定,两端自由的特殊边界条件,利用Galerkin法将偏微分方程离散为常微分方程.运用Runge-Kutta法,对特殊边界条件下的等效圆柱壳进行数值仿真,获得系统的分岔图、最大Lyapunov指数曲线、三维分岔图、时间历程图、相图和庞加莱截面.研究了作用在等效圆柱壳两端上的径向线载荷和面内载荷对系统振动行为的影响
[Abstract]:In this paper, the large ring antenna with unfolded locking is simplified as an equivalent cylindrical shell structure, and the force of the front and rear cable mesh on the ring truss is considered. Furthermore, the bifurcation and chaos of respiratory vibration under a special boundary condition are studied. In this paper, the influence of thermal stress is considered, based on the first-order shear deformation theory and the geometric nonlinear relationship of von-Karman. The equation of motion of equivalent cylindrical shell in partial differential form is derived by using Hamilton principle. Considering the special boundary condition of fixing a bus bar and free ends of cylindrical shell, the partial differential equation is discretized into ordinary differential equation by Galerkin method. The Runge-Kutta method is used. The numerical simulation of the equivalent cylindrical shell under special boundary conditions is carried out, and the bifurcation diagram, the maximum Lyapunov exponent curve, the three-dimensional bifurcation diagram, the time history diagram of the system are obtained. Phase diagrams and Poincare cross sections. The effects of radial and in-plane loads acting on the two ends of equivalent cylindrical shells on the vibration behavior of the system are investigated.
【作者单位】：北京工业大学机电学院;
【基金】：国家自然科学基金(编号:11290152,11427801)资助项目
【分类号】：TN820

【相似文献】