单层扁锥面网壳非线性动力稳定性分析  

Analysis of non-linear dynamic stability of single-layer conical lattice shells

作　　者：梁从兴[1] 王新志[1] 丁雪兴[1] 韩明君[1] 

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2005年第4期141-143,共3页Journal of Lanzhou University of Technology

基　　金：甘肃省自然科学基金(ZS021-A25-007-Z)

摘　　要：用拟壳法建立了正三角形网格的三向扁锥面单层网壳的非线性动力学方程,在周边固定条件下,通过Galer-kin作用得到了一个含二次、三次项的非线性微分方程.通过求Floquet指数讨论了分岔问题,在给定的初始条件下解得了此非线性动力系统的自由振动方程的准确解.通过Melnikov函数得到了发生混沌的临界条件.通过数值仿真证实了混沌的存在.By using the method of simulated shell,non-linear dynamic equation of three-dimensional single-layer lattice shell with equilateral triangle mesh is derived. A quadric and cubic non-linear differential equation is gotten by using Galekin method on the condition that boundary is fixed. And the bifurcation problem is discussed according to Floquet exponent, and on accurate solution of free vibration of non-linear dynamic system is obtained for given initial conditions, then get critical condition is obtained by using Melnikov function method. Besides,chaos is proved by using numerial-graphic method.

关 键 词：网壳 拟壳法 混沌 临界条件 

分 类 号：O343.5[理学—固体力学]