基于最小能量原理的矩形平面预应力索网结构大变形自由振动研究  

LARGE DEFORMATION VIBRATION OF A PLANAR RECTANGULAR PRESTRESSED CABLE-NET STRUCTURE BASED ON PRINCIPLE OF MINIMUM POTENTIAL ENERGY

作　　者：尚仁杰[1] 李谦[1] 吴转琴[1] 李佩勋[1] 周建锋[1] 

机构地区：[1]中冶集团建筑研究总院,北京100088

出　　处：《振动与冲击》2007年第9期158-161,共4页Journal of Vibration and Shock

摘　　要：以中关村文化商厦30m×70m平面索网为工程背景,考虑矩形索网结构大变形产生的几何非线性的影响,用最小势能原理推导了非线性振动的微分方程并给出了解法;研究了线性振动频率、大振幅振动频率和大变形后小振幅的振动频率计算方法;结合实例对3个振动频率进行了计算分析。给出的非线性振动方程和解法简单准确,为大跨度平面索网结构抗风抗震设计提供参考。Based on the engineering background of Zhongguancun Culture Building of a 30m×70m planar cable-net, the vibration equation of a prestressed rectangular cable-net is deduced by the principle of minimum potential energy considering the influence of geometric nonlinearity of large deformation, and the solution to the equation is given. The method to calculate the frequencies of linear vibration, large deformation vibration and small vibration after large deformation is studied. The first 3 frequencies of an example are calculated and analyzed. The vibration equation and the solving method proposed seem to be simple and feasible.

关 键 词：平面索网 大变形 非线性 振动 最小势能原理 

分 类 号：TU394[建筑科学—结构工程] O322[理学—一般力学与力学基础]