空间巨型框架结构的自由振动

Free vibration of huge spatial frame structures

采用连续质量动力系统模型,从弹性动力学系统的Hamilton原理出发,建立了空间巨型框架结构自由振动的控制微分方程组。以常微分方程求解器为计算工具,分析了现代高层建筑和联体建筑中常常采用的空间巨型框架结构的振动特性。对门型空间巨型框架的计算结果表明,对应不同的周期,空间巨型框架各部件有不同的振型组合,并且调整结构系统的质量和刚度的分布以及建筑物的尺寸,都会使周期和振型发生显著的改变。

Based on continuous mass dynamic model and Hamilton’s principle of elastic dynamic system, the governing differential equations for free vibration of a huge spatial frame structure are derived.Using the solver of the ordinary differential equation,the vibration behaviors of the modern tall building structures and combined building structures, which are widely used in the huge spatial frame structure, are investigated. Numerical calculations for the huge gated spatial frame structure show that for various periods, the system behaves different mode combination, and adjusting mass and stiffness distribution as well as structures size, the periods and modes of the system will have pronounced variation.