空间框架的大振幅振动的有限元分析

利用非线性时空有限元方法来分析空间框架的非线性频响特性．在空间上，从梁的几何非线性方程出发，用一般的有限元方法对空间结构进行离散．在时间上，用傅立叶级数展开位移项，利用增量谐平衡法，得到非线性动力的有限元平衡方程，可用牛顿迭代法进行求解

Geometrical non linear vibration of space frames by finite element method

A finite element method based on the increment harmonic balance technique to determine the non linear response of space frames in free or forced periodic vibration is studied.The spatial discretization of the deformations is achieved by the usual finite element method and the time discretization by Fourier of the nodal displacements.After applying the harmonic balance technique,a set of non linear algebraic equations of Fourier coefficients is obtained.These equations are solved by the Newtonian iteration method in terms of the Fourier coefficient increments.