智能结构梁横向自由振动的状态矢量法

Static Vector Method for Free Vibration in Intelligent Beam Structures

基于均匀等截面Ｂｅｒｎｏｕｌｉ－Ｅｕｌｅｒ梁的横向自由振动精确解，采用状态变量描述法，提出了一种求解智能结构梁横向自由振动精确解的新方法—状态矢量法．这种方法对于带集中质量的非均质阶梯梁的横向自由振动问题和非均质（均质）阶梯梁在任意谐载荷作用下的强迫振动问题同样适用．给出了实际算例．

Based on the accurate solution for free vibration of Bernoulli Euler Beam with uniform cross section,a new method,Static Vector Method,used to obtain the accurate solution of free vibration problem of intelligent beam structures is proposed.The method presented in the paper is suitable to free vibration of nonhomogeneity beams with stepped variable cross section attached concentrative mass and forced vibration of stepped beams of nonhomogeneity (homogeneity) with variable cross section under arbitrary loads.An example is given in the paper