梁结构边界条件识别的行波法

基于Euler-Bernoulli梁模型，研究了梁结构的波动动力学方程以及结点散射关系，在此基础上提出了行波法识别梁结构边界条件的新方法。以系统固有频率值为已知量，从行波观点出发，建立起系统的特征方程，由特征方程反解识别得到结构的边界参数。通过对附加弹性支撑的悬臂梁进行振动实验，利用所测的低阶固有频率值，辨识出边界的横向和扭转刚度。实验结果表明，该方法具有良好的识别精度，是一种极有潜力的参数辨识方法。

Identification of Boundary Conditions for Beam Structures Based on Traveling Wave Method

A new identification method for boundary conditions of beam structures were developed by using traveling wave method and natural frequencies. For beam structures, the features of wave propagation in wave-guides were extracted. So the system characteristic equations were formed in view of the scattering and transmission relations. Each of the natural frequencies must fit the characteristic equations. Therefore, the boundary conditions are obtained by solving the characteristic equations inversely. The order of these non-linear equations is equal to the number of boundary parameters to be identified. Experiments were performed on a cantilever supported with elastic fastens. Experimental results show that this approach has good precision and stabilization.