实验模态分析中一种改进的傅氏域离散正交多项式  

A kind of improved discrete orthogonal polynomials in Fourier domain for experimental modal analysis

作　　者：胡彦超[1] 陈章位[1] 

机构地区：[1]浙江大学流体传动及控制国家重点实验室,浙江杭州310027

出　　处：《振动工程学报》2008年第1期43-47,共5页Journal of Vibration Engineering

摘　　要：针对在借助有理分式多项式构建结构频响函数的分析模型的过程中由于负频率引入的虚拟测点将导致方程式在多项式阶次较高时出现病态的问题,对实域离散点列上的正交多项式进行了推广,得到傅氏域离散点列上的正交多项式。该多项式不仅可避免由负频率引入的冗余计算,而且亦使方程式得到解耦,从而使该方法更为高效。The equations will be ill-conditioning when the polynomial order is large in the course of establishing structural frequency response function with rational fraction polynomials. To overcome the drawback a kind of improved discrete orthogonal polynomials have been proposed in fourier domain developed from relatives in real domain which not only overcomes the unnecessary computation incurred by negative frequencies but also makes the equations uncoupled. Overcoming this numerical problem has made this teehnique more effective.

关 键 词：实验模态分析 离散正交多项式 有理分式多项式 负频率 

分 类 号：TB122[理学—工程力学]