一种基于振型正交化的元素型模型修正方法

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振动与冲击 ›› 2011, Vol. 30 ›› Issue (6) : 5-9.

论文

一种基于振型正交化的元素型模型修正方法

郭杏林; 高海洋

作者信息 +

An improved direct method for updating structural models based on eigenvectors orthogonality

GUO xing-lin;GAO hai-yang

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文章历史 +

摘要

在振型正交化的一阶增量摄动格式基础上，综合元素型方法的灵活特点与矩阵型方法的公式简洁的优点，提出了内部元素联系矩阵这一概念，保持了刚度矩阵和质量矩阵的物理特性和内部元素的关联性的同时，有效的降低了求解增量方程组的欠定性，而且仅用前几阶试验频率和振型就能有效的修改系统的动力特性。最后分别用前两阶和前三阶试验频率及振型修正一个楼板结构和一个平面框架结构，表明了本方法的有效性和鲁棒性

Abstract

A direct method based on orthogonality conditions for eigenvectors is improved for updating the mass and stiffness matrices of a structural model. Combined with the merit of element method and matrix method, the inner elements associative matrix is presented to make the updated mass and stiffness matrix physically meaningful as the bandwidth and inner elements connection. Dynamic characteristics of the structures can be effectively modified using measured first few eigenmodes. Examples of five-story building and plane frame structure are updated with measured first two and three natural frequency and eigenvectors respectively. It can be easily proved the validity and robustness of this method

导出引用

郭杏林;高海洋. 一种基于振型正交化的元素型模型修正方法[J]. 振动与冲击, 2011, 30(6): 5-9

GUO xing-lin;GAO hai-yang. An improved direct method for updating structural models based on eigenvectors orthogonality[J]. Journal of Vibration and Shock, 2011, 30(6): 5-9