ON THE APPROXIMATE SOLUTION OF NONCLASSICALLY DAMPED LINEAR-SYSTEMS

被引：31

作者：

HWANG, JH

MA, F

机构：

[1] Department of Mechanical Engineering, University of California, Berkeley, CA

来源：

JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME | 1993年 / 60卷 / 03期

关键词：

D O I：

10.1115/1.2900860

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A common procedure in the solution of a nonclassically damped linear system is to neglect the off-diagonal elements of the associated modal damping matrix. For a large-scale system, substantial reduction in computational effort is achieved by this method of decoupling the system. In the present paper, the error introduced by disregarding the off-diagonal elements is evaluated, and a quadrature formula for the approximation error is derived. A tight error bound is then obtained. In addition, an effective scheme to improve the accuracy of the approximate solution is outlined.

引用

页码：695 / 701

页数：7

共 19 条

[1] FREQUENCY-RESPONSE OF NONPROPORTIONALLY DAMPED, LUMPED PARAMETER, LINEAR DYNAMIC-SYSTEMS [J].