Efficient computation of parametric instability regimes in systems with a large number of degrees-of-freedom

被引：3

作者：

Kochupillai, J ^{[1
]}

Ganesan, N ^{[1
]}

Padmanabhan, C ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Appl Mech, Madras 600036, Tamil Nadu, India

来源：

FINITE ELEMENTS IN ANALYSIS AND DESIGN | 2004年 / 40卷 / 9-10期

关键词：

model reduction; parametric instability; pipe dynamics; pulsating flow;

D O I：

10.1016/j.finel.2003.08.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An efficient numerical method for examining the stability of linear time varying systems modeled by finite element (FE) methods is presented in this paper. Parametric instability of pipes conveying pulsating fluid flow is studied using multivariable Floquet-Lyapunov theory. In order to solve large size problems, the System matrices are reduced to a smaller size by transforming to modal coordinates using modal vectors. This transformation preserves the stability information and the reduced matrix is used for the evaluation of the monodromy matrix. For dealing with large systems with parametric excitations, it is found that proposed method is numerically efficient. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：1123 / 1138

页数：16

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