On the identification of non-linear mechanical systems using orthogonal functions

被引：29
|
作者：
Pacheco, RP
Steffen, V
机构：
[1] Univ Fed Uberlandia, Dynam Syst Lab, Sch Mech Engn, Uberlandia, MG, Brazil
[2] Uniminas, Dept Ind Engn, Uberlandia, MG, Brazil
来源：
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2004年 / 39卷 / 07期
关键词：
non-linear systems; parameter identification; orthogonal functions;
D O I：
10.1016/S0020-7462(03)00112-4
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
Real world mechanical systems present non-linear behavior and in many cases simple linearization in modeling the system would not lead to satisfactory results. Coulomb damping and cubic stiffness are typical examples of system parameters currently used in non-linear models of mechanical systems. This paper uses orthogonal functions to represent input and output signals. These functions are easily integrated by using a so-called operational matrix of integration. Consequently, it is possible to transform the non-linear differential equations of motion into algebraic equations. After mathematical manipulation the unknown linear and non-linear parameters are determined. Numerical simulations, involving single and two degree-of-freedom mechanical systems, confirm the efficiency of the above methodology. (C) 2003 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1147 / 1159
页数：13
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