Stability switches in a neutral delay differential equation with application to real-time dynamic substructuring

被引：12

作者：

Kyrychko, Y. N. ^{[1
]}

Blyuss, K. B. ^{[2
]}

Gonzalez-Buelga, A. ^{[3
]}

Hogan, S. J. ^{[1
]}

Wagg, D. J. ^{[3
]}

机构：

[1] Univ Bristol, Dept Engn Math, Queens Bldg, Bristol BS8 1TR, Avon, England

[2] Univ Exeter, Dept Math Sci, Exeter EX4 4QE, Devon, England

[3] Univ Bristol, Dept Mech Engn, Bristol BS8 1TR, Avon, England

来源：

MODERN PRACTICE IN STRESS AND VIBRATION ANALYSIS VI, PROCEEDINGS | 2006年 / 5-6卷

关键词：

real-time dynamic substructuring; delay equations; stability; pendulum-mass-spring-damper system;

D O I：

10.4028/www.scientific.net/AMM.5-6.79

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In this paper delay differential equations approach is used to model a real-time dynamic substructuring experiment. Real-time dynamic substructuring involves dividing the structure under testing into two or more parts. One part is physically constructed in the laboratory and the remaining parts are being replaced by their numerical models. The numerical and physical parts are connected via an actuator. One of the main difficulties of this testing technique is the presence of delay in a closed loop system. We apply real-time dynamic substructuring to a nonlinear system consisting of a pendulum attached to a mass-spring-damper. We will show how a delay can have (de)stabilising effect on the behaviour of the whole system. Theoretical results agree very well with experimental data.

引用

页码：79 / +

页数：2

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