Averaging in Parametrically Excited Systems - A State Space Formulation

被引：1

作者：

Pfau, Bastian ^{[1
]}

Breunung, Thomas ^{[1
]}

Dohnal, Fadi ^{[2
]}

Markert, Richard ^{[1
]}

机构：

[1] Tech Univ Darmstadt, Inst Appl Dynam, D-64287 Darmstadt, Germany

[2] Ansaldo Energia Switzerland Ltd, CH-5401 Baden, Switzerland

来源：

CSNDD 2016 - INTERNATIONAL CONFERENCE ON STRUCTURAL NONLINEAR DYNAMICS AND DIAGNOSIS | 2016年 / 83卷

关键词：

STIFFNESS;

D O I：

10.1051/matecconf/20168305008

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

Parametric excitation can lead to instabilities as well as to an improved stability behavior, depending on whether a parametric resonance or anti-resonance is induced. In order to calculate the stability domains and boundaries, the method of averaging is applied. The problem is reformulated in state space representation, which allows a general handling of the averaging method especially for systems with non-symmetric system matrices. It is highlighted that this approach can enhance the first order approximation significantly. Two example systems are investigated: a generic mechanical system and a flexible rotor in journal bearings with adjustable geometry.

引用

页数：4

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