Harmonic balance method with alternating frequency/time domain technique for nonlinear dynamical system with fractional exponential

被引：0

作者：

张智勇 ^{[1
]}

陈予恕 ^{[1
]}

机构：

[1] School of Astronautics, Harbin Institute of Technology

来源：

AppliedMathematicsandMechanics(EnglishEdition) | 2014年 / 35卷 / 04期

基金：

中国国家自然科学基金;

关键词：

fractional exponential nonlinearity; harmonic balance method with alter-nating frequency/time(HB-AFT) domain technique; global response; stability;

D O I：

暂无

中图分类号：

O322 [非线性振动];

学科分类号：

080101 ;

摘要：

Comparisons of the common methods for obtaining the periodic responses show that the harmonic balance method with alternating frequency/time(HB-AFT) domain technique has some advantages in dealing with nonlinear problems of fractional exponential models. By the HB-AFT method, a rigid rotor supported by ball bearings with nonlinearity of Hertz contact and ball passage vibrations is considered. With the aid of the Floquet theory, the movement characteristics of interval stability are deeply studied. Besides, a simple strategy to determine the monodromy matrix is proposed for the stability analysis.

引用

页码：423 / 436

页数：14

共 14 条

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