Asymptotic analysis of kinematically excited dynamical systems near resonances

被引：59

作者：

Starosta, Roman ^{[1
]}

Sypniewska-Kaminska, Grazyna ^{[1
]}

Awrejcewicz, Jan ^{[2
]}

机构：

[1] Poznan Univ Tech, Inst Appl Mech, PL-60965 Poznan, Poland

[2] Tech Univ Lodz, Dept Automat & Biomech, PL-90924 Lodz, Poland

来源：

NONLINEAR DYNAMICS | 2012年 / 68卷 / 04期

关键词：

Kinematic excitation; Resonance; Asymptotic analysis; Multiple-scale method;

D O I：

10.1007/s11071-011-0229-6

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

The dynamic response of a harmonically and kinematically excited spring pendulum is studied. This system is a multi-degree-of-freedom system and is considered as a good example for several engineering applications. The multiple-scale (MS) method allows us to analytically solve the equations of motion and recognize resonances. Also stability of the steady-state solutions can be verified. The transfer of energy from one to another mode of vibrations is illustrated.

引用

页码：459 / 469

页数：11

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