PARAMETRIC AND EXTERNAL RESONANCES IN KINEMATICALLY AND EXTERNALLY EXCITED NONLINEAR SPRING PENDULUM-Reference-Cited by-同舟云学术

PARAMETRIC AND EXTERNAL RESONANCES IN KINEMATICALLY AND EXTERNALLY EXCITED NONLINEAR SPRING PENDULUM

Published:2011-10 Issue:10 Volume:21 Page:3013-3021
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

STAROSTA ROMAN¹,SYPNIEWSKA–KAMIŃSKA GRAŻYNA¹,AWREJCEWICZ JAN²

Affiliation:

1. Institute of Applied Mechanics, Poznan University of Technology, ul. Piotrowo 3, 60-965, Poznań, Poland

2. Department of Automation and Biomechanics, Technical University of Łódź, ul. Stefanowskiego 1/15, 90-924 Łódź, Poland

Abstract

A weakly nonlinear 2-DOF system, parametrically and externally excited, is studied. An intensive energy transfer between modes of vibrations is discovered. Multiple scales method is used for recognizing resonances occurring in the system. The amplitude response functions for some chosen cases of resonances are obtained and studied. Many of the engineering systems can be investigated in the presented way.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127411030313

Reference18 articles.

1. Asymptotical behaviour of a system with damping and high power-form non-linearity

2. Amplitude modulated dynamics of a resonantly excited autoparametric two degree-of-freedom system

3. Dynamics of coupled linear and essentially nonlinear oscillators with substantially different masses

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