Non-linear vibration of a travelling beam

Chakraborty, G. ; Mallik, A. K. ; Hatwal, H. (1999) Non-linear vibration of a travelling beam International Journal of Non-linear Mechanics, 34 (4). pp. 655-670. ISSN 0020-7462

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00207...

Related URL: http://dx.doi.org/10.1016/S0020-7462(98)00017-1

Abstract

Free and forced responses of a travelling slender beam including the non-linear terms are studied. A simple method of calculating the non-linear, non-stationary, complex normal mode is presented. The hardening characteristic and intercoupling of linear modes during the non-linear modal vibration are clearly brought out. The response of the beam, excited by a point harmonic load, is calculated using the non-linear normal modes. A stability analysis is provided to delineate the stable and unstable roots of the response.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Gyroscopic Systems; Non-linear Non-stationary Complex Normal Mode; Non-linear Natural Frequency; Stability of the Response
ID Code:21942
Deposited On:23 Nov 2010 09:00
Last Modified:06 Jun 2011 12:17

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