Huang, S, Petrov, E and Ewins, D J (2006) Comprehensive analysis of periodic regimes of forced vibration for structures with nonlinear snap-through springs. In: 6th International Conference on Modern Practice in Stress and Vibration Analysis, Sep 05-07, 2006, Bath, ENGLAND.

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Abstract

In this paper a comprehensive analysis of steady-state forced response is performed for the case of a system with snap-through nonlinear springs. Stiffness characteristics of these springs include cubic and linear terms and the linear stiffness term is negative. There are a very restricted number of solutions found in literature for such type of nonlinearity. Because of that, the primary goal of the study is to obtain a full set of possible solutions providing stable and unstable periodic forced response regimes. The solutions sought include three major groups of the periodic response: (i) vibrations having a period coinciding with the excitation; (ii) subharmonic vibrations; and (iii) superharmonic vibrations. A multi-harmonic balance method is applied for highly efficient and accurate frequency-domain analysis of steady-state forced responses in a wide range of excitation frequency variation. Time-marching integration methods are used for validation and further analysis, including assessment of stability for the solutions found by the multi-harmonic balance method. The numerical studies performed reveal a wide variety of periodic regimes which are inherent for structures with snap-through springs

Item Type:	Conference or Workshop Item (Paper)
Schools and Departments:	School of Engineering and Informatics > Engineering and Design
Subjects:	T Technology > TJ Mechanical engineering and machinery
Depositing User:	Yevgen Petrov
Date Deposited:	27 Nov 2012 07:06
Last Modified:	27 Nov 2012 07:06
URI:	http://srodev.sussex.ac.uk/id/eprint/42985

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