Contact impact forces at discontinuous 2-DOF vibroimpact

• Autores: V.A. Bazhenov, O.S. Pogorelova, T.G. Postnikova
• Localización: Applied Mathematics and Nonlinear Sciences, ISSN-e 2444-8656, Vol. 1, Nº. 1, 2016, págs. 183-196
• Idioma: inglés
• DOI: 10.21042/AMNS.2016.1.00014
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• Resumen

  • Dynamic behaviour of contact impact forces in strongly nonlinear discontinuous vibroimpact system is studying. Contact impact force is one of the most significant vibroimpact system characteristics. We investigate the 2-DOF vibroimpact system by numerical parameter continuation method in conjunction with shooting and Newton-Raphson methods. We simulate the impact by nonlinear contact interactive force according to Hertz’s contact law. This paper is the continuation of the previous works [1, 2]. We have determined the instability zones and bifurcations points for loading curves [1] and frequency-amplitude response [2] under variation of excitation amplitude and frequency. In this paper we investigate the behaviour of contact forces at bifurcation points particularly at discontinuous bifurcation points where set-valued Floquet multipliers cross the unit circle by jump that is their moduli becoming more than unit by jump. It is phenomenon unique for nonsmooth systems with discontinuous right-hand side. We observe also the contact forces increase at nT-periodical multiple impacts regimes. We also learn the change of contact forces behaviour when the impact between system bodies became the soft one due the change of system parameters.