The modification of the one-parameter numerical continuation method for studying the dynamics of vibroimpact systems subject to periodic external loads is proposed. The behavior of a vibroimpact double spring mass system with two degrees of freedom is analyzed in relation to the load intensity. Specific applications of the method are compared with the two impact simulation procedures: contact force on the basis of the Hertz quasistatic theory and boundary conditions using the coefficient of restitution based on the stereomechanical theory of impact. Numerical analysis results for dynamic system states with the two impact simulation procedures are presented.
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Translated from Problemy Prochnosti, No. 6, pp. 101 – 110, November – December, 2014.
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Bazhenov, V.A., Pogorelova, O.S. & Postnikova, T.G. Modification of the One-Parameter Numerical Continuation Method for Analysis of the Dynamics of Vibroimpact Systems. Strength Mater 46, 801–809 (2014). https://doi.org/10.1007/s11223-014-9614-y
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DOI: https://doi.org/10.1007/s11223-014-9614-y