Journal of Mechanical Science and Technology

, Volume 31, Issue 4, pp 1551–1560 | Cite as

Vibrational behavior of MDOF oscillators subjected to multiple contact constraints

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Abstract

Vibrational behavior of harmonically excited MDOF oscillators subjected to multiple contact constraints is investigated in this paper using the combination of the Newmark integration scheme and the Linear complementarity problem (LCP) formulation. An oscillator with gap-activated non-smooth spring constraints exhibits various complex behavior such as sub-harmonic resonances, bifurcations and chaos, which are effectively predicted using the proposed method. Numerical results were obtained and presented for SDOF and 5-DOF systems with frequency and stiffness parameters varying in wide ranges to validate the Newmark-LCP method and to demonstrate its effectiveness in dealing with MDOF systems with multiple contact constraints.

Keywords

Bifurcation Chaos Contact Linear complementarity problem Piecewise linear nonlinearity Sub-harmonic resonance Super-harmonic resonance 

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Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag Berlin Heidelberg 2017

Authors and Affiliations

  1. 1.Department of Mechanical and Industrial EngineeringRyerson UniversityTorontoCanada

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