An efficient numerical procedure for calculating periodic vibrations of elastic mechanisms

Nguyen Van Khang, Nguyen Phong Dien, Nguyen Sy Nam

Abstract


This paper proposes a numerical procedure based on the well-known Newmark integration method to determine initial conditions for the periodic solution of a system of linear differential equations with time-periodic coefficients. Based on this, steady-state periodic vibrations of mechanisms with elastic elements governed by linearized differential equations with time-periodic coefficients can be conveniently calculated. The proposed procedure is demonstrated by a dynamic model of a planar four-bar mechanism with the flexible coupler.

Keywords


Steady-state vibration;elastic mechanism; Newmark integration metho; mode superposition method; dynamic stability

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DOI: https://doi.org/10.15625/0866-7136/38/1/5928 Display counter: Abstract : 58 views. PDF : 37 views.

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