An efficient numerical procedure for calculating periodic vibrations of elastic mechanisms

Nguyen Van Khang, Nguyen Phong Dien, Nguyen Sy Nam


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.


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

Full Text:


DOI: Display counter: Abstract : 138 views. PDF : 70 views.


  • There are currently no refbacks.

Copyright (c) 2016 Vietnam Academy of Science and Technology


Editorial Office of Vietnam Journal of Mechanics

3rd Floor, A16 Building, 18B Hoang Quoc Viet Street, Cau Giay District, Hanoi, Vietnam

Tel: (+84) 24 3791 7103