Analytical Periodical Solution of Subharmonic Resonance in a Strongly Nonlinear System of Machine Foundations
Bao Wenbo(1,2), Wen Bangchun(2)
(1, Shenyang University of Technology 110023) (2, Northeastern Univeristy 110006)

Abstract: A strongly nonlinear dynamicl model of machine foundation system is presented, and the analytical research on the periodic solution of the system is developed using the energy method in this paper. The condition of the periodic so lution which must be satisfied by the dynamical parameters, the periodic solution of the system and the discriminant of the stability are suggested. Besides ma in resonance, the subharmonic resonance in the system is detected, and a set of periodic solution of main and 1/3 & 1/5 subharmonic resonance under the periodic condition are given as examples. Finally the periodic solution of the system is investigated with the numerical method, and the precision of analytical method is compared with numerical one.
Keywords: machine foundations, strong nonlinearity, subharmonic resonance.