Dynamics of unsymmetric piecewise-linear/non-linear systems using finite elements in time

Yu Wang (1)

1 Department of Mechanical Engineering

The dynamic response and stability of a single-degree-of-freedom system with unsymmetric piecewise-linear/non-linear stiffness are analyzed using the finite element method in the time domain. Based on a Hamilton's weak principle, this method provides a simple and efficient approach for predicting all possible fundamental and sub-periodic responses. The stability of the steady state response is determined by using Floquet's theory without any special effort for calculating transition matrices. This method is applied to a number of examples, demonstrating its effectiveness even for a strongly non-linear problem involving both clearance and continuous stiffness non-linearities. Close agreement is found between available published findings and the predictions of the finite element in time approach, which appears to be an efficient and reliable alternative technique for non-linear dynamic response and stability analysis of periodic systems.

Domaines: Sciences de l'ingénieur [physics]

Yu Wang. Dynamics of unsymmetric piecewise-linear/non-linear systems using finite elements in time. Journal of Sound and Vibration, 1995, ⟨10.1006/jsvi.1994.0369⟩. ⟨hal-01333696⟩