Nonlinear Transient Localization and Beat Phenomena Due to Backlash in a Coupled Flexible System
Authors:
- 1 August 2000
- journal article
- Published by ASME International in Journal of Vibration and Acoustics
- Vol. 123 (1) , 36-44
Abstract
Transient nonlinear localization and beat phenomena are studied in a system of two rods coupled with a nonlinear backlash spring. The method of Karhunen-Loeve (K-L) decomposition is used to reduce the order of the dynamics, and to study nonlinear effects by considering energy transfers between leading K-L modes. The computed K-L modes are used to discretize the governing partial differential equations, thus creating accurate and computationally efficient low-dimensional nonlinear models of the system. Reconstruction of transient nonlinear responses using these low dimensional models reveals the accuracy of the order reduction. Poincare´ maps are utilized to study the nonlinear localization and beat phenomena caused by the clearance connecting the coupled rods.Keywords
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