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.

Issue Section:
Technical Papers
Keywords:
delamination, laminates, vibrations, supersonic flow, aerodynamics
Topics:
Clearances (Engineering), Dynamics (Mechanics), Rods, Transients (Dynamics), Poincaré maps, Flexible systems, Springs, Vibration
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