Journal
INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS
Volume 99, Issue -, Pages 31-39Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijnonlinmec.2017.10.019
Keywords
Axially moving unidirectional plate; Fluid-structure interaction; Combination resonances; Stability
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Funding
- National Natural Science Foundation of China [11502050, 11672072]
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This paper analyzes characteristics of combination resonances and its stability for an axially moving plate partially immersed in fluid subjected to two frequency excitation. With a consideration to fluid structure interaction, the equations of motion are established based on the classical thin plate theory. The Galerkin method is applied to discretize the vibration equations. Adopting multiple scales method to solve combination resonances, system's frequency-response equations under steady state motion are obtained. Based on Lyapunov's stability theory, judging conditions for the stability of equations are acquired. Through numerical example, this paper analyzes characteristics of combination resonances while the ratio of two excitation frequencies meet with 2:1, and further provides time history curves, frequency-response curves and phase trajectories in moving phase plane. Influences played on dynamic characteristics by parameters such as excitation amplitudes, axially moving speed, damping and detuning parameters are also discussed. Results reveal that, under two frequency excitation, system presents rich and interesting non-linear phenomena. (C) 2017 Elsevier Ltd. All rights reserved.
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