VISCO-ELASTIC SYSTEMS UNDER BOTH DETERMINISTIC AND BOUND RANDOM PARAMETRIC EXCITATION |
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| Authors: | XU Wei RONG Hai_wu FANG Tong |
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| Affiliation: | 1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710072, P. R. China;2. Department of Mathematics, Foshan University, Foshan, Guangdong 528000, P. R. China;3. Institute of Vibration Engineering, Northwestern Polytechnical University, Xi'an 710072, P. R. China |
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| Abstract: | The principal resonance of a visco_elastic systems under both deterministic and random parametric excitation was investigated. The method of multiple scales was used to determine the equations of modulation of amplitude and phase. The behavior, stability and bifurcation of steady state response were studied by means of qualitative analysis. The contributions from the visco_elastic force to both damping and stiffness can be taken into account. The effects of damping, detuning, bandwidth, and magnitudes of deterministic and random excitations were analyzed. The theoretical analysis is verified by numerical results. |
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| Keywords: | principal resonance visco_elastic system multiple scale method largest Liapunov exponent bifurcation |
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