VISCO-ELASTIC SYSTEMS UNDER BOTH DETERMINISTIC AND BOUND RANDOM PARAMETRIC EXCITATION

Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (9): 1089-1099.

VISCO-ELASTIC SYSTEMS UNDER BOTH DETERMINISTIC AND BOUND RANDOM PARAMETRIC EXCITATION

徐伟¹, 戎海武², 方同³

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

收稿日期:2001-12-12 修回日期:2003-04-23 出版日期:2003-09-18 发布日期:2003-09-18
基金资助:
the National Natural Science Foundation of China (10072049)

VISCO-ELASTIC SYSTEMS UNDER BOTH DETERMINISTIC AND BOUND RANDOM PARAMETRIC EXCITATION

XU Wei¹, RONG Hai-wu², FANG Tong ³

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

Received:2001-12-12 Revised:2003-04-23 Online:2003-09-18 Published:2003-09-18
Supported by:
the National Natural Science Foundation of China (10072049)

摘要/Abstract

摘要： 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.

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.

中图分类号:

徐伟;戎海武;方同. VISCO-ELASTIC SYSTEMS UNDER BOTH DETERMINISTIC AND BOUND RANDOM PARAMETRIC EXCITATION[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(9): 1089-1099.

XU Wei;RONG Hai-wu;FANG Tong . VISCO-ELASTIC SYSTEMS UNDER BOTH DETERMINISTIC AND BOUND RANDOM PARAMETRIC EXCITATION[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(9): 1089-1099.

参考文献

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VISCO-ELASTIC SYSTEMS UNDER BOTH DETERMINISTIC AND BOUND RANDOM PARAMETRIC EXCITATION

VISCO-ELASTIC SYSTEMS UNDER BOTH DETERMINISTIC AND BOUND RANDOM PARAMETRIC EXCITATION

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