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Stability of non-conservative linear gyroscopic systems

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Abstract

The paper investigates the stability of linear non-conservative mechanical systems subjected to potential, gyroscopic, circulatory forces and Rayleigh damping. Three stability theorems are proved by means of the Rayleigh quotients. The stability criterions given by the theorems are convenient and useful because they are independent of the Rayleigh quotients.

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Communicated by Ye Qingkai

Project supported by the National Natural Science Foundation of China and Post-Doctor Science Foundation of China

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Junfeng, L., Zhaolin, W. Stability of non-conservative linear gyroscopic systems. Appl Math Mech 17, 1171–1175 (1996). https://doi.org/10.1007/BF02498705

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  • DOI: https://doi.org/10.1007/BF02498705

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