两自由度非线性隔振系统的吸引子迁移控制

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摘要针对非线性隔振系统存在多个不同拓扑特性的吸引子，提出了实现不同吸引子之间迁移控制的方法。首先，对两自由度非线性隔振系统进行全局分岔分析，证明系统存在多个吸引子；然后，利用控制方法实现系统不同吸引子之间的迁移。仿真结果表明：开环加非线性闭环控制方法相比开环、闭环和开环加线性闭环控制方法，传递域是全局的，且不受目标函数的影响，为降低潜艇辐射水声中的低频线谱特征提供了新的思路。

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关键词 ：非线性隔振系统, 全局分岔, 吸引子共存, 迁移控制, 开环加非线性闭环控制

Abstract：A migration control strategy for a nonlinear vibration isolation system with multiple coexistent attractors was investigated.First, a global bifurcation analysis was carried out and the multiple coexistent attractors were obtained.Then, several control methods were adopted to accomplish the migration of different attractors.The umerical simulations show that the open-plus-nonlinear-closed-loop (OPNCL) control has the global controlling basin property, compared with the open loop, linear feedback and open-plus-closed-loop (OPCL) controls.The results providea novel approach for the line spectrum reduction in the low frequency band of submarine radiated underwater noises.

Key words： nonlinear vibration isolation system global bifurcation multiple coexistent attractors migration control open-plus-nonlinear-closed loop control

收稿日期: 2017-08-16 出版日期: 2018-11-15

引用本文:

柴凯1,2 楼京俊2 朱石坚2 俞翔2. 两自由度非线性隔振系统的吸引子迁移控制[J]. 振动与冲击, 2018, 37(22): 10-16.
CHAI Kai1,2,LOU Jingjun2,ZHU Shijian2,YU Xiang2,WU Haiping2. Attractor migration control of a two-degree-of-freedom nonlinear vibration isolation system. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(22): 10-16.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2018/V37/I22/10

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