非线性电磁吸振器的吸振效果与动力学特性研究

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摘要提出两种非线性电磁吸振器：准零刚度主结构耦合非线性RLC（relay logic circuit）电路；准零刚度主结构耦合线性RLC电路。推导得到非线性机电耦合系数。建立起两种吸振器的振动控制模型。基于谐波平衡法，推导并分别得到两种吸振器位移传递率的解析表达式。利用雅可比矩阵判断解析解的稳定性。结果表明：相比于主结构无外接电路的条件下，两种吸振器可分别提高64%和77%的吸振性能；前者在低频吸振方面更具优势；前者在电阻较小时会引发特定频率内的准周期振动；二者均存在最优设计参数。

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	简彬1
	马洪业2
	王珂2
	严博3

关键词 ：非线性吸振器, 振动控制, 谐波平衡法, 非线性振动

Abstract：This paper proposes two kinds of nonlinear electromagnetic vibration absorbers: the quasi-zero stiffness main structure coupled nonlinear RLC circuit and the quasi-zero stiffness main structure coupled linear RLC circuit. First, the nonlinear electromagnetic coefficient is derived. Then, the governing equations of two kinds of nonlinear electromagnetic absorbers are established and corresponding displacement transmissibilities are derived by the harmonic balance method. Last, Jacobin Matrix is used to judge the stability of solutions. Results show that two kinds of nonlinear absorbers can improve the vibration absorption performance by 64% and 77% compared with that under the condition of the main structure without external circuit. The former has more advantages in low-frequency vibration absorption. Moreover, it will cause quasi-periodic vibration at a specific frequency when the resistance is low. Both of them have optimal design parameters.

Key words： Nonlinear vibration absorber Vibration control Harmonic balance method Nonlinear oscillation

收稿日期: 2022-01-17 出版日期: 2023-03-28

引用本文:

简彬1，马洪业2，王珂2，严博3. 非线性电磁吸振器的吸振效果与动力学特性研究[J]. 振动与冲击, 2023, 42(6): 188-195.
JIAN Bin1,MA Hongye2,WANG Ke2,YAN Bo3. Vibration absorption performance and dynamic characteristics of nonlinear electromagnetic absorbers. JOURNAL OF VIBRATION AND SHOCK, 2023, 42(6): 188-195.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2023/V42/I6/188

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