Dynamics and Realization of a Feedback-controlled Nonlinear Isolator with Variable Time Delay

[+] Author and Article Information
Xiuting Sun

School of Mechanical Engineering, University of Shanghai for Science and Technology, 516 JunGong Rd., Shanghai 200093, PRC

Feng Wang

School of Aerospace Engineering and Applied Mechanics, Tongji University, 1239 Siping Rd., Shanghai 200092, PRC

Jian Xu

School of Aerospace Engineering and Applied Mechanics, Tongji University, 1239 Siping Rd., Shanghai 200092, PRC

1Corresponding author.

ASME doi:10.1115/1.4041369 History: Received June 19, 2018; Revised August 28, 2018


In this paper, time-delayed feedback control is introduced for a nonlinear vibration isolator, and the isolation effectiveness features are investigated theoretically and experimentally. In the feedback control loop, compound control with constant and variable time delays is considered. First, a stability analysis is conducted to determine the range of control parameters for stable zero equilibrium without excitation. Next, the nonlinear resonance frequency and nonlinear vibration attenuation are studied by the Method of Multiple Scales to demonstrate the mechanism of time-delayed feedback control. The results of the nonlinear vibration performances show that large variable time delays can improve the vibration suppression. Additionally, the mechanism for the time delay is not only to tune the equivalent stiffness and damping but also to induce effective isolation bandgap at high frequency. Therefore, the variable time delay is assumed as the function of frequency to meet different requirements at different frequency bands. The relevant experiment verifies the improvement of designed variable time delay on isolation performances in different frequency bands. Because the variable time delay can improve isolation effectiveness for different frequency bands for nonlinear systems, the design methodology of compound time delay feedback control can be applied in the fields of ships, flexible structure in aerospace and aviation.

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