Journal
MECHANICAL SYSTEMS AND SIGNAL PROCESSING
Volume 87, Issue -, Pages 206-217Publisher
ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ymssp.2016.10.022
Keywords
Nonlinear system; Time-delayed feedback control; Vibration isolation; Bifurcation
Categories
Funding
- Shanghai Sailing Program [16YF1408000]
- Natural Science Foundation of Shanghai [16ZR1423600]
- National Natural Science Foundation of China [11572224]
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The optimum value bf time delay of active control used in a nonlinear isolation system for different types of external excitation is studied in this paper. Based on the mathematical model of the nonlinear isolator with time-delayed active control, the stability, response and displacement transmissibility of the system are analyzed to obtain the standards for appropriate values of time delay and control strengths. The effects of nonlinearity and time delay on the stability and vibration response are discussed in details. For impact excitation and random excitation, the optimal value of time delay is obtained based on the vibration dissipation time via eigenvalues analysis, while for harmonic excitation, the optimal values are determined based on multiple vibration properties including natural frequency, amplitude death region and effective isolation region by the Averaging Method. This paper establishes the relationship between the parameters and vibration properties of a nonlinear isolation system which provides the guidance for optimizing time-delayed active control for different types of excitation in engineering practices.
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