Abstract
In order to research the influence of the control delay time on the vibration isolation system, the dynamic characteristic analysis of a two-degree-of-freedom vibration system, based on high-static-low-dynamic-stiffness vibration isolator (HSLDS-VI) with time-delayed feedback control is presented. The two-degree-of-freedom nonlinear vibration isolation dynamical system model comprising the delay time parameter is also derived. Then, the effects of feedback gain coefficient and delay parameter on the dynamic characteristics are analyzed with multiple scales method. The results demonstrate that the amplitude can be suppressed by the time-delay variation for a fixed feedback gain. The system can exhibit periodic motion or chaotic vibration when the feedback gain coefficient and time-delay parameter are adjusted, which is beneficial to the application of high-static-low-dynamic-stiffness vibration isolator.
Highlights
How to suppress low-frequency vibration effectively has always been a concerned issue in the field of vibration control
Huang [6] used the Euler buckling beam with negative stiffness to analyze the static and dynamic characteristics, the experimental results showed that the HSLDS-VI had a wider vibration isolation band than the linear isolator
This paper establishes a mathematical model of multi-degree-of-freedom high-static-low-dynamic stiffness vibration system with time-delayed feedback control, and the dynamic characteristics are researched under different delays and feedback gain parameters
Summary
How to suppress low-frequency vibration effectively has always been a concerned issue in the field of vibration control. The high-static-low-dynamic-stiffness vibration isolator (HSLDS-VI) is comprised of a positive and a negative stiffness structure The former part is used to carry the main load, and the latter part is used to offset the stiffness of the positive mechanism, so that the system stiffness could equal to zero at the equilibrium position. THE INFLUENCE OF THE CONTROLLING DELAY TIME ON TWO-DEGREE-OF-FREEDOM SYSTEM WITH A HIGH-STATIC-LOW-DYNAMIC-STIFFNESS ISOLATOR. Cheng [12] studied the HSLDS-VI dynamic analysis with the time-delayed feedback, results showed the appropriate feedback parameters could improve the vibration isolation performance. The influence of the controlling delay time on two-degree-of-freedom system with a high-static-low-dynamic-stiffness isolator is expected to be studied in detail. This paper establishes a mathematical model of multi-degree-of-freedom high-static-low-dynamic stiffness vibration system with time-delayed feedback control, and the dynamic characteristics are researched under different delays and feedback gain parameters
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