WANG Xin-long, ZHOU Jia-xi, XU Dao-lin. On Piecewise Nonlinear Dynamic Characteristics of a New-Type Quasi-Zero-Stiffness Vibration Isolator With Cam-Roller-Spring Mechanism[J]. Applied Mathematics and Mechanics, 2014, 35(1): 50-62. doi: 10.3879/j.issn.1000-0887.2014.01.006
Citation: WANG Xin-long, ZHOU Jia-xi, XU Dao-lin. On Piecewise Nonlinear Dynamic Characteristics of a New-Type Quasi-Zero-Stiffness Vibration Isolator With Cam-Roller-Spring Mechanism[J]. Applied Mathematics and Mechanics, 2014, 35(1): 50-62. doi: 10.3879/j.issn.1000-0887.2014.01.006

On Piecewise Nonlinear Dynamic Characteristics of a New-Type Quasi-Zero-Stiffness Vibration Isolator With Cam-Roller-Spring Mechanism

doi: 10.3879/j.issn.1000-0887.2014.01.006
Funds:  The National Natural Science Foundation of China(11102062;11272116)
  • Received Date: 2013-10-15
  • Rev Recd Date: 2014-01-09
  • Publish Date: 2014-01-15
  • A piecewise nonlinear dynamic model for a new-type quasi-zero-stiffness (QZS) vibration isolation system with cam-roller-spring mechanism was developed. The dynamic characteristics of the QZS system under harmonic base motion were analyzed theoretically with the averaging method, and the primary resonance responses obtained. The analytical solution was verified by the numerical solution to the equation of motion, which confirmed the efficiency of the averaging method to solve the piecewise nonlinear problem. Further, the effects of exciting displacement amplitude and damping on the system responses were discussed. The displacement transmissibility was used to evaluate the performance of vibration isolation. The results show that the exciting displacement amplitude and damping notably influence the system response. When the exciting amplitude is relatively small, the QZS system outperforms the corresponding linear system obviously. The QZS system’s performance goes down as the exciting amplitude increases, but stands no worse than that of the corresponding linear system. This feature of the new-type QZS vibration isolation system is superior to that of the traditional QZS ones.
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