›› 2015, Vol. 47 ›› Issue (2): 320-327.DOI: 10.6052/0459-1879-14-275

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PARAMETERS OPTIMIZATION OF A NEW TYPE OF DYNAMIC VIBRATION ABSORBER WITH NEGATIVE STIFFNESS

Peng Haibo1, Shen Yongjun2, Yang Shaopu2   

  1. 1. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China;
    2. Department of Mechanical Engineering, Shijiazhuang Tiedao University, Shijiazhuang 050043, China
  • Received:2014-09-11 Revised:2014-11-13 Online:2015-03-23 Published:2015-03-11
  • Supported by:
    The project was supported by the National Natural Science Foundation of China (11372198), the Program for New Century Excellent Talents in University of Ministry of Education of China (NCET-11-0936), the Cultivation Plan for Innovation Team and Leading Talent in Colleges and Universities of Hebei Province (LJRC018), the Program for Advanced Talent in the Universities of Hebei Province (GCC2014053), and the Program for Advanced Talent in Hebei (A201401001)

Abstract: A new type of dynamic vibration absorber with negative stiffness spring is presented and studied analytically in detail. At first the analytical solution is obtained based on the Laplace transform method, and it could be found that there exist two fixed points independent of the damping ratio in the normalized amplitude-frequency curves. The optimum tuning ratio and damping ratio are obtained based on the fixed-point theory. According to the characteristics of the negative stiffness element, the optimal negative stiffness ratio is obtained and it could keep the system stable. The comparison of the analytical solution with the numerical one verifies the correctness and satisfactory precision of the analytical solution. The comparison with other two traditional dynamic vibration absorbers under the harmonic and random excitation show that the presented dynamic vibration absorber performs better in vibration absorption. The result could provide theoretical basis for the optimal design of similar dynamic vibration absorber.

Key words: dynamic vibration absorber|negative stiffness|vibration control|fixed-point theory|parameter optimization

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