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비선형 진동절연 시스템의 정강성 및 동강성 특성에 대한 매개변수 연구

A Parametric Study on the Characteristics of the Static and Dynamic Stiffness of a Nonlinear Vibration Isolator System

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주제분류기계공학

초록

In this study, theoretical analyses are performed to investigate the characteristics of the static and dynamic stiffness of a nonlinear vibration isolator system. The vibration isolator system is modeled as an equivalent nonlinear oscillator. Based on the model, the static equilibrium and frequency response solutions are obtained with the variations of external static load and/or system parameters. It is shown that the static stiffness of the nonlinear vibration isolator tends to be hardened with the increase of external static load, which prevents the occurrence of excessively large deflection. This static stiffness-hardening effect is more remarkable with a larger spring constant ratio. The dynamic stiffness is also strengthened when the spring constant ratio increases, which enlarges the force transmissibility and reduces the isolation frequency bandwidth. Thus, the static stiffness- hardening improves the robustness of the nonlinear vibration isolator, whereas the dynamic stiffness-hardening rather degrades its performance. Thus, the opposite tendency of the static and dynamic stiffness-hardening effects should be considered in the design process of the nonlinear vibration isolator.

Abstract

In this study, theoretical analyses are performed to investigate the characteristics of the static and dynamic stiffness of a nonlinear vibration isolator system. The vibration isolator system is modeled as an equivalent nonlinear oscillator. Based on the model, the static equilibrium and frequency response solutions are obtained with the variations of external static load and/or system parameters. It is shown that the static stiffness of the nonlinear vibration isolator tends to be hardened with the increase of external static load, which prevents the occurrence of excessively large deflection. This static stiffness-hardening effect is more remarkable with a larger spring constant ratio. The dynamic stiffness is also strengthened when the spring constant ratio increases, which enlarges the force transmissibility and reduces the isolation frequency bandwidth. Thus, the static stiffness- hardening improves the robustness of the nonlinear vibration isolator, whereas the dynamic stiffness-hardening rather degrades its performance. Thus, the opposite tendency of the static and dynamic stiffness-hardening effects should be considered in the design process of the nonlinear vibration isolator.

참고문헌 (11)

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  4. Shinno, H., "A Newly Developed Linear Motor-Driven Aerostatic X-Y Planar Motion Table System for Nano Machining", CIRP Annals, 56(1), pp.369~372 (2007)
  5. Emdadul Hoque, Md., "A six-axis hybrid vibration isolation system using active zero-power control supported by passive weight support mechanism", Journal of Sound and Vibration, 329(17), pp.3417~3430 (2010)
  6. Okwudire C. E., "Minimization of the residual vibrations of ultra-precision manufacturing machines via optimal placement of vibration isolators", Precision Engineering, 37(2), pp.425~432 (2013)
  7. Chen, S., "Design and experiment of dual micro-vibration isolation system for optical satellite flywheel", International Journal of Mechanical Sciences, 179, pp.105592~ (2020)
  8. Ibrahim, R. A, "Recent advances in nonlinear passive vibration isolators", Journal of Sound and Vibration, 314(3), pp.371~452 (2008)
  9. Alabuzhev, P., "Vibration Protecting And Measuring Systems With Quasi-Zero Stiffness" (1989), Hemisphere Publishing
  10. Gatti, G., "Some diverse examples of exploiting the beneficial effects of geometric stiffness nonlinearity", Mechanical Systems and Signal Processing, 125, pp.4~20 (2019)
  11. Carrella, A., "Force and displacement transmissibility of a nonlinear isolator with high-static-low-dynamic-stiffness", International Journal of Mechanical Sciences, 55(1), pp.22~29 (2012)

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