Abstract

This study investigates the use of a spring-bar mechanism (SBM) in a vibration suppression system to improve its performance. The SBM, comprising bars and springs, is configured with a conventional linear spring-damper isolator unit. The dynamic response, force transmissibility, and vibration energy flow behaviour are studied to evaluate the vibration suppression performance of the integrated system. It is found that the SBM can introduce hardening, softening stiffness, or double-well potential characteristics to the system. By tuning the SBM parameters, constant negative stiffness is achieved so that the natural frequency of the overall system is reduced for enhanced low-frequency vibration isolation. It is also found that the proposed design yields a wider effective isolation range compared to the conventional spring-damper isolator and a previously proposed isolator with a negative stiffness mechanism. The frequency response relation of the force-excited system is derived using the averaging method and elliptical functions. It is also found that the system can exhibit chaotic motions, for which the associated time-averaged power is found to tend to an asymptotic value as the averaging time increases. It is shown that the time-averaged power flow variables can be used as uniform performance indices of nonlinear vibration isolators exhibiting periodic or chaotic motions. It is shown that the SBM can assist in reducing force transmission and input power, thereby expanding the frequency range of vibration attenuations.

Highlights

  • IntroductionScientists and engineers are often confronted with the tasks of preventing the transmission of excessive vibrations from a vibrating source to its surrounding environment [1]

  • Scientists and engineers are often confronted with the tasks of preventing the transmission of excessive vibrations from a vibrating source to its surrounding environment [1].To deal with them, a common approach is to insert a vibration isolator between the source and the receiving structure

  • This study investigated a vibration isolation system consisting of a vertical springdamper linear isolator unit and a spring-bar mechanism (SBM) created by a pair of bars linked with horizontal springs

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Summary

Introduction

Scientists and engineers are often confronted with the tasks of preventing the transmission of excessive vibrations from a vibrating source to its surrounding environment [1]. It is necessary to obtain improved NSM design, which can assist in low-frequency vibration isolation but can avoid undesirable nonlinear effects To address these issues, this paper develops the previous NSM design by replacing the compression forces with adjustable spring forces dependent on the spring stiffness and the initial deflection. This paper develops the previous NSM design by replacing the compression forces with adjustable spring forces dependent on the spring stiffness and the initial deflection This new configuration based on the spring-bar mechanism (SBM) can better control the stiffness/restoring force characteristics so that effective isolation can be achieved without compromising isolation performance due to nonlinearity.

Model Description
Governing Equation
Stability Analysis
Frequency Response Function
Force Transmisibillity
Time-Averaged Input Power and Kinetic Energy
Non-Periodic Response
Conclusions

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