Vibration transmission and power flow in impact oscillators with linear and nonlinear constraints

Dai, Wei; Yang, Jian; Shi, Baiyang

doi:10.1016/j.ijmecsci.2019.105234

Cited by 46 publications

(7 citation statements)

References 34 publications

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“…This approach has been used for the evaluation of vibration transmission in linear systems [50,51]. In recent years, the PFA approach has been applied for investigating the dynamic behaviour of nonlinear systems [52][53][54][55][56][57] including non-smooth systems, such as bilinear systems and impact oscillators [58][59][60], from the energy flow viewpoint.…”

Section: Introductionmentioning

confidence: 99%

Vibration energy flow transmission in systems with Coulomb friction

Dai

Yang

Wiercigroch

2022

International Journal of Mechanical Sciences

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Section: Introductionmentioning

confidence: 99%

Vibration energy flow transmission in systems with Coulomb friction

Dai

Yang

Wiercigroch

2022

International Journal of Mechanical Sciences

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“…The IHBM has already been successfully applied to a wide range of dynamical systems, for example [38] - [41]. IHBM can also be employed to investigate the bifurcation and route-to-chaos [42], analyze the nonlinear dynamics of the time-varying dynamical system [43], predict the limit cycle oscillations under uncertainty [44] and other nonlinear problems [45] - [48], where periodicity of the anticipated solutions is expected.…”

Section: Introductionmentioning

confidence: 99%

Computation of periodic orbits for piecewise linear oscillator by Harmonic Balance Methods

Pei

Chong

Pavlovskaia

et al. 2022

Communications in Nonlinear Science and Numerical Simulation

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“…Yang et al studied the power flow behaviour and energy transmission characteristics of the Duffing oscillator [29], a nonlinear absorber [30], and a nonlinear isolator [31]. In recent years, the PFA has also been applied to the coupled oscillators with different nonlinear joints [32][33][34], with clearance [35,36], or with nonlinear inerter mechanisms [37].…”

Section: Introductionmentioning

confidence: 99%

Enhancing Vibration Isolation Performance by Exploiting Novel Spring-Bar Mechanism

Shi

Yang

2021

Applied Sciences

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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.

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Vibration transmission and power flow in impact oscillators with linear and nonlinear constraints

Cited by 46 publications

References 34 publications

Vibration energy flow transmission in systems with Coulomb friction

Vibration energy flow transmission in systems with Coulomb friction

Computation of periodic orbits for piecewise linear oscillator by Harmonic Balance Methods

Enhancing Vibration Isolation Performance by Exploiting Novel Spring-Bar Mechanism

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