A Vibration Isolation System Using the Negative Stiffness Corrector Formed by Cam-Roller Mechanisms with Quadratic Polynomial Trajectory

The vibration isolator equipped with a negative stiffness corrector (NSC) excels at vibration isolation, but its stiffness often presents complex nonlinearity which needs to be approximated in calculation. To avoid the harmful effects of approximate stiffness, the NSC formed by the cam-roller mechan...

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Bibliographic Details
Published in:Applied sciences 2020-05, Vol.10 (10), p.3573
Main Authors: Sun, Mengnan, Dong, Zhixu, Song, Guiqiu, Sun, Xingwei, Liu, Weijun
Format: Article
Language:English
Subjects:
cam-roller mechanism
Computer simulation
Displacement
Dynamic models
Equilibrium
Excitation
Harmonic balance method
Mathematical models
negative stiffness corrector
Polynomials
Properties
Quadratic equations
quadratic polynomial trajectory
quasi-zero stiffness
Stiffness
Vibration
Vibration analysis
Vibration control equipment
Vibration isolators
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Summary:The vibration isolator equipped with a negative stiffness corrector (NSC) excels at vibration isolation, but its stiffness often presents complex nonlinearity which needs to be approximated in calculation. To avoid the harmful effects of approximate stiffness, the NSC formed by the cam-roller mechanism with a quadratic polynomial trajectory (QCRM) is proposed to construct the vibration isolation system. From the inherent geometrical relationship in the structure, the generation mechanism of high-static-low-dynamic stiffness is analyzed, and the quasi-zero stiffness (QZS) condition of the system is derived. Based on the dynamic model of the QZS vibration isolator, the functions of response characteristics are solved by the harmonic balance method. Then, the absolute displacement transmissibility with different parameter values, and the vibration isolation performance under sinusoidal, multi-frequency wave, and random excitations are discussed. The simulated results show that the stiffness expression of the proposed QZS vibration isolator is directly a quadratic function, which removes the calculation error caused by approximate stiffness at large displacement and broadens the available isolation displacement range. Introducing the QCRM-NSC can significantly suppress the low-frequency vibration and resonance response without changing the load-bearing capacity of the vibration isolator. Under various excitations, the vibration isolation performance of the QZS vibration isolator all outperforms the linear counterpart.
ISSN:2076-3417
2076-3417
DOI:10.3390/app10103573