A suspension system with quasi-zero stiffness characteristics and inerter nonlinear energy sink

In this article, a novel vibration control scheme of suspension systems is proposed. It combines the advantages of quasi-zero stiffness isolator, nonlinear energy sink absorber, and inerter. This proposed scheme can achieve low transmissibility, low amplitude, and low additional weight and resolve the conflict between riding comfort and handling stability. Strong nonlinear vibration equations of a quarter-vehicle suspension system are established. It also presents the detailed process of high-order harmonic approximation to obtain steady-state responses. Moreover, approximate solutions are validated by a numerical method. Furthermore, based on riding comfort and handling stability, the following four suspension systems are evaluated and compared, namely, 2-degree-of-freedom quarter-vehicle model, 2-degree-of-freedom quarter-vehicle with quasi-zero stiffness isolator, 2-degree-of-freedom quarter-vehicle with inerter-nonlinear energy sink absorber, and 2-degree-of-freedom quarter-vehicle integrated control scheme with quasi-zero stiffness and inerter-nonlinear energy sink. It is found that the integrated control scheme with quasi-zero stiffness and inerter-nonlinear energy sink can significantly improve the riding comfort and handling stability at the same time. In addition, the effects of system parameters are studied carefully. The results show that based on the reasonable design of the control system parameters, better riding comfort and handling stability can be obtained. In short, this article provides a theoretical basis for integrating quasi-zero stiffness isolators and inerter-nonlinear energy sink absorbers to improve the riding comfort and handling stability.

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A Fractional Calculus for Nonlinear Energy Sink Used in Vibration Absorption System

Noise & Vibration Worldwide ◽

10.1260/0957-4565.42.10.62 ◽

2011 ◽

Vol 42 (10) ◽

pp. 62-67

Author(s):

Song Li ◽

Bo Fang ◽

Tianzhi Yang ◽

Wenhu Huang

Keyword(s):

Fractional Calculus ◽

Nonlinear Energy Sink ◽

Small Mass ◽

Degree Of Freedom ◽

Linear Oscillator ◽

Order System ◽

Good Correspondence ◽

Vibration Absorption ◽

Energy Sink ◽

Nonlinear Energy

The phenomenon of energy pumping, in which vibratory energy is transferred irreversibly within a nonlinear, multi-degree-of-freedom system with the goal of reducing the transient response of the primary substructure, has recently been investigated analytically and through numerical simulations. The dynamics of single degree of freedom linear subsystem with attached nonlinear energy sink is investigated. The response of a linear oscillator attached to nonlinear energy sink with relatively small mass under external forcing in a vicinity of main resonance is studied analytically and numerically. It is possible that targeted energy could transfer from linear oscillators to the nonlinear energy sink in this system. Analytical model is verified numerically and a fairly good correspondence is observed. Fractional calculus offers a powerful tool to describe the dynamic behavior of real vibration absorption. A version of the fractional derivative models is presented and investigated in this paper for analyzing vibration absorption behavior of nonlinear energy sink. It is shown that the fractional-order system is in a stronger position than the traditional nonlinear energy sink coupled to the linear oscillator.

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A new active variable stiffness suspension system using a nonlinear energy sink-based controller

Vehicle System Dynamics ◽

10.1080/00423114.2013.815358 ◽

2013 ◽

Vol 51 (10) ◽

pp. 1588-1602 ◽

Cited By ~ 7

Author(s):

Olugbenga Moses Anubi ◽

Carl D. Crane

Keyword(s):

Variable Stiffness ◽

Nonlinear Energy Sink ◽

Suspension System ◽

Energy Sink ◽

Nonlinear Energy

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Parameter Variation on Nonlinear Energy Sink attached to Multiple Degree of Freedom System

PAMM ◽

10.1002/pamm.201900272 ◽

2019 ◽

Vol 19 (1) ◽

Author(s):

Martin Jahn ◽

Lars Panning-von Scheidt ◽

Jörg Wallaschek

Keyword(s):

Nonlinear Energy Sink ◽

Parameter Variation ◽

Degree Of Freedom ◽

Energy Sink ◽

Nonlinear Energy

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Dynamic Response of a Semiactive Suspension System with Hysteretic Nonlinear Energy Sink Based on Random Excitation by means of Computer Simulation

Complexity ◽

10.1155/2020/3181423 ◽

2020 ◽

Vol 2020 ◽

pp. 1-13

Author(s):

Hui Chen ◽

Wuyin Jin

Keyword(s):

Computer Simulation ◽

Ride Comfort ◽

Nonlinear Energy Sink ◽

Random Excitation ◽

Suspension System ◽

Driver Safety ◽

Vehicle System ◽

Energy Sink ◽

Nonlinear Energy ◽

Semiactive Suspension

This paper aims to investigate the property and behavior of the hysteretic nonlinear energy sink (HNES) coupled to a half vehicle system which is a nine-degree-of-freedom, nonlinear, and semiactive suspension system in order to improve the ride comfort and increase the stability in shock mitigation by using the computer simulation method. The HNES model is a semiactive suspension device, which comprises the famous Bouc–Wen (B-W) model employed to describe the force produced by both the purely hysteretic spring and linear elastic spring of potentially negative stiffness connected in parallel, for the half vehicle system. Nine nonlinear motion equations of the half vehicle system are derived in terms of the seven displacements and the two dimensionless hysteretic variables, which are integrated numerically by employing the direct time integration method for studying both the variables of vertical displacements, velocities, accelerations, chassis pitch angle, and the ride comfort and driver safety, respectively, based on the bump and random road inputs of the pseudoexcitation method as excitation signal. Simulation results show that, compared with the HNES model and the magnetorheological (MR) model coupled to the half vehicle system, the ride comfort and stability have been evidently improved. A successful validation process has been performed, which indicated that both the ride comfort and driver safety properties of the HNES model coupled to half vehicle significantly improved.

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Simulation and Testing of a 6-Story Structure Incorporating a Coupled Two Mass Nonlinear Energy Sink

Volume 1: 24th Conference on Mechanical Vibration and Noise, Parts A and B ◽

10.1115/detc2012-71442 ◽

2012 ◽

Cited By ~ 3

Author(s):

Nicholas E. Wierschem ◽

Jie Luo ◽

Mohammad AL-Shudeifat ◽

Sean Hubbard ◽

Richard Ott ◽

...

Keyword(s):

Linear Structure ◽

Experimental Tests ◽

Nonlinear Energy Sink ◽

Degree Of Freedom ◽

Nonlinear Element ◽

Numerical Predictions ◽

Wide Range ◽

Modes Of Vibration ◽

Energy Sink ◽

Nonlinear Energy

The nonlinear energy sink (NES) is a passive device used to rapidly direct energy into higher modes of vibration and locally dissipate a significant portion of the impulsive shock energy induced in the primary, linear structure to which it is attached. The Type III NES is a two degree-of-freedom device comprised of two lightweight masses coupled together through an essentially nonlinear element. The lower mass in this two-mass arrangement is coupled to the linear structure through another essentially nonlinear element. This modification has been found to dramatically improve the performance of the NES to mitigate the shock when compared to a one degree-of-freedom NES device. The measure of effective damping of the linear structure indicates the ability of the NES to dissipate energy and reduce the response of the structure across a wide range of energies. Experimental tests have been performed to verify the numerical findings. Good agreement between numerical predictions and experimental observations validates the identified model of the NES.

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