On the response of the non-linear vibration absorber

Shaw, Jin-Siang; Shaw, Steven W.; Haddow, Alan G.

doi:10.1016/0020-7462(89)90046-2

Cited by 101 publications

(62 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Nonlinearities in tuned absorbers can be used to maximize the vibration suppression bandwidth or reduce the amplitude of the primary system, as described in many papers (110) - (114) . However, nonlinearities can also lead to combination resonances that are not desirable in the system response (115), (116) . Perhaps, the earliest passive device that makes use of a purely nonlinear response for vibration suppression is the "autoparametric" vibration absorber of Haxton and Barr (117) , which has continued to receive attention (118) - (120) .…”

Section: Vibration Controlmentioning

confidence: 99%

A Review of Nonlinear Dynamics of Mechanical Systems in Year 2008

Shaw

Balachandran

2008

JSDD

Self Cite

View full text Add to dashboard Cite

In this article, we provide an overview of a selection of topics of current interest in nonlinear dynamics and vibrations of mechanical systems. Specifically, we cover the traditional topics of structural dynamics, rotating systems, vibration control, vehicle dynamics, and machining, as well as some topics that have emerged more recently, namely micro-and nano-electromechanical systems, piecewise smooth systems, and structural health monitoring and system identification. In the introductory and closing sections, we offer our perspective on the state of affairs in nonlinear dynamics and its utility in the study of mechanical systems.

show abstract

Section: Vibration Controlmentioning

confidence: 99%

A Review of Nonlinear Dynamics of Mechanical Systems in Year 2008

Shaw

Balachandran

2008

JSDD

Self Cite

View full text Add to dashboard Cite

show abstract

“…Nonlinear vibration absorbers, including the autoparametric vibration absorber [1], the nonlinear energy sink (NES) [2][3][4] and other variants [5][6][7], can absorb disturbances in wide ranges of frequencies due to their increased bandwidth. For instance, it was shown that an NES, i.e., an essentially nonlinear absorber, can extract energy from virtually any mode of a host structure [8].…”

Section: Introductionmentioning

confidence: 99%

Generalization of Den Hartog’s Equal-Peak Method for nonlinear primary systems

Habib

Detroux

Kerschen

2014

MATEC Web of Conferences

View full text Add to dashboard Cite

Abstract. This study addresses the mitigation of one problem nonlinear resonance of a mechanical system. In view of the narrow bandwidth of the classical linear tuned vibration absorber, a new nonlinear absorber, termed the nonlinear tuned vibration absorber (NLTVA), is introduced in this paper. One unconventional aspect of the NLTVA is that the mathematical form of its restoring force is tailored according to the nonlinear restoring force of the primary system. The NLTVA parameters are then determined using a nonlinear generalization of Den Hartog's equal-peak method. The mitigation of the resonant vibrations of a Duffing oscillator is considered to illustrate the proposed developments.

show abstract

“…They examined optimization criteria other than the traditional one and obtained small improvements in steady state response by using non-linear springs. However, the presence of the non-linearities introduces dangerous instability, which in some cases may result in amplification rather than reduction of the vibration amplitudes [11,12]. Natsiavas [13] applied the method of averaging to investigate the steady state oscillations and stability of nonlinear dynamic vibration absorbers.…”

Section: Introductionmentioning

confidence: 99%

Non-Linear Analysis of Vibrations of Non-Linear System Subjected to Multi-Excitation Forces via a Non-Linear Absorber

El-Ghareeb¹,

Hamed²,

Elkader³

2012

View full text Add to dashboard Cite

The dynamic response of mechanical and civil structures subjected to high-amplitude vibration is often dangerous and undesirable. Sometimes controlled vibration is desirable as in the machinery used in the formation of rigid hard material as Ceramics and diamond. This process is done via the passive control methods. The main purpose of this paper is to how reduction of vibration of nonlinear system subjected to multi-excitation forces via a nonlinear absorber. The nonlinear differential equations describing the model, which describe ultrasonic cutting machine are solved by using perturbation method. The effects of different parameter on the response of the system are studied. The stability of the numerical solution is investigated by using frequency response equations and phase-plane method. The simulation results are achieved using Matlab and Maple programs. A comparison is made with the available published work.

show abstract

On the response of the non-linear vibration absorber

Cited by 101 publications

References 11 publications

A Review of Nonlinear Dynamics of Mechanical Systems in Year 2008

A Review of Nonlinear Dynamics of Mechanical Systems in Year 2008

Generalization of Den Hartog’s Equal-Peak Method for nonlinear primary systems

Non-Linear Analysis of Vibrations of Non-Linear System Subjected to Multi-Excitation Forces via a Non-Linear Absorber

Contact Info

Product

Resources

About