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Journal ArticleDOI

Tautochronic Vibration Absorbers for Rotating Systems

TLDR
In this paper, an analytical and experimental investigation of the dynamic response and performance of a special type of centrifugal pendulum vibration absorber used for reducing torsional vibrations in rotating systems is described.
Abstract
This paper describes an analytical and experimental investigation of the dynamic response and performance of a special type of centrifugal pendulum vibration absorber used for reducing torsional vibrations in rotating systems. This absorber has the property that it behaves linearly out to large amplitudes, and thus experiences no frequency de-tuning. Previous analytical work on such tautochronic absorbers has considered the response, dynamic stability, and performance of single- and multi-absorber systems. In particular, it is known that these absorbers, when perfectly tuned to the order of the applied torque, do not exhibit hysteretic jumps in the response, but multi-absorber systems can experience instabilities that destroy the symmetry of their synchronous response. In this work we extend the theory to include linear de-tuning of the absorbers, which can be used as a design parameter to influence absorber performance, both in terms of rotor vibration reduction and operating range. This paper reviews the basic analysis, which employs scaling and averaging, and extends it to include the detuning. In addition, systematic experiments of systems with one and two absorbers are carried out. The experimental results are unique in that the test facility is capable of varying the excitation order, thereby allowing one to obtain order-response curves that are useful for design purposes. The experimental results are found to be in excellent agreement with the analytical predictions, and these clearly demonstrate the tradeoffs faced when selecting absorber tuning.

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Citations
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Journal ArticleDOI

Nonlinear Generalization of Den Hartog's Equal-Peak Method

TL;DR: In this paper, a nonlinear tuned vibration absorber (NLTVA) is proposed to mitigate the nonlinear resonance of a mechanical system, which is tailored according to the non-linear restoring force of the primary system.
Journal ArticleDOI

Robust design of mass-uncertain rolling-pendulum TMDs for the seismic protection of buildings

TL;DR: In this paper, the performance of a roof-garden TMD is evaluated on an SDOF structure in order to illustrate their respective advantages as well as the drawbacks inherent in their non-linear behavior.
Journal ArticleDOI

A Review of Nonlinear Dynamics of Mechanical Systems in Year 2008

TL;DR: In this paper, the authors provide an overview of a selection of topics of current interest in nonlinear dynamics and vibrations of mechanical systems, including the traditional topics of structural dynamics, rotating systems, vibration control, vehicle dynamics, and machining.
Journal ArticleDOI

Tuning for Performance and Stability in Systems of Nearly Tautochronic Torsional Vibration Absorbers

TL;DR: In this article, the authors consider the dynamic response and performance characteristics of a special class of centrifugal pendulum torsional vibration absorbers and present results that generalize these stability results to include absorbers whose dynamics differ slightly from tautochronic by varying the absorber path such that both linear and nonlinear perturbations of perfect tuning are included.
Journal ArticleDOI

A new passive rolling-pendulum vibration absorber using a non-axial-symmetrical guide to achieve bidirectional tuning

TL;DR: In this article, a vibrational absorber of the rolling-pendulum tuned mass damper type is presented that, relying on a proper 3D guiding surface, can simultaneously control the response of the supporting structure in two mutually orthogonal horizontal directions.
References
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Book

Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

TL;DR: In this article, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.

A Reflection on Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields

TL;DR: In this paper, the authors introduce differential equations and dynamical systems, including hyperbolic sets, Sympolic Dynamics, and Strange Attractors, and global bifurcations.
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Sync: The Emerging Science of Spontaneous Order

TL;DR: 'SYNC' as mentioned in this paper is a story of a DAZZLING KIND OF ORDER in the universe, the HARMONY that COMES from cyclists in SYNC.
Journal ArticleDOI

The Dynamics of n Weakly Coupled Identical Oscillators

TL;DR: In this article, the authors present a framework for analysing arbitrary networks of identical dissipative oscillators assuming weak coupling, and find dynamically invariant regions in the phase space existing purely by virtue of their spatio-temporal symmetry (the temporal symmetry corresponds to phase shifts).
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