Identification of Damping: Part 1, Viscous Damping

Adhikari, Sondipon; Woodhouse, J.

doi:10.1006/jsvi.2000.3391

Cited by 203 publications

(111 citation statements)

References 17 publications

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“…1(a). Such a damping system is described as "locally reacting" since the damping force depends only on the absolute motion of the individual points [12]. In case 2, however, a single viscous damper connects two distinct points of the elastic rod as shown in Fig.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…They studied the eigencharacteristics of the rod and compared the results by regarding the same system first as a continuous system and then as a discrete system. In a recent paper, Adhikari and Woodhouse [12] proposed methods to identify viscous and non-viscous damping models for vibrating systems using measured complex frequencies and mode shapes. In a recent study, Yüksel and Gürgöze [13] investigated the eigencharacteristics of continuous model of a longitudinally vibrating rod which is damped viscously by a single damper in span and fixed at both ends.…”

Section: Introductionmentioning

confidence: 99%

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Longitudinally Vibrating Elastic Rods with Locally and Non-Locally Reacting Viscous Dampers

Yüksel

Dalli²

2005

Shock and Vibration

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Abstract. Eigencharacteristics of a longitudinally vibrating elastic rod with locally and non-locally reacting damping are analyzed. The rod is considered as a continuous system and complex eigenfrequencies are determined as solution of a characteristic equation. The variation of the damping ratios with respect to damper locations and damping coefficients for the first four eigenfrequencies are obtained. It is shown that at any mode of locally or non-locally damped elastic rod, the variation of damping ratio with damper location is linearly proportional to absolute value of the mode shape of undamped system. It is seen that the increasing damping coefficient does not always increase the damping ratio and there are optimal values for the damping ratio. Optimal values for external damping coefficients of viscous dampers and locations of the dampers are presented.

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Section: Mathematical Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Longitudinally Vibrating Elastic Rods with Locally and Non-Locally Reacting Viscous Dampers

Yüksel

Dalli²

2005

Shock and Vibration

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“…Cremer and Heckl [2] concluded that 'Of the many after-effect functions that are possible in principle, only onethe so-called relaxation function -is physically meaningful.' • It has been noted that when the damping is non-viscous, forceful fitting of viscous damping may produce non-physical result, for example, a nonsymmetric coefficient matrix [23]. For linear multiple-degree-of-freedom systems, Adhikari and Woodhouse [24] have proposed a method to identify both the viscous and non-viscous parameters in equation (1) Due to its enhanced damping modelling capabilities, several authors have considered non-viscous damping models in the context of linear single-degree-offreedom as well as multiple degree-of-freedom systems.…”

Section: Introductionmentioning

confidence: 99%

On the interaction of exponential non-viscous damping with symmetric nonlinearities

Sieber

Wagg

Adhikari

2008

Journal of Sound and Vibration

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This paper studies the interaction between non-viscous damping and nonlinearities for nonlinear oscillators with reflection symmetry. The non-viscous damping function is an exponential damping model which adds a decaying memory property to the damping term of the oscillator. We consider the case of softening and hardening behaviour in the frequency response of the system. Numerical simulations of the Duffing oscillator show a significant enhancement of the resonance peaks for increasing levels of non-viscous damping parameter in the hardening case, but not in the softening case.This can be explained in the general context by an energy balance analysis of the undamped unforced oscillator, which shows that for hardening nonlinearities the growth of damping with the energy level is an order of magnitude smaller in the exponential case than in the viscous case.

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“…Such damping models, in which the damping force depends on anything other than the instantaneous generalized velocities, will be called in this paper 'non-viscous' damping models. Recently in a series of papers Adhikari and Woodhouse [4][5][6][7] have considered the problem of identification of viscous and nonviscous damping from vibration measurements. In these studies, attention was focused on the following questions:…”

Section: Introductionmentioning

confidence: 99%

Quantification of non-viscous damping in discrete linear systems

Adhikari

Woodhouse

2003

Journal of Sound and Vibration

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The damping forces in a multiple-degree-of-freedom engineering dynamic system may not be accurately described by the familiar 'viscous damping model'. The purpose of this paper is to develop indices to quantify the extent of any departures from this model, in other words the amount of 'non-viscosity' of damping in discrete linear systems. Four indices are proposed. Two of these indices are based on the nonviscous damping matrix of the system. A third index is based on the residue matrices of the system transfer functions and the fourth is based on the (measured) complex modes of the system. The performance of the proposed indices is examined by considering numerical examples. r

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Identification of Damping: Part 1, Viscous Damping

Cited by 203 publications

References 17 publications

Longitudinally Vibrating Elastic Rods with Locally and Non-Locally Reacting Viscous Dampers

Longitudinally Vibrating Elastic Rods with Locally and Non-Locally Reacting Viscous Dampers

On the interaction of exponential non-viscous damping with symmetric nonlinearities

Quantification of non-viscous damping in discrete linear systems

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