On the role of Rayleigh damping

Mohammad, Dana; Khan, Najeeb Ullah; Ramamurti, V.

doi:10.1006/jsvi.1995.0376

Cited by 37 publications

(12 citation statements)

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“…Mohammad et al [6] had done experimental work and finite element study to determine Rayleigh damping coefficient α and β to be used in modal superposition technique in order to determine the damping ratio of other modes by using Determination of Rayleigh Damping Coefficient …numerically finite element and validating the result from experiment works. This method has been found very effective in the estimation of the transient response.…”

Section: Rayleigh Dampingmentioning

confidence: 99%

“…The concept of Rayleigh damping had been introduced by Load Rayleigh in order to solve numerically on the damping problem in a vibrating system and the concept is commonly used in solving finite element problem [6]. Rayleigh damping is the simplest and convenient way to determine numerically damping matric [C] under the following form:…”

Section: Rayleigh Dampingmentioning

confidence: 99%

“…Those are the determination of damping matrix, C in the equation of motion that contains mass, M and stiffness, K is still less comprehensive compared to determination of mass and stiffness matrix. It is because predicting vibration parameters with respect to damping is difficult in practice [4,6]. Also, Woodhouse [7] stated that the main reason for this problem is because there is no universal mathematical model to represent damping forces because it is unclear which state variable force depends on.…”

Section: Introductionmentioning

confidence: 97%

See 2 more Smart Citations

Determination of Rayleigh Damping Coefficient for Natural Damping Rubber Plate Using Finite Element Modal Analysis

Yusuf¹,

Amin²

2015

InCIEC 2014

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The consideration of Rayleigh damping coefficients of α and β are an important aspect to determine damping matric in dynamic analysis. In this paper, finite element modal analysis is used on square natural damping rubber plate with various boundary conditions to determine its dynamic properties and damping coefficients α and β. Based on the finding, Rayleigh damping coefficient can be computed and different boundary conditions show different value of Rayleigh damping coefficient.

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Section: Rayleigh Dampingmentioning

confidence: 99%

Section: Rayleigh Dampingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 97%

See 1 more Smart Citation

Determination of Rayleigh Damping Coefficient for Natural Damping Rubber Plate Using Finite Element Modal Analysis

Yusuf¹,

Amin²

2015

InCIEC 2014

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“…For this reason, it is necessary to account for the structural damping rather than the artificial numerical one. A Rayleigh model [21] is chosen to describe the structural damping. Such damping is related to the damping matrix C, which can be represented as…”

Section: Structural Dampingmentioning

confidence: 99%

First-Body Versus Third-Body: Dialogue Between an Experiment and a Combined Discrete and Finite Element Approach

Renouf

Nhu

Saulot

et al. 2014

Journal of Tribology

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The present paper proposes to analyze relations between the behavior of two bodies in contact (local stress and vibration modes) and the rheology of third-body particles. Experiments are performed on a system composed of a polycarbonate disk in contact with a steel cylinder, where birefringent property of polycarbonate allows us to observe shear-stress isovalues. Multiscale numerical simulations involve the coupling between fi-nite elements and discrete elements to model simultaneously nonhomogeneous third-body flows within a confined contact and dynamical behavior of the bodies in contact. Compar-isons between experiments and simulations are performed on the dynamic response of the system, the stress distribution, as well as the evolution of third-body particles within the contact. Such comparisons exhibit not only qualitative results but also quantitative ones and suggest a new approach to study in deeper third-body rheology.

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“…In this study, the charge of the particles is fixed at 2.6 3 10 213 C, which is in the range for pharmaceutical excipient particles with the size of a few hundred microns, such as lactose. 26 Generally, Rayleigh damping, 27 which involves global damping and contact damping, are used in DEM simulations. In this analysis, only contact damping is considered.…”

Section: Dem-cfd Model For Deposition Of Monocharged Particlesmentioning

confidence: 99%

DEM‐CFD modeling of particle systems with long‐range electrostatic interactions

Chen

England

et al. 2015

AIChE Journal

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To investigate dynamic behaviors of monocharged particle systems, a direct truncation (DT) method and a hybrid particle-cell (HPC) method are implemented into the discrete element method coupled with computational fluid dynamics (DEM-CFD) with defined cutoff distances. The DT method only considers electrostatic interactions between particles within the cutoff distance while the HPC method computes electrostatic interactions in the entire computational domain. The deposition process of monocharged particles in a container in air was simulated using the developed DEM-CFD. It was found that using the DT method, the macrostructure, evolution of granular temperature, and radial distribution function of the particle system were sensitive to the specified cutoff distance. In contrast, using the HPC method, these results were independent of the specified cutoff distance, as expected. This implies that, although electrostatic interactions between particles with large separation distances are weak, they should be considered in DEM-CFD for accurate modeling of charged particle systems.

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On the role of Rayleigh damping

Cited by 37 publications

References 0 publications

Determination of Rayleigh Damping Coefficient for Natural Damping Rubber Plate Using Finite Element Modal Analysis

Determination of Rayleigh Damping Coefficient for Natural Damping Rubber Plate Using Finite Element Modal Analysis

First-Body Versus Third-Body: Dialogue Between an Experiment and a Combined Discrete and Finite Element Approach

DEM‐CFD modeling of particle systems with long‐range electrostatic interactions

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