On aspects of boundary damping for a rectangular plate

Zarubinskaya, M.A.; Horssen, Wim T. van

doi:10.1016/j.jsv.2005.09.008

Cited by 6 publications

(3 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…As vibrations cause severe damages to physical systems and structures, it is necessary to study how to reduce unnecessary noise and the vibration from these systems. In most cases the dampers are used at boundaries to control the vibration through boundary supports [4][5][6][7] and in some other cases damping is introduced along the whole domain of the system [8]. It is possible to control the oscillation amplitudes of the 2D (Two Dimensional) plates by using dampers [7].…”

Section: Introductionmentioning

confidence: 99%

“…In most cases the dampers are used at boundaries to control the vibration through boundary supports [4][5][6][7] and in some other cases damping is introduced along the whole domain of the system [8]. It is possible to control the oscillation amplitudes of the 2D (Two Dimensional) plates by using dampers [7]. Akkaya and van Horssen [9] have studied the reflection and the damping properties for a wave equation and provided interesting results in case of semi-infinite string.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

On the Energetics of a Damped Beam-Like Equation for Different Boundary Conditions

Sandilo

Sheikh

Soomro

et al. 2017

Mehran Univ. res. j. eng. technol.

View full text Add to dashboard Cite

In this paper, the energy estimates for a damped linear homogeneous beam-like equation will be considered. The energy estimates will be studied for different BCs (Boundary Conditions) for the axially moving continuum. The problem has physical and engineering application. The applications are mostly occurring in models of conveyor belts and band-saw blades. The research study is focused on the Dirichlet, the Neumann and the Robin type of BCs. From physical point of view, the considered mathematical model expounds the transversal vibrations of a moving belt system or moving band-saw blade. It is assumed that a viscous damping parameter and the horizontal velocity are positive and constant. It will be shown in this paper that change in geometry or the physics of the boundaries can affect the stability properties of the system in general and stability depends on the axial direction of the motion. In all cases of the BCs, it will be shown that there is energy decay due to viscous damping parameter and it will also be shown that in some cases there is no conclusion whether the beam energy decreases or increases. The detailed physical interpretation of all terms and expressions is provided and studied in detail.

show abstract

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the Energetics of a Damped Beam-Like Equation for Different Boundary Conditions

Sandilo

Sheikh

Soomro

et al. 2017

Mehran Univ. res. j. eng. technol.

View full text Add to dashboard Cite

show abstract

“…In several cases, damping devices can be kept through the support conditions to control vibrations through boundaries as seen in Refs. [4][5][6][7]. In Ref.…”

Section: Introductionmentioning

confidence: 99%

On Vibrations Of An Axially Moving Beam Under Material Damping

Sandilo

Malookani²,

Sheikh³

2016

IOSR

View full text Add to dashboard Cite

In this paper a materially damped linear homogeneous beam-like equation has been considered. The viscoelastic beam is simply supported at both ends, whereas general initial conditions are considered. From mechanical and physical point of view the problem describes a mathematical model of internally damped transversal vibrations of a moving conveyor belt or a viscoelastic chain drive. From Hamilton's principle, a fifth order partial differential equation (PDE) for axially moving continuum has been formulated. The axial speed of the beam is considered to be positive, constant and small compared to wave velocity, and it is also assumed that the introduced material damping is relatively small. The solutions of equation of motion are based upon a two timescales perturbation method. By application of this perturbation method, it has been shown that the material damping does in fact affect the solution responses, and it reduces the vibration and noise in the system. It has also been shown that the material damping generated in the system depends on the mode number n, which is obviously expected from mechanical point of view.

show abstract

On Laplace Transform and (In) Stability of Externally Damped Axially Moving String

Dehraj¹

2020

JMCMS

View full text Add to dashboard Cite

This paper examines an (in) stability of an axially moving string system under the effect of external (viscous) damping. The string is taken to be fixed at both ends and general initial conditions are taken into consideration. The belt (string) speed is assumed to be non-constant harmonically varying about a relatively large means speed. The external damping is also considered to be small. Mathematically, the transverse vibrations of damped axially moving string system are modeled as second order linear homogeneous partial differential equation with variable coefficients. The approximate-analytic solution of the given initial-boundary value problem has been obtained by the application of two timescales perturbation method in conjunction of with Laplace transform method. It is found out that there are infinitely many values of resonant frequency parameter that gives rise to internal resonance in the system. However, in this study only non-resonant and the fundamental resonant cases has been studied. It turned out that the mode-response and the energy of system exhibits stability under certain values of damping parameter and mode-truncation for those parametric values is not problematic.

show abstract

On aspects of boundary damping for a rectangular plate

Cited by 6 publications

References 19 publications

On the Energetics of a Damped Beam-Like Equation for Different Boundary Conditions

On the Energetics of a Damped Beam-Like Equation for Different Boundary Conditions

On Vibrations Of An Axially Moving Beam Under Material Damping

On Laplace Transform and (In) Stability of Externally Damped Axially Moving String

Contact Info

Product

Resources

About