Analysis of Vibrating Circular Plates Having Non-Uniform Constraints Using the Modal Properties of Free-Edge Plates: Application to Bolted Plates

Amabili, Marco; Pierandrei, R.; Frosali, Giovanni

doi:10.1006/jsvi.1997.1054

Cited by 28 publications

(23 citation statements)

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“…These studies also address circular plates completely submerged in an in"nite #uid domain. Experiments con"rming the results of references [24,25] have been performed by Amabili et al [26]. Kwak and Amabili [27] extended this study to annular plates, successfully comparing the theoretical and experimental results.…”

Section: Introductionmentioning

confidence: 68%

Vibrations of Circular Plates Resting on a Sloshing Liquid: Solution of the Fully Coupled Problem

Amabili¹

2001

Journal of Sound and Vibration

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Section: Introductionmentioning

confidence: 68%

Vibrations of Circular Plates Resting on a Sloshing Liquid: Solution of the Fully Coupled Problem

Amabili¹

2001

Journal of Sound and Vibration

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“…(2). Effect of translational stiffness parameter, 11 T on first natural frequency parameter, k for = 10 . b=1.0 Fig.…”

Section: Resultsmentioning

confidence: 99%

“…Mathematica computer software was used in obtaining the results for first frequency values of this circular plate. 11 .…”

Section: Discussionmentioning

confidence: 99%

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Vibrations of Elastically Restrained Circular Plates Resting on Partial Winkler Foundation

Rao¹,

Rao²

2009

TOACOJ

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This work describes a study of vibration characteristics of thin circular plates with elastic edge support and resting on partial Winkler-type elastic foundation. The foundation is described by the Winkler model, which is called as single parameter foundation. The exact analytical method is used to derive the frequency equation of the circular plate with elastic edge support-conditions and resting on partial elastic foundation system. Parametric investigations on the behavior of circular plates with elastic edge support and resting on partial elastic foundation have been carried out with respect to various values of transverse stiffness parameter, foundation parameter for a variety of boundary conditions. Extensive data is tabulated so that pertinent conclusions can be arrived at on the influence of translational edge restraint, and the foundation modulus parameters of the Winkler foundation on the natural frequencies of uniform isotropic circular plates. A comparison of the results obtained here in this paper with those available in the literature shows an excellent agreement.

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“…A rigid joint between two components can be approximated by inserting artificial springs of large stiffness, while flexible joints may be simulated by assigning the representative stiffness value for the joint [15]. Several studies have also considered the effect of partial constraints and stiffness non-uniformity [16][17][18][19] on the out-of-plane vibrations of plates. It is found that partial constraints cause frequency parameters to split into symmetric and anti-symmetric frequencies corresponding to each mode [16].…”

Section: Introductionmentioning

confidence: 99%

In-Plane free Vibration Analysis of an Annular Disk with Point Elastic Support

Bashmal

Bhat

Rakheja

2011

Shock and Vibration

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Abstract. In-plane free vibrations of an elastic and isotropic annular disk with elastic constraints at the inner and outer boundaries, which are applied either along the entire periphery of the disk or at a point are investigated. The boundary characteristic orthogonal polynomials are employed in the Rayleigh-Ritz method to obtain the frequency parameters and the associated mode shapes. Boundary characteristic orthogonal polynomials are generated for the free boundary conditions of the disk while artificial springs are used to account for different boundary conditions. The frequency parameters for different boundary conditions of the outer edge are evaluated and compared with those available in the published studies and computed from a finite element model. The computed mode shapes are presented for a disk clamped at the inner edge and point supported at the outer edge to illustrate the free in-plane vibration behavior of the disk. Results show that addition of point clamped support causes some of the higher modes to split into two different frequencies with different mode shapes.

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Analysis of Vibrating Circular Plates Having Non-Uniform Constraints Using the Modal Properties of Free-Edge Plates: Application to Bolted Plates

Cited by 28 publications

References 0 publications

Vibrations of Circular Plates Resting on a Sloshing Liquid: Solution of the Fully Coupled Problem

Vibrations of Circular Plates Resting on a Sloshing Liquid: Solution of the Fully Coupled Problem

Vibrations of Elastically Restrained Circular Plates Resting on Partial Winkler Foundation

In-Plane free Vibration Analysis of an Annular Disk with Point Elastic Support

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