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Journal ArticleDOI

On the use of a coordinate transformation for analysis of axisymmetric vibration of polar orthotropic annular plates

K. Vijayakumar, +1 more
- 22 Sep 1972 - 
- Vol. 24, Iss: 2, pp 165-175
TLDR
In this article, a coordinate transformation in the radial direction has been used to obtain effective solutions by the classical Rayleigh-Ritz method, particularly for large hole sizes, over direct analysis.
About: 
This article is published in Journal of Sound and Vibration.The article was published on 1972-09-22. It has received 32 citations till now. The article focuses on the topics: Orthotropic material & Rigidity (psychology).

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Citations
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Journal ArticleDOI

On the lateral vibration of thin annular and circular composite plates subject to certain complicating effects

C.S. Kim, +1 more
- 08 May 1989 - 
TL;DR: In this paper, a series of orthogonally generated polynomial functions are used in the Rayleigh-Ritz method to obtain an eigenvalue equation for the flexural vibration of thin, flat annular and circular plates.
Journal ArticleDOI

Natural frequencies of polar orthotropic annular plates

G.K. Ramaiah, +1 more
- 22 Feb 1973 - 
TL;DR: In this paper, the authors used the Rayleigh-Ritz method with simple polynomials as admissible functions for obtaining natural frequencies of transversely vibrating polar orthotropic annular plates.
Journal ArticleDOI

Approximate solutions and their stability of a broadband piezoelectric energy harvester with a tunable potential function

Feng Qian, +3 more
- 01 Jan 2020 - 
TL;DR: Results demonstrate that the energy harvesting performance of the proposed PEH could be effectively tuned by the pre-deformation of the spring, a criterion for solution stability analysis of congeneric nonlinear systems with coupled higher-order terms.
Journal ArticleDOI

Axisymmetric vibrations of circular plates including the effects of geometric non-linearity, shear deformation and rotary inertia

K.Kanaka Raju, +1 more
- 22 Jul 1976 - 
TL;DR: In this paper, axisymmetric vibrations of circular plates are studied, with inclusion of the effects of geometric nonlinearity, shear deformation and rotatory inertia, and the finite element method is employed to formulate the problem.
Journal ArticleDOI

Natural frequencies of circumferentially truncated sector plates with simply supported straight edges

G.K. Ramaiah, +1 more
- 08 May 1974 - 
TL;DR: In this article, the classical Rayleigh-Ritz method in conjunction with suitable co-ordinate transformations is found to be effective for accurate estimation of natural frequencies of circumferentially truncated circular sector plates with simply supported straight edges.
References
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Journal ArticleDOI

Natural Frequencies of Transversely Vibrating Uniform Annular Plates

S. M. Vogel, +1 more
- 01 Dec 1965 - 
Journal ArticleDOI

Flexural Vibrations of Cylindrically Aeolotropic Circular Plates

I. A. Minkarah, +1 more
- 01 Oct 1963 - 
TL;DR: In this paper, an analysis of the vibration of a cylindrically aeolotropic circular plate with circular stiffeners was carried out, where the effective elastic compliances had been determined in previous investigation.
Journal ArticleDOI

Natural frequencies of orthotropic circular plates

K. A. V. Pandalai, +1 more
- 01 Apr 1965 - 
Journal ArticleDOI

Vibration of Corrugated Diaphragm

Takashi Akasaka, +1 more
- 01 Jan 1957 - 
TL;DR: In this paper, the authors analyzed the vibration properties of the corrugated diaphragm under the same assumptions as the static case, and obtained the approximate formulas for the natural frequencies of symmetric and asymmetric modes including the effect of concentrated mass.