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Journal ArticleDOI

Non-linear flexural vibration of orthotropic skew plates

08 Sep 1972-Journal of Sound and Vibration (Academic Press)-Vol. 24, Iss: 1, pp 115-120
TL;DR: In this article, the large amplitude (non-linear) free flexural vibration of thin, elastic, orthotropic skew plates clamped along all four edges was analyzed using the Galerkin's method.
About: This article is published in Journal of Sound and Vibration.The article was published on 1972-09-08. It has received 15 citations till now. The article focuses on the topics: Vibration of plates & Skew.
Citations
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Journal ArticleDOI
TL;DR: In this article, the non-linear static behavior of rhombic plates has been analyzed following Banerjee's hypothesis and the theoretical results were found to be in excellent agreement with those obtained from an analysis of the experimental data.
Abstract: Non-linear static behaviour of rhombic plates has been analysed following Banerjee's hypothesis (B. Banerjee, Large deflections of polygonal plates under non-stationary temperature. J. Thermal Stresses 7 , 285–292 (1984)). Calculations have been carried out for different skew angles. To test the accuracy of the theoretical results so obtained, experiments were carried out on copper and steel rhombic plates. The theoretical results were found to be in excellent agreement with those obtained from an analysis of the experimental data.

10 citations

Journal ArticleDOI
TL;DR: In this paper, the relationship between the amplitude and period of orthotropic skew plates for various aspect ratios and skew angles under two in-plane edge conditions is investigated and the validity of the Berger approximation is investigated for the problem under consideration.

6 citations

Journal ArticleDOI
TL;DR: In this article, a brief history of the analysis of large amplitude vibration is given, and nonlinearities exhibited by beams, plates, rings, and shells undergoing large amplitude vibrations are discussed.
Abstract: First, a brief history of the development of the analyses of large amplitude vibration is given. Second, nonlinearities exhibited by beams, plates, rings, and shells undergoing large amplitude vibrations are discussed. It is shown that, in case of large amplitude vibra tions, the modal equations for multilayered beams and plates are qualitatively the same as the modal equation for shells.

4 citations


Additional excerpts

  • ...FLAT PLATES: [1], [2], [3] (Rectangular, circular, elliptical, triangular, skew, sandwich type, etc....

    [...]

Journal ArticleDOI
TL;DR: In this article, a non-linear analysis of plate and shell structures under mechanical and thermal loading is presented, with the inclusion of curvature for a skew rectangular panel to analyze thermal stresses for movable edge boundary condition.

2 citations

Book ChapterDOI
TL;DR: In this paper, self-generating functions of zero, first and second order are used to investigate the effects of amplitude, geometry and material constants on the dynamic behavior of rectangular composite plates.
References
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Journal ArticleDOI
TL;DR: In this article, the Von Karman field equations for flexible oblique plates with an initial curvature are extended to a dynamical case using series of initial and additional deflections and Galerkin's procedure, the governing equation for an admissible mode time function is established using this single assumed modal deflection, and assuming built-in edge fiee to move in the inplane directions.
Abstract: Von Karman field equations for flexible oblique plates with an initial curvature are extended to a dynamical case Using series iepresentation of initial and additional deflections and Galerkin's procedure, the governing equation for an admissible mode time function is established Using this single assumed modal deflection, and assuming built-in edge fiee to move in the inplane directions, the following particular cases are discussed: buckling of an oblique plate under uniaxial compressive load, free linear vibrations of a square plate, large deflections of a uniformly loaded square plate, snap-through phenomena of a curved oblique plate under uniform transverse load, and free nonlinear vibrations A numeiical example concerning a rhombic plate is discussed in more detail The well-known fact of a decrease of the period of nonlinear vibrations with an increasing amplitude is corroborated, this relation being less pronounced for larger sweep angles

20 citations