Journal ArticleDOI
Vibration of skew plates at large amplitudes including shear and rotatory inertia effects
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TLDR
In this paper, an approach to the large amplitude free, undamped flexural vibration of elastic, isotropic skew plates is developed with the aid of Hamilton's principle taking into consideration the effects of transverse shear and rotatory inertia.About:
This article is published in International Journal of Solids and Structures.The article was published on 1978-01-01. It has received 13 citations till now. The article focuses on the topics: Skew.read more
Citations
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Nonlinear vibrations of a clamped rectangular plate with initial deflection and initial edge displacement— Part II: Experiment
N. Yamaki,K. Otomo,M. Chiba +2 more
TL;DR: Theoretical analyses for nonlinear vibrations of a clamped rectangular plate under a uniformly distributed periodic load, with the effect of both initial deflection and initial edge displacement taken into consideration, are presented in this paper.
Journal ArticleDOI
Non-linear vibration of anisotropic rectangular plates including shear and rotatory inertia.
M. Sathyamoorthy,C.Y. Chia +1 more
TL;DR: In this paper, a non-linear vibration theory for anisotropic rectangular elastic plates is proposed, which includes the effects of transverse shear deformation and rotatory inertia.
Journal ArticleDOI
Non-linear vibration of circular plates with transverse shear and rotatory inertia
C. Y. Chia,M. Sathyamoorthy +1 more
TL;DR: In this article, the effects of transverse shear deformation and rotatory inertia are included in the governing equations, and solutions are formulated on the basis of Galerkin's method and calculated using the Runge-Kutta numerical procedure.
Journal ArticleDOI
Nonlinear flexural vibration of rectangular moderately thick plates and sandwich plates
TL;DR: In this article, the fundamental equations and boundary conditions for rectangular Reissner moderately thick plates and sandwich plates are expressed in unified dimensionless form for rectangular moderately thick plate and sandwich plate.
Journal ArticleDOI
Effect of boundary condition nonlinearities on free large-amplitude vibrations of rectangular plates
TL;DR: In this paper, the effect of boundary condition nonlinearities on free nonlinear vibrations of thin rectangular plates is analyzed and the results of the calculations with nonlinear boundary conditions differ essentially from the data obtained without these boundary conditions.
References
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Journal ArticleDOI
Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates
R D Mindlin,R D Mindlin +1 more
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The effect of transverse shear deformation on the bending of elastic plates
Eric Reissner,Eric Reissner +1 more
Journal ArticleDOI
Influence of Large Amplitudes on Flexural Vibrations of Elastic Plates
TL;DR: In this paper, approximate solutions for the nonlinear bending vibrations of thin plates are presented for the cases of rectangular and circular plates subjected to various boundary conditions, and the effects of large amplitudes on both the free and forced vibrations are clarified.
Journal ArticleDOI
Influence of Large Amplitudes on Free Flexural Vibrations of Rectangular Elastic Plates
Hu-Nan Chu,George Herrmann +1 more
Journal ArticleDOI
Large-amplitude oscillations of oblique panels with an initial curvature
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.
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