Journal ArticleDOI
A higher-order theory for free vibration of unsymmetrically laminated composite and sandwich plates—finite element evaluations
Tarun Kant,Mallikarjuna +1 more
TLDR
In this article, a refined higher-order theory for free vibration analysis of unsymmetricaliy laminated multilayered plates is presented, which accounts for parabolic distribution of the transverse shear strains through the thickness of the plate and rotary inertia effects.About:
This article is published in Computers & Structures.The article was published on 1989-01-01. It has received 92 citations till now. The article focuses on the topics: Plate theory & Rotary inertia.read more
Citations
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Journal ArticleDOI
Analytical solutions for free vibration of laminated composite and sandwich plates based on a higher-order refined theory
Tarun Kant,K. Swaminathan +1 more
TL;DR: In this paper, an analytical formulation and solutions to the natural frequency analysis of simply supported composite and sandwich plates based on a higher-order refined theory developed by the first author and already reported in the literature are presented.
Journal ArticleDOI
A Review of Refined Shear Deformation Theories for Isotropic and Anisotropic Laminated Beams
Yuwaraj M. Ghugal,R. P. Shimpi +1 more
TL;DR: A review of displacement and stress based refined theories for isotropic and anisotropic laminated plates is presented in this paper, together with their merits and demerits, where exact elasticity solutions for the plate problems are cited.
Journal ArticleDOI
A new exact analytical approach for free vibration of Reissner–Mindlin functionally graded rectangular plates
TL;DR: In this paper, an exact closed-form procedure is presented for free vibration analysis of moderately thick rectangular plates having two opposite edges simply supported (i.e. Lvy-type rectangular plates) based on the Reissner-Mindlin plate theory.
Journal ArticleDOI
High-order free vibration of sandwich panels with a flexible core
TL;DR: In this paper, a free vibration analysis of sandwich panels with a flexible core based on the high-order sandwich panel theory approach is presented, which is valid for any type of loading scheme, localized as well as distributed, and distinguish between loads applied at the upper or lower face.
Journal ArticleDOI
Hygrothermal effects on the structural behaviour of thick composite laminates using higher-order theory
TL;DR: In this paper, the static and dynamic characteristics of thick composite laminates exposed to hygrothermal environment are studied using a realistic higher-order theory developed recently, which accounts for the nonlinear variation of the in-plane and transverse displacements through the thickness, and abrupt discontinuity in slope of inplane displacements at any interface.
References
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Book
Finite element procedures in engineering analysis
Klaus-Jürgen Bathe,H. Saunders +1 more
TL;DR: Elements finis Reference Record created on 2004-09-07, modified on 2016-08-08.
Journal ArticleDOI
Bending, vibration and buckling of simply supported thick orthotropic rectangular plates and laminates
S Srinivasan,A.K. Rao +1 more
TL;DR: In this article, a unified exact analysis for the statics and dynamics of a class of thick laminates is presented, which leads to simple infinite series for stresses and displacements in flexure, forced vibration and "beam-column" type problems and to closed form characteristic equations for free vibration and buckling problems.
Journal ArticleDOI
Elastic wave propagation in heterogeneous plates
TL;DR: In this paper, a two-dimensional linear theory of motions of heterogeneous plates is deduced from the three-dimensional theory of elasticity, which is specialized to cases of symmetrically laminated aeolotropic, orthotropic and isotropic plates.
Journal ArticleDOI
Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory
J. N. Reddy,N.D. Phan +1 more
TL;DR: In this article, a higher-order shear deformation theory is used to demonstrate the natural frequencies and buckling loads of elastic plates, which accounts for parabolic distribution of the transverse shear strains through the thickness of the plate and rotary inertia.
Journal ArticleDOI
An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates
TL;DR: In this paper, a 3D linear, small deformation theory of elasticity solution by the direct method is developed for the free vibration of simply-supported, homogeneous, isotropic, thick rectangular plates.
Related Papers (5)
A High-Order Theory of Plate Deformation—Part 2: Laminated Plates
Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates
R D Mindlin,R D Mindlin +1 more