Dynamic stability of rectangular laminated composite plates
TL;DR: In this paper, the dynamic stability of rectangular layered plates due to periodic in-plane load is studied using the finite strip method, and the problem is reduced to that of one with finite degrees of freedom.
About: This article is published in Computers & Structures.The article was published on 1986-01-01. It has received 107 citations till now. The article focuses on the topics: Finite strip method.
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TL;DR: In this paper, a dynamic stability analysis of carbon nanotube-reinforced functionally graded (CNTR-FG) cylindrical panels under static and periodic axial force by using the mesh-free kp-Ritz method is presented.
185 citations
Cites background from "Dynamic stability of rectangular la..."
...Srinivasan and Chellapandi [3] investigated dynamic stability of laminated rectangular plates due to periodic in-plane load....
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TL;DR: In this article, the instability of composite laminated plates under uniaxial, harmonically-varying, in-plane loads is investigated, both symmetric cross-ply and antisymmetric angle-ply laminates are analyzed.
114 citations
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TL;DR: In this paper, a higher order shear deformation theory is used to investigate the instability associated with composite plates subject to dynamic loads, both transverse shear and rotary inertia effects are taken into account.
95 citations
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TL;DR: In this article, the authors reviewed most of the recent research done in the field of dynamic stability/ dynamic instability/ parametric excitation /parametric resonance characteristics of structures with special attention to parametric resonance properties of plate and shell structures.
Abstract: This paper reviews most of the recent research done in the field of dynamic stability/ dynamic instability/ parametric excitation /parametric resonance characteristics of structures with special attention to parametric excitation of plate and shell structures. The solution of dynamic stability problems involves derivation of the equation of motion, discretization and determination of dynamic instability regions of the structures. The purpose of this study is to review most of the recent research on dynamic stability in terms of the geometry (plates, cylindrical, spherical and conical shells), type of loading (uniaxial uniform, patch, point loading ….), boundary conditions (SSSS, SCSC, CCCC ….), method of analysis (exact, finite strip, finite difference, finite element, differential quadrature and experimental ….), the method of determination of dynamic instability regions (Lyapunovian, perturbation and Floquet’s methods ), order of theory being applied (thin, thick, 3D, nonlinear….), shell theory used (Sanders’, Love’s and Donnell’s), materials of structures (homogeneous, bimodulus, composite, FGM….) and the various complicating effects such as geometrical discontinuity, elastic support, added mass, fluid structure interactions, non-conservative loading and twisting etc. The important effects on dynamic stability of structures under periodic loading have been identified and influences of various important parameters are discussed. Review on the subject for non-conservative systems in detail will be presented in Part-2.
94 citations
Cites methods from "Dynamic stability of rectangular la..."
...Srinivasan and Chellapandi [55] analyzed thin laminated rectangular plates under uniaxial loading by the finite strip method....
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TL;DR: In this paper, the dynamic instability of simply supported, finite-length, circular cylindrical shells subjected to parametric excitation by axial loading is investigated analytically.
Abstract: The dynamic instability of simply supported, finite-length, circular cylindrical shells subjected to parametric excitation by axial loading, is investigated analytically. The shell is taken to be orthotropic, due to closely spaced longitudinal and/or circumferential stiffeners or to many layers of fiber-reinforced composite material either oriented at angles of 0° and 90° (cross-ply) or at +θ and −θ (angle-ply) with respect to the shell axis. The theory used is a general first-order shear deformable shell theory introduced by Hsu, Reddy, and Bert; it can be considered to be the thick-shell version of the popular Sanders-Koiter thin-shell theory. By means of tracers, this theory can be reduced to thick-shell versions of the theories of Love (and Loo) and of Donnell (and Morley). Quantitative results are presented to show the effects of shell geometry, materials, and fiber orientation on the stability boundaries.
90 citations
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TL;DR: Stiffened rectangular plates parametric instability under in-plane sinusoidal dynamic forces, using mathematical model with stiffeners as discrete elements as discussed by the authors, using stiffener as discrete element.
Abstract: Stiffened rectangular plates parametric instability under in-plane sinusoidal dynamic forces, using mathematical model with stiffeners as discrete elements
42 citations