Journal ArticleDOI
Static and dynamic stability of variable thickness annular plates
V. Mermertaş,H.T. Belek +1 more
TLDR
In this paper, the static and dynamic stability of variable thickness annular plates subject to periodic in-plane forces is studied using a sector finite element model with the wave propagation technique of cyclic symmetry, and the instability regions are determined for a wide range of excitation frequencies with different boundary conditions by using Bolotin's method with the effect of static forces taken into account.About:
This article is published in Journal of Sound and Vibration.The article was published on 1990-09-22. It has received 13 citations till now. The article focuses on the topics: Finite element method.read more
Citations
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Journal ArticleDOI
Research Advances in the Dynamic Stability Behavior of Plates and Shells: 1987–2005—Part I: Conservative Systems
Shishir Kumar Sahu,P.K. Datta +1 more
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.
Journal ArticleDOI
Dynamic stability of radially stiffened annular plates
V. Mermertaş,H.T. Belek +1 more
TL;DR: In this article, the dynamic stability of radially stiffened annular plates with both edges subjected to in-plane forces is studied and the instability regions are determined for a wide range of exciting frequencies with different boundary conditions by varying the number and size of the stiffeners.
Journal ArticleDOI
Static stability of laminated composite circular plates with holes using shear deformation theory
TL;DR: In this paper, the behavior of laminated composite circular plates having circular holes and subjected to uniform radial load is investigated by using the finite element method and a finite element analysis program was developed to analyze static stability.
Journal ArticleDOI
Dynamic stability of a moving rectangular plate subject to in-plane acceleration and force perturbations
Heow Pueh Lee,T.Y. Ng +1 more
TL;DR: In this article, the equation of motion of a rectangular plate with four free edges subject to a prescribed in-plane acceleration is formulated based on Hamilton's principle and the assumed mode method, and instability regions are determined by converting the resulting equations of motion to the standard form of a generalized eigenvalue problem.
Journal ArticleDOI
Vibration of tapered thickness annular sector plates by spline element method
Tomisaku Mizusawa,K. Takami +1 more
TL;DR: In this article, the spline element method was used for the determination of the vibrations of thin annular sector plates of tapered thickness by using spline elements and good accuracy was obtained.
References
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Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Journal ArticleDOI
Dynamic Stability of Elastic Systems
Journal ArticleDOI
A finite element study of harmonic wave propagation in periodic structures
Ruth M. Orris,Maurice Petyt +1 more
TL;DR: In this article, a method is presented for using the finite element technique to evaluate the phase constant of an arbitrary periodic structure, which is applied to two types of periodic construction, a periodically supported infinite beam and a skin rib structure.
Journal ArticleDOI
Free vibration and transient response of thick and thin plates using the finite element method
TL;DR: In this paper, an isoparametric quadrilateral plate bending element is used for the free and forced vibration analysis of both thick and thin plates, and the element performance is assessed by comparison with analytical solutions based on Mindlin's thick plate theory, three-dimensional elasticity solutions and solution based on thin plate theory.
Journal ArticleDOI
Standing waves in rotationally periodic structures
TL;DR: In this paper, a rotationally periodic structure consisting of a finite number of identical sub-structures forming a closed ring is considered, and all the modes can be found from matrix analyses of a single sub-structure.
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Lien Wen Chen,J.-R. Hwang +1 more