Journal ArticleDOI
Dynamic analysis of shallow shells with a doubly-curved triangular finite element
M.D. Olson,G.M. Lindberg +1 more
TLDR
In this paper, an efficient dynamic analysis capability for arbitrary shallow shell structures is developed and illustrated with several applications with experimental verifications, based on a compatible, doubly-curved shallow shell element of arbitrary triangular shape which includes thickness variations.About:
This article is published in Journal of Sound and Vibration.The article was published on 1971-12-08. It has received 72 citations till now. The article focuses on the topics: Shell (structure) & Finite element method.read more
Citations
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Introduction to finite element vibration analysis
TL;DR: In this article, the finite element displacement method was used for the analysis of free vibration of plates and shells, and for the simulation of forced response and forced response analysis of rigid and flexible plates.
Journal ArticleDOI
A simple quadrilateral shell element
TL;DR: In this article, the authors describe a new four-noded quadrilateral shell element called QUAD4, which is based on isoparametric principles with modifications which relax excessive constraints.
Journal ArticleDOI
Free vibration and parametric resonance of shear deformable functionally graded cylindrical panels
Jie Yang,Hui-Shen Shen +1 more
TL;DR: In this article, the authors investigated free vibration and dynamic instability of functionally graded cylindrical panels subjected to combined static and periodic axial forces and in thermal environment, and derived a semi-analytical approach, which takes the advantages of one-dimensional differential quadrature approximation, Galerkin technique and Bolotin's method to determine the natural frequencies and the unstable regions of the panel.
Journal ArticleDOI
Free vibration of functionally graded carbon nanotube reinforced composite cylindrical panels
Maryam Mirzaei,Yaser Kiani +1 more
TL;DR: In this paper, the free vibration characteristics of composite plates reinforced with single walled carbon nanotubes are investigated and the energy-based Ritz method with Chebyshev polynomials as the basis functions is implemented.
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Vibration studies on some integral rib-stiffened plates
M.D. Olson,C.R. Hazell +1 more
TL;DR: In this paper, the first twenty-four vibration modes were predicted and measured for each plate, and detailed comparisons were presented for both frequencies and mode shapes, and good quantitative agreement was obtained in all cases.
References
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Journal ArticleDOI
A shallow shell finite element of triangular shape
TL;DR: In this paper, a conforming shallow shell finite element of arbitrary triangular shape is developed and applied to the solution of several static problems, which incorporates 36 generalized coordinates, namely the normal displacement w and its first and second derivatives plus the tangential displacements u and v and their first derivatives at each vertex.
Journal ArticleDOI
Static and dynamic applications of a high- precision triangular plate bending element
TL;DR: In this article, a fully conforming plate bending element of arbitrary triangular shape is developed and applied to the solution of several static and dynamic plate problems, including analysis of a square plate, statics of an equilateral triangular simply supported plate, and vibrations of cantilevered triangular plates.