Free Vibration Analysis of Cylindrical Shells Supported on Parts of the Edges

Kandasamy, S.; Singh, Anand

doi:10.1061/(asce)0893-1321(2010)23:1(34)

Cited by 7 publications

(2 citation statements)

References 9 publications

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“…Substituting equation (23) into equation (24) and eliminating the circumferential displacementṽ yields…”

Section: Governing Differential Equationsmentioning

confidence: 99%

“…Gulgazaryan et al 23 investigated the vibrations of a thin elastic orthotropic circular closed cylindrical shell with free and hinge-mounted ends and of an open cylindrical shell with free and hinge-mounted edges, when the two boundary generatrices are hingemounted. Kandasamy and Singh 24 presented the free vibration analysis of open skewed circular cylindrical shells supported only on selected segments of the straight edges by means of numerical methods. Wang et al 25,26 investigated the nonlinear dynamic response of a cantilever rotating circular cylindrical shell subjected to a harmonic excitation about one of the lowest natural frequency and the nonlinear dynamic response in forced oscillations of a third-order nonlinear partial differential system with the method of harmonic balance.…”

Section: Introductionmentioning

confidence: 99%

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Free vibration analysis of open circular cylindrical shells by the method of reverberation-ray matrix

Tang

Sun

Yao

et al. 2016

Advances in Mechanical Engineering

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This article is concerned with free vibration analysis of open circular cylindrical shells with either the two straight edges or the two curved edges simply supported and the remaining two edges supported by arbitrary classical boundary conditions. An analytical solution of the traveling wave form along the simply supported edges and the standing wave form along the remaining two edges is obtained based on the Flügge thin shell theory. With such a unidirectional traveling wave form solution, the method of reverberation-ray matrix is introduced to derive the equation of natural frequencies of the open circular cylindrical shell with various boundary conditions. Then, the golden section search algorithm is employed to obtain the natural frequencies of the open circular cylindrical shell. The calculation results are compared with those obtained by the finite element method and the method in available literature. Finally, the natural frequencies of the open circular cylindrical shell with various boundary conditions are calculated and the effects of boundary conditions on the natural frequencies are examined. The calculation results can be used as benchmark values for researchers to check their numerical methods and for engineers to design thin structures with shell components.

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“…Substituting equation (23) into equation (24) and eliminating the circumferential displacementṽ yields…”

Section: Governing Differential Equationsmentioning

confidence: 99%