A unified formulation for vibration analysis of open shells with arbitrary boundary conditions

Ye, Tiangui; Jin, Guoyong; Chen, Yuehua; Shi, Shuangxia

doi:10.1016/j.ijmecsci.2014.02.002

Cited by 69 publications

(28 citation statements)

References 52 publications

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“…Subsequently, this method was extensively adopted for the vibration analysis of rectangular plates, circular cylindrical, conical, etc. shells with classical and non-classical boundary conditions [22][23][24][25][26][27]. Ma et al [28] investigated the active control of an elastic cylindrical shell coupled to a vibration isolation system.…”

Section: Introductionmentioning

confidence: 99%

Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions

Jin

Xiong

et al. 2014

International Journal of Mechanical Sciences

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116

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Section: Introductionmentioning

confidence: 99%

Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions

Jin

Xiong

et al. 2014

International Journal of Mechanical Sciences

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116

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“…Later, the method fast extended to cope with other structures (i.e. beams, plates, shells and coupled structures) by the Du [27][28][29][30], Jin [31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46], Wang et al [47][48][49][50][51][52] in the last ten years due to the superiority compared with other methods. The detailed theoretical analyses and mathematical principle can been seen in Refs [24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Vibrations of Composite Laminated Circular Panels and Shells of Revolution with General Elastic Boundary Conditions via Fourier-Ritz Method

Wang

Shi

Pang

et al. 2016

Curved and Layered Structures

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A Fourier-Ritz method for predicting the free vibration of composite laminated circular panels and shells of revolution subjected to various combinations of classical and non-classical boundary conditions is presented in this paper. A modified Fourier series approach in conjunction with a Ritz technique is employed to derive the formulation based on the first-order shear deformation theory. The general boundary condition can be achieved by the boundary spring technique in which three types of liner and two types of rotation springs along the edges of the composite laminated circular panels and shells of revolution are set to imitate the boundary force. Besides, the complete shells of revolution can be achieved by using the coupling spring technique to imitate the kinematic compatibility and physical compatibility conditions of composite laminated circular panels at the common meridian with θ = 0 and 2π. The comparisons established in a sufficiently conclusive manner show that the present formulation is capable of yielding highly accurate solutions with little computational effort. The influence of boundary and coupling restraint parameters, circumference angles, stiffness ratios, numbers of layer and fiber orientations on the vibration behavior of the composite laminated circular panels and shells of revolution are also discussed.

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“…Vibration behaviors of anisotropic OCCSs are analyzed by Selmane and Lakis (1997a;1997b) and Toorani and Lakis (2001). Recently, much attention has been paid to vibration analysis of laminated, composite or functionally graded OCCSs (Qatu, 2002;Singh and Shen, 2005;Qatu et al, 2010;Su et al, 2014;Ye et al, 2014b).…”

Section: Introductionmentioning

confidence: 99%

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

Yao

Tang

Pang

et al. 2016

J. Zhejiang Univ. Sci. A

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Abstract:This paper is concerned with the 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. Based on the Donnell-Mushtari-Vlasov thin shell theory, an analytical solution of the traveling wave form along the simply supported edges and the modal wave form along the remaining two edges is obtained. With such a unidirectional traveling wave form solution, the method of the reverberation-ray matrix is introduced to derive the equation of natural frequencies of the shell with different classical boundary conditions. The exact solutions for natural frequencies of the open circular cylindrical shell are obtained with the employment of a golden section search algorithm. The calculation results are compared with those obtained by the finite element method and the methods in the available literature. The influence of length, thickness, radius, included angle, and the boundary conditions of the open circular cylindrical shell on the natural frequencies is investigated. The exact calculation results can be used as benchmark values for researchers to check their numerical methods and for engineers to design structures with thin shell components.

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A unified formulation for vibration analysis of open shells with arbitrary boundary conditions

Cited by 69 publications

References 52 publications

Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions

Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions

Vibrations of Composite Laminated Circular Panels and Shells of Revolution with General Elastic Boundary Conditions via Fourier-Ritz Method

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

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