On vibrations of orthotropic conical shells

Yang, Chunlei

doi:10.1016/s0022-460x(74)80182-3

Cited by 22 publications

(2 citation statements)

References 2 publications

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“…Malekzadeh and Heydarpour [2] investigated the free vibration behaviors of rotating FG truncated conical shells with different edge conditions. Goldberg et al [3] and Yang [4] analyzed the vibration of the conical shell by numerical integration. Srinivasan and Krishnan [5] presented an analysis of the dynamic behaviors for the conical panel using an integral equation technique.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration of the Blade with Variable Thickness

Jie

Zhang

Mao

2020

Mathematical Problems in Engineering

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In this paper, the nonlinear dynamic responses of the blade with variable thickness are investigated by simulating it as a rotating pretwisted cantilever conical shell with variable thickness. The governing equations of motion are derived based on the von Kármán nonlinear relationship, Hamilton’s principle, and the first-order shear deformation theory. Galerkin’s method is employed to transform the partial differential governing equations of motion to a set of nonlinear ordinary differential equations. Then, some important numerical results are presented in terms of significant input parameters.

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Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration of the Blade with Variable Thickness

Jie

Zhang

Mao

2020

Mathematical Problems in Engineering

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“…Using the finite element method, Sivadas and Ganesan [1992] analyzed the free vibration of conical shells with uniform thickness. Yang [1974] adopted the integration method in the vibration analysis of orthotropic conical shells. Tong [1993b;1993a], and Tong and Wang [1992] examined the vibration and buckling analysis of isotropic, orthotropic and laminated conical shells by the power series expansion method.…”

Section: Introductionmentioning

confidence: 99%

The determination of frequencies of laminated conical shells via the discrete singular convolution method

Cívalek

2006

JOMMS

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The discrete singular convolution (DSC) algorithm for determining the frequencies of the free vibration of laminated conical shells is developed by using a numerical solution of the governing differential equations of motion based on Love's first approximation thin shell theory. By applying the discrete singular convolution method, the free vibration equations of motion of the composite laminated conical shell are transformed to a set of algebraic equations. Convergence and comparison studies are carried out to check the validity and accuracy of the DSC method.

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Vibration analysis of conical panels using the method of discrete singular convolution

Cívalek

2006

Commun. Numer. Meth. Engng.

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SUMMARYA discrete singular convolution (DSC) free vibration analysis of conical panels is presented. Regularized Shannon's delta kernel (RSK) is selected as singular convolution to illustrate the present algorithm. In the proposed approach, the derivatives in both the governing equations and the boundary conditions are discretized by the method of DSC. Effects of boundary conditions, vertex and subtended angle on the frequencies of conical panel are investigated. The effect of the circumferential node number on the vibrational behaviour of the panel is also analysed. The obtained results are compared with those of other numerical methods. Numerical results indicate that the DSC is a simple and reliable method for vibration analysis of conical panels.

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On vibrations of orthotropic conical shells

Cited by 22 publications

References 2 publications

Nonlinear Vibration of the Blade with Variable Thickness

Nonlinear Vibration of the Blade with Variable Thickness

The determination of frequencies of laminated conical shells via the discrete singular convolution method

Vibration analysis of conical panels using the method of discrete singular convolution

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