Vibration analysis of laminated conical shells with variable thickness
08 Aug 1991-Journal of Sound and Vibration (JOURNAL OF SOUND AND VIBRATION)-Vol. 148, Iss: 3, pp 477-491
TL;DR: In this article, the effects of thickness variation on natural frequencies of laminated conical shells have been studied by using a semi-analytical finite element method, where Love's first approximation thin shell theory is used to solve the problem.
About: This article is published in Journal of Sound and Vibration.The article was published on 1991-08-08. It has received 52 citations till now. The article focuses on the topics: Shell (structure) & Radius.
Citations
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212 citations
TL;DR: In this article, the free vibration analysis of thin conical shells under different boundary conditions is carried out using the element-free kp-Ritz method, and convergence studies are performed based on the influences of the support size and the number of nodes.
157 citations
TL;DR: In this paper, the authors applied the global method of generalized differential quadrature (GDQ) for the first time to study the free vibration of isotropic conical shells.
93 citations
TL;DR: In this article, the free vibrations of a rotating truncated circular conical shell with simply-supported boundary conditions were analyzed using Love's first approximation theory, which includes the effects of initial hoop tension and the centrifugal and coriolis accelerations.
77 citations
TL;DR: In this paper, an analytical solution of Sound Transmission Loss (STL) based on Third-order Shear Deformation Theory (TSDT) was proposed to analyze the behavior of the laminated composite cylindrical shell, excited by an oblique plane sound wave.
49 citations
References
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TL;DR: In this paper, a semi-analytical approach for the vibration of conical and cylindrical shells has been proposed based on mass matrices, and good agreement has been found between theory and experiment for thin-walled circular cylinders and cones, a conecylinder combination, and a cooling tower model.
Abstract: Elemental mass matrices have been produced for the vibration of conical and cylindrical shells, based on a semi-analytical approach. Frequencies and modes of vibration have been compared with existing solutions and also with experimental results obtained from other sources. Good agreement has been found between theory and experiment for thin-walled circular cylinders and cones, a cone-cylinder combination, and a cooling tower model.
A theoretical investigation was also made on the vibration of a circular cylinder when subjected to uniform pressure.
51 citations
TL;DR: In this paper, an analysis of axisymmetric and unsymmetric free vibrational modes of right-circular conical or cylindrical shells with free edges is made.
Abstract: An analysis is made of axisymmetric and unsymmetric free vibrational modes of right‐circular conical or cylindrical shells with free edges. The shells may be either homogeneous or symmetrical sandwich, with facings and core either isotropic or specially orthotropic. Numerical results for a Rayleigh‐Ritz solution are presented and compared with experimental data for conical frustum shells of homogeneous isotropic material and of sandwich construction with specially orthotropic facings and core.
40 citations
TL;DR: In this article, an improved ring finite element analysis for shells of revolution, obtained by extending the polynomials representing the displacements, is presented, and the mass and stiffness matrices and their derivation for the elements with extended displacement functions are given.
37 citations
TL;DR: In this paper, the equations of motion derived from a Love-type theory are presented for laminated filament-wound cylindrical shells in which each layer is permitted an arbitrary fixed fiber orientation.
Abstract: The equations of motion, derived from a Love-type theory, are presented for laminated filament-wound cylindrical shells in which each layer is permitted an arbitrary fixed fiber orientation. A general method of solution is established, based upon the use of a complex finite Fourier transform. The frequency spectra of free natural vibrations are investigated for numerous single, bi- and tri-Iayered clamped or simply supported generally orthotropic shells. The effect of fiber orientation on the frequency response is found to be quite considerable in certain composite shells; for some shells the frequency is increased by a factor of 3.1 by simply choosing an optimal combination of fiber winding angles. Similar important effects are noted due to the combined action of shell heterogeneity and fiber winding angle.
36 citations
TL;DR: In this paper, a sixteen degrees of freedom ring element was proposed for natural vibration analysis of laminated cylindrical or conical shells, which has been demonstrated by typical numerical studies.
35 citations