Vibration Characteristics of Conical Shell Panels With Three-Dimensional Flexibility-Reference-Cited by-同舟云学术

Vibration Characteristics of Conical Shell Panels With Three-Dimensional Flexibility

Published:1999-10-21 Issue:2 Volume:67 Page:314-320
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Liew K. M.¹,Feng Z. C.²

Affiliation:

1. Centre for Advanced Numerical Engineering Simulations, School of Mechanical and Production Engineering, Nanyang Technological University, Singapore 639798

2. Department of Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139

Abstract

A first known investigation on the three-dimensional vibration characteristics of conical shell panels is reported. A linear frequency equation is derived based on an exact three-dimensional, small-strain, linearly elastic theory. Sets of one and two-dimensional polynomial series are employed to approximate the spatial displacements of the conical shell panels in three dimension. The perturbation of frequency responses due to the variations of relative thickness L/h, slanted length L/S, vertex angle γv, and subtended angle γo is investigated. First known frequency parameters and three-dimensional deformed mode shapes of the conical shell panels are presented in vivid graphical forms. The new results may serve as benchmark references for validating the new refined shell theories and new computational techniques. [S0021-8936(00)02302-3]

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/67/2/314/5466715/314_1.pdf

Reference18 articles.

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2. Librescu, L., 1975, Elastostatics and Kinematics of Anisotropic and Hetrogenerus Shell-Types Structures, Noordhoff, Leyden.

3. Liew, K. M., Lim, C. W., and Kitipornchai, S., 1997, “Vibration of Shallow Shells: A Review With Bibliography,” ASME Appl. Mech. Rev., 50, pp. 431–444.

4. Love, A. E. H. , 1888, “Small Free Vibrations and Deformations of Thin Elastic Shells,” Philos. Trans. R. Soc. London, Ser. A, 179, pp. 491–549.

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