Axisymmetric free vibration of moderately thick polar orthotropic hemispherical shells are studied under the various boundary conditions with sliding, guided pin, clamped, and hinged edges. Based on the improved linear elastic shell theory with the transverse shear strain and rotatory inertia taken into account, the dynamic equlibrium equations are formulated and transformed into the displacement form in terms of mid-surface meridian and radial displacements and parallel circle cross-section rotation. These partial differential equations are solved by the Galerkin method using proper Legendre polynomials as admissible displacement functions with the aid of the orthogonality and a number of special integral relations. Natural frequencies and modes found from the eigenproblems are shown with reasonable results.
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April 1991
Research Papers
Axisymmetric Free Vibration of Thick Orthotropic Hemispherical Shells Under Various Edge Conditions
C. C. Chao,
C. C. Chao
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan, ROC
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T. P. Tung,
T. P. Tung
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan, ROC
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Y. C. Chern
Y. C. Chern
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan, ROC
Search for other works by this author on:
C. C. Chao
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan, ROC
T. P. Tung
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan, ROC
Y. C. Chern
Department of Power Mechanical Engineering, National Tsing Hua University, Hsinchu, Taiwan, ROC
J. Vib. Acoust. Apr 1991, 113(2): 152-159 (8 pages)
Published Online: April 1, 1991
Article history
Received:
July 1, 1989
Revised:
March 1, 1990
Online:
June 17, 2008
Citation
Chao, C. C., Tung, T. P., and Chern, Y. C. (April 1, 1991). "Axisymmetric Free Vibration of Thick Orthotropic Hemispherical Shells Under Various Edge Conditions." ASME. J. Vib. Acoust. April 1991; 113(2): 152–159. https://doi.org/10.1115/1.2930163
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