Numerous theoretical investigations on the natural frequencies for complete spherical shells have been reported over the past four decades. However, attempts at correlating the theoretical results with either experimental or simulated results (both for axisymmetric and nonaxisymmetric modes of vibration) are almost completely lacking. In this paper, natural frequencies and mode shapes obtained from axisymmetric and nonaxisymmetric theories of vibration of complete spherical shells and from finite element computer simulations of the vibrations, with and without geometrical imperfections, are presented. Modal tests reported elsewhere on commercially available, thin spherical marine floats (with imperfections) are then utilized as a basis for comparison of frequencies to both the theoretical and numerical results. Because of the imperfections present, “splitting” of frequencies of nonaxisymmetric modes is anticipated. The presence of this frequency splitting phenomenon is demonstrated. In addition, results of a “whole field” measurement on one of the imperfect shells using dynamic holography are presented.
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June 2007
Technical Papers
Vibrations of Complete Spherical Shells With Imperfections
Michael L. Steinzig,
Michael L. Steinzig
Technical Staff Member
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Kimberly Coleman
Kimberly Coleman
B.S. Candidate, Civil Engineering
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Thomas A. Duffey
Consulting Engineer
Jason E. Pepin
Technical Staff Member
Amy N. Robertson
Consulting Engineer
Michael L. Steinzig
Technical Staff Member
Kimberly Coleman
B.S. Candidate, Civil Engineering
J. Vib. Acoust. Jun 2007, 129(3): 363-370 (8 pages)
Published Online: February 1, 2007
Article history
Received:
June 26, 2006
Revised:
February 1, 2007
Citation
Duffey, T. A., Pepin, J. E., Robertson, A. N., Steinzig, M. L., and Coleman, K. (February 1, 2007). "Vibrations of Complete Spherical Shells With Imperfections." ASME. J. Vib. Acoust. June 2007; 129(3): 363–370. https://doi.org/10.1115/1.2731415
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