Closed-form expressions are derived for the Bryan's factor of truncated spherical and conical shells through a Galerkin procedure. Results lead to the value obtained by G. H. Bryan for the case of the ring, thereby demonstrating accuracy of the method. It is shown that the Bryan's factor depends only on the shape of the structure and the modes of vibration. The material properties are required to determine the resonating frequency and the Q-factor.
Bryan's Factor for Truncated Spherical and Conical Shells
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received September 8, 2013; final manuscript received January 29, 2014; published online March 18, 2014. Assoc. Editor: Jeffrey F. Rhoads.
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Narasimhan, K. Y. (March 18, 2014). "Bryan's Factor for Truncated Spherical and Conical Shells." ASME. J. Vib. Acoust. June 2014; 136(3): 034502. https://doi.org/10.1115/1.4026674
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