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 slanted length vertex angle and subtended angle 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]
Vibration Characteristics of Conical Shell Panels With Three-Dimensional Flexibility
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Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, April 4, 1998; final revision, October 21, 1999. Associate Technical Editor: A. Ferri. Discussion on the paper should be addressed to the Technical Editor, Professor Lewis T. Wheeler, Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
Liew, K. M., and Feng, Z. C. (October 21, 1999). "Vibration Characteristics of Conical Shell Panels With Three-Dimensional Flexibility ." ASME. J. Appl. Mech. June 2000; 67(2): 314–320. https://doi.org/10.1115/1.1304911
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