Figure 561 hyperelastic thick cylinder problem sketch

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Unformatted text preview: the inertial effects resulting from the rotation of the cylinder. Results Comparison Target ANSYS Ratio 52.75 52.01 0.986 52.75 51.80 0.982 SHELL63 f, Hz SOLSH190 f, Hz ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–129 VM55: Vibration of a Stretched Circular Membrane Overview Reference: S. Timoshenko, D. H. Young, Vibration Problems in Engineering, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1955, pg. 439, eq. 182. Analysis Type(s): Static Analysis (ANTYPE = 0) to Prestress Structure Mode-frequency Analysis (ANTYPE = 2) Element Type(s): Axisymmetric Structural Shell Elements (SHELL51) Input Listing: vm55.dat Test Case A circular membrane of radius a, thickness t, and weight per unit area w is simply supported along its edge and subjected to an in-plane radial load of T lb/unit length of circumference. Determine the radial stress σr in the membrane and the first three natural frequencies fi of lateral vibration of the membrane. Figure 55.1 Material Properties E = 30 x 106 psi w = 0.0028178 lb/in2 G...
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This note was uploaded on 12/09/2010 for the course DEPARTMENT E301 taught by Professor Kulasinghe during the Spring '09 term at University of Peradeniya.

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