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78 ex 311 1 mode frequency seismic analysis antype 2

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Unformatted text preview: Axisymmetric-Harmonic 4-Node Structural Solid Elements (PLANE25) Input Listing: vm67.dat Test Case Determine the fundamental frequency fo of axisymmetric in-plane radial vibration and the second (extensional) harmonic frequency f2 of in-plane radial vibration of a circular ring. The cross-section of the ring is square with side length b, at a radius r to the centerline. Figure 67.1 Ring Axisymmetric Problem Sketch Material Properties E = 30 x 106 psi ρ = 0.00073 lb-sec2/in4 υ = 0.0 Geometric Properties r = 10 in b = 0.05 in ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–154 VM67 Analysis Assumptions and Modeling Notes MODE = 0 for the axisymmetric mode of vibration and MODE = 2 for the second harmonic frequency of vibration. One radial master degree of freedom (MDOF) is selected for the MODE = 0 case and one radial and one tangential MDOF is selected for the MODE = 2 case. Coupling is used to ensure mode symmetry. A local coordinate system is defined at (x,...
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