For the fluid coupling element fluid38 the nodes are

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Unformatted text preview: l frequencies fi,j for the first mode of vibration (j = 1 = no. of nodal circles, including the boundary) for the first three harmonic (i = 0,1,2 = no. of harmonic indices). Also determine the next highest axisymmetric frequency f0,2. See VM153 for a 3-D solution of this problem. Figure 152.1 Circular Membrane Problem Sketch Material Properties E = 30 x 106 psi υ = 0.0 ρ = 0.00073 lb-sec2/in4 α = 1 x 10-5 in/in-°F Geometric Properties a = 3 in t = 0.00005 in Loading S = 0.1 lb/in of boundary ∆T = -6.6666°F Analysis Assumptions and Modeling Notes All available lateral degrees of freedom are selected as masters (MDOF) for good theoretical comparisons. A total of 9 elements is selected for meshing. The prestress is induced by cooling the membrane. The necessary temperature difference, ∆T, is calculated from S = -E αt(∆T). ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–335 VM152 Results Comparison Target ANSYS Ratio fo,1, Hz (L.S. 1, ITER 1) 211.1 211.2 1.001 f1,1, Hz (L.S. 2...
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