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Unformatted text preview: harmonics (i = 0, 1 = no. of harmonic indices). See VM152 for a 2-D
solution of this problem. Figure 153.1 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
A 30° sector is used with cyclic symmetry to model the membrane. The prestress is induced by uniform cooling.
The temperature difference, ∆T, is calculated from S = E αt (∆T). The low angle edge of the sector is defined as
a component for cyclic symmetry analyses. Block Lanczos is used in the modal analysis to extract the first four
frequencies. ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–337 VM153 Results Comparison
Target ANSYS Ratio fo,1, Hz 211.1 212.1 1.005 fo,2, Hz 484.7 491.7 1.014 f1,1, Hz 336.5 338.9 1.007 f1,2, Hz 616.1 629.0 1.021 1–338 ANSYS Verification Manual . ANSYS Releas...
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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.
- Spring '09
- The Land