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Prestress Modal Analysis Problem
This chapter contains a prestress modal problem. In a prestress modal analysis, Creo Simulate calculates the natural frequencies and mode shapes of your model. Creo Simulate also automatically calculates all predefined measures. This list of measures differs based on the analysis type.
mvsp001: Prestress Modal Analysis of a Stretched Circular Membrane
Analysis Type:
Prestress Modal
Model Type:
3D
Comparison:
ANSYS
Reference:
Timoshenko, S., and Young, D.H. Vibration Problems in Engineering, 3rd Edition. D. Van Nostrand Co., Inc., New York, 1955.
Description:
Determine the first three radially symmetric, out of plane, natural frequencies of a circular membrane. Use stiffness calculated from static analysis where membrane is loaded radially. Edges are simply supported.
Specifications
Element Type:
plate
Units:
IPS
Dimensions:
radius: 15
thickness: 0.01
Material Properties:
Mass Density: 0.00073
Cost Per Unit Mass: 0
Young's Modulus: 3e7
Poisson's Ratio: 0.3
Thermal Expansion: 0
Conductivity: 0
Constraints:
edge simply supported
Loads:
radial load of 100 lb/in
Comparison of Results Data
Theory
ANSYS
% Difference
Structure
% Difference
Mode 1
94.406
94.471
0.07%
94.442
0.03%
Mode 6
216.77
217.38
0.28%
216.99
0.101%
Mode 15
339.85
342.98
0.92%
341.11
0.37%
Convergence %: 1 % on Frequency
Max P: 8
No. Equations: 994
 
* Results are only for radially symmetric modes—modes 1, 6, and 15 of the solution. These are out-of-plane modes, in other words; they appear in the profile view.