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Unformatted text preview: are compared to the reference at the midspan. Results Comparison
MX Twist in X-Direction ANSYS Ratio BEAM188 0.3293E-03 0.3326E-03 1.010 BEAM189 1–514 Target
0.3293E-03 0.3330E-03 1.011 ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. VM222 Figure 222.3 Warping Torsion Bar Plot Figure 222.4 Warping Torsion Bar Plot ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–515 VM223: Frequency Response of a Prestressed Beam
Reference: R. D. Blevins, Formulas for Natural Frequency and Mode Shape, Van Nostrand
Reinhold Co., New York, NY, 1979, pg. 144, eq. 8-20. Analysis Type(s): Static Analysis (ANTYPE = 0), Modal (ANTYPE = 2) Element Type(s): 2-D Elastic Beam Elements (BEAM3)
Electromechanical Transducer Elements (TRANS126) Input Listing: vm223.dat Test Case
A parallel-plate capacitor is attached to the end of a long slender beam. A DC voltage drop is applied across the
capacitor, loading the beam in tension. Compute the natural frequency of the beam.
I = B X H3 / 12 Beam moment of inertia
E = 169 X 103 µN / µm2 Modulus
D = 2332 X 10-18 kg / µm3 Density
ε0 = 8.85 X 10-6 pF / µm Free space permittivity
V = 150.162 volts Applied voltage to plate Geometric Properties
L = 150 µm Beam length
B = 4 µm Beam width
H = 2...
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