Also determine the heat dissipation rate q figure 581

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Unformatted text preview: 133 VM56 1. 1–134 Based on fully incompressible assumption, ν = 1/2 ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. VM57: Torsional Frequencies of a Drill Pipe Overview Reference: W. T. Thomson, Vibration Theory and Applications, 2nd Printing, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1965, pg. 272, ex. 8.4-5. Analysis Type(s): Mode-frequency Analysis (ANTYPE = 2) Element Type(s): Elastic Straight Pipe Elements (PIPE16) 3-D Elastic Beam Elements (BEAM4) Structural Mass Element (MASS21) Input Listing: vm57.dat Test Case Determine the first two natural frequencies f1 and f2 of an oil-well drill pipe of length , area A, and polar moment at inertia lp fixed at the upper end and terminating at the lower end to a drill collar with torsional mass inertia Jo. The drill collar length is small compared to the pipe length. Figure 57.1 Drill Pipe Problem Sketch Material Properties G = 12 x 106 psi υ = 0.3 γ = 490 lb/ft3 ρ = γ / g = 15.2174 lb-sec2/ft4 Geometric Prop...
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