Unformatted text preview: th Harmonic Temperature Load
Reference: F. B. Hildebrand, Advanced Calculus for Applications, 2nd Edition, Prentice-Hall,
Inc., Englewood, NJ, 1976, pg. 447, equations 38-44. Analysis Type(s): Thermal Analysis (ANTYPE = 0) Element Type(s): Axisymmetric-Harmonic 8-Node Thermal Solid Elements (PLANE78) Input Listing: vm160.dat Test Case
A long solid cylinder has a harmonically-varying temperature load along its circumference represented by a cosine
function with positive peaks at Θ = 0° and 180° and negative peaks at Θ = 90° and 270°. Determine the temperature distribution along the radius at Θ = 0 and Θ = 90°. Figure 160.1 Solid Cylinder Problem Sketch Material Properties
k = 1 Btu/hr-ft-°F Geometric Properties
ro = 20 ft Loading
To = 80°F Analysis Assumptions and Modeling Notes
The axial length of the model is arbitrarily chosen to be 5 ft. The temperature loading is applied as a symmetric
harmonic function (Mode 2) around the periphery of the cylinder. To obtain the theoretical solution, equations
43 and 44 i...
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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