Feasibility of Applying the Finite Element Adaptive Research Solver (FEARS) Program to the Plate Bending Problem.
MARYLAND UNIV COLLEGE PARK INST FOR PHYSICAL SCIENCE AND TECHNOLOGY
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This report documents an investigation of the feasibility of the application of the Finite Element Adaptive Research Solver FEARS computer program to the Plate Bending Problem. Two methods of reducing this biharmonic problem to an elliptic system of two second order partial differential equations are considered. The first is the splitting method and the second is the transformation to the Lame system of elasticity equations. The FEARS program is used to solve these reduced systems for three examples. The results are analyzed and discussed withregard to the computation of displacements, moment, and shear forces. While the Lame system approach is well-founded theoretically, it poses some computational problems with regard to accuracy. The authors feel that the splitting method when monitored by error indicators is the preferred method for FEARS users even though the theory of this method has not been completely developed yet. Author
- Numerical Mathematics
- Computer Programming and Software