Parallel computational methods on structural mechanics analysis
Abstract
A number of parallel computational methods are developed in the present study to solve structural mechanics problems. A parallel Gaussian elimination solution scheme is first introduced to solve a large system of linear algebraic equations. Then, parallelization of the nonlinear finite element solution procedures is achieved by incorporating the above parallel Gaussian elimination technique. A two dimensional large truss structure with both material and geometric nonlinearities is analyzed to demonstrate the speedup of a solution by two parallel stages, i.e., the repeated forming of the nonlinear global stiffness matrix and the solving of the global system of equations. Parallel algorithms are also developed by introducing orthogonal functions to solve two dimensional boundary value problems. The problems governed by second order and by fourth order differential equations with regular geometrical domains are discussed. Finally, the inherent parrallelism of the boundary element method is shown. The boundary element is simulated by assuming the linear variation of displacements and tractions within a straight line element. Moreover, MACSYMA symbolic program is employed to obtain the analytical results for influence coefficients. The linear speedups and high efficiencies are shown in each proposed parallel processing technique and parallel numerical algorithm for solving demonstrated problems on Sequent Balance 21000 and Symmetry S81 parallel computing systems.
Degree
Ph.D.
Advisors
Sun, Purdue University.
Subject Area
Aerospace materials
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