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Orthogonal Schemes for Structural Optimization,
NORTH CAROLINA STATE UNIV RALEIGH
Historically there are two principal methods of matrix structural analysis, the displacement or stiffness the force method has been used relatively little because the displacement method has been deemed easier to implement on digital computers, especially for large sparse systems. The force method has theoretical advantages, however, for multiple redesign problems or nonlinear elastic analysis because it allows the solution of modified problems without restarting the computation from the beginning. In this paper we give an implementation of the first phase of the force method which is numerically stable and preserves sparsity. A primary feature of our work is the development of an efficient algorithm for computing a banded basis for the null space by orthogonal decomposition. Numerical test comparisons for several practical structural analysis problems are provided. Author
This article is from 'Transactions of the Army Conference on Applied Mathematics and Computing (1st) Held at Washington, DC on 9-11 May 1983,' AD-A139 224, p477-485. Prepared in cooperation with Union Carbide Corp., Greenville, SC, Contract W-7405-eng-26 and Oak Ridge National Lab., TN.
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