Approximate Behavior Models for Optimum Structural Design
TECHNION - ISRAEL INST OF TECH HAIFA DEPT OF CIVIL ENGINEERING
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Efficient reanalysis models, which provide high quality explicit approximations for the structural behavior, are introduced. The presented algorithms are based on a series expansion which is shown to be equivalent to a simple iteration procedure. Only the decomposed stiffness matrix, known from exact analysis of the initial design, is required to obtain the approximate expressions. Two approaches of accelerated convergence are proposed to improve the quality of the approximations a An approach where a scalar multiplier, used for scaling of the initial design, is chosen prior to the solution as the accelerating parameter b An approach where information gathered during calculations of the series coefficient is used to improve the convergence rate. Numerical examples illustrate the efficiency and the quality of the proposed approximations. A special attention is focused on reanalyses along a line, a problem typical to many optimal design procedures. The computational effort in this case is considerably reduced, since only a single independent variable is involved.
- Structural Engineering and Building Technology