Decomposition and Reduction Techniques for Large Scale Structural Optimization
In Chapter 1 the integrated approach for analysis and optimal design of a structure was presented. It was shown that in this approach the problem is formulated in such a way that no distinction is made between analysis and design operations. The constraints include the equilibrium and compatibility conditions for each load case, which are equations, as well as the design and behavior requirements, which are inequalities. In the member sizing of structural systems, the variables consist of the section properties of the members of the structure and the behavior variables that are stresses and displacements for each load case. The objective function is the volume of the structure.
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