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This book provides a comprehensive overview of analytical methods for solving optimization problems, covering principles and mathematical techniques alongside numerical solution routines, including MAPLE and MAXIMA optimization routines.
Scaling Methods. Optimality of Michell Structures and membrane shells.- One-Dimensional Variational Methods. Optimization of twisted spherical shell.- Methods of Domain Variations for Shape Optimization.- Methods of Local Variations. Topological derivatives and Bubble Methods.- Methods of Tensor Transformations for Anisotropic Medium.- Methods of Differential Geometry. Optimal distributions of the residual stresses.- Integral Equation Methods. Optimization of stiffeners and needle-shaped inclusions.- Isoperimetric Inequalities. Structural optimization problems of stability.