Titlebook: Elements of Structural Optimization; Raphael T. Haftka,Zafer Gürdal Textbook 1992Latest edition Springer Science+Business Media Dordrecht

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Introduction,ced by their natural surroundings, almost instinctively perform all functions in a manner that economizes energy or minimizes discomfort and pain. The motivation is to exploit the available limited resources in a manner that maximizes output or profit. The early inventions of the lever or the pulley

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Classical Tools in Structural Optimization,ptimization. The words ‘classical tools’ are implied here to encompass the classical techniques of ordinary differential calculus and the calculus of variations. Exact solutions to a few relatively simple unconstrained or equality constrained problems have been obtained in the literature using these

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Linear Programming,he design space. The set . may be defined by equality or inequality constraints, and these constraints may assume linear or nonlinear forms. The function . together with the set . in the domain of . is called a . or a mathematical programming problem. This terminology is in common usage in the conte

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Aspects of The Optimization Process in Practice,constrained optimization algorithm, such as those discussed in Chapter 5. More often, however, the analyst will have a structural analysis package, such as a finite-element program, as well as an optimization software package available to him. The task of the analyst is to combine the two so as to b

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Sensitivity of Discrete Systems, a similar model. The analysis problem then requires the solution of algebraic equations (static response), algebraic eigenvalue problems (buckling or vibration) or ordinary differential equations (transient response). The sensitivity calculation is then equivalent to the mathematical problem of obt

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Introduction to Variational Sensitivity Analysis,ural sensitivity analyses involving systems of linear equations, eigenvalue problems, etc. However, for structural applications they have two disadvantages. First, not all methods of structural analysis lead to the type of discretized equations that are discussed in Chapter 7. For example, shell-of-

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