Discretization Methods and Structural Optimization - Procedures and Applications: Proceedings of a GAMM-Seminar October 5-7, 1988, Siegen, FRG: 42 (Lecture Notes in Engineering, 42) - Softcover

Georg Thierauf, Hans A. Eschenauer

 
9783540507840: Discretization Methods and Structural Optimization - Procedures and Applications: Proceedings of a GAMM-Seminar October 5-7, 1988, Siegen, FRG: 42 (Lecture Notes in Engineering, 42)

Inhaltsangabe

In recent years, the Finite Element Methods FEM were more and more employed in development and design departments as very fast working tools in order to determine stresses, deformations, eigenfrequencies etc. for all kinds of constructions under complex loading conditions. Meanwhile. very effective software systems have been developed by various research teams although some mathematical problems (e. g. convergence) have not been solved satisfac­ torily yet. In order to make further advances and to find a common language between mathe­ maticians and mechanicians the "Society for Applied Mathematics and Mechanics" (GAMM) agreed on the foundation of a special Committee: "Discretization Methods in Solid Mechanics" focussing on the following problems: - Structuring of various methods (displacement functions, hybrid and mixed approaches, etc. >, - Survey of approach functions (Lagrange-/Hermite-polynominals, Spline-functions), - Description of singularities, - Convergence and stability, - Practical and theoretical optimality to all mentioned issues (single and interacting). One of the basic aims of the GAMM-Committee is the interdisciplinary cooperation between mechanicians, mathematicians, and users which shall be intensified. Thus, on September 22, 1985 the committee decided to hold a seminar on "Structural Optimization" in order to allow an exchange of experiences and thoughts between the experts of finite element methods and those of structural optimization. A GAMM-seminar entitled "Discretization Methods and Structural Optimization - Procedures and Applications" was hold on October 5-7, 1988 at the Unversity of Siegen.

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Reseña del editor

In recent years, the Finite Element Methods FEM were more and more employed in development and design departments as very fast working tools in order to determine stresses, deformations, eigenfrequencies etc. for all kinds of constructions under complex loading conditions. Meanwhile. very effective software systems have been developed by various research teams although some mathematical problems (e. g. convergence) have not been solved satisfac­ torily yet. In order to make further advances and to find a common language between mathe­ maticians and mechanicians the "Society for Applied Mathematics and Mechanics" (GAMM) agreed on the foundation of a special Committee: "Discretization Methods in Solid Mechanics" focussing on the following problems: - Structuring of various methods (displacement functions, hybrid and mixed approaches, etc. >, - Survey of approach functions (Lagrange-/Hermite-polynominals, Spline-functions), - Description of singularities, - Convergence and stability, - Practical and theoretical optimality to all mentioned issues (single and interacting). One of the basic aims of the GAMM-Committee is the interdisciplinary cooperation between mechanicians, mathematicians, and users which shall be intensified. Thus, on September 22, 1985 the committee decided to hold a seminar on "Structural Optimization" in order to allow an exchange of experiences and thoughts between the experts of finite element methods and those of structural optimization. A GAMM-seminar entitled "Discretization Methods and Structural Optimization - Procedures and Applications" was hold on October 5-7, 1988 at the Unversity of Siegen.

Reseña del editor

The main subject of this GAMM-Seminar is research in the field of discretization methods and structural optimization. The topics are procedures, strategies and algorithms for structural optimization based on modern discretization techniques. In particular, sensitivity and mesh-generation, large-scale structural systems and decomposition for finite element systems are covered. Structural optimization is presented as multipurpose and multistage optimization. Optimal design and shape optimization are treated in analytical form and as an interactive process. Finally, knowledge-based algorithms for design optimization and expert systems are discussed.

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