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On optimum design of structures and materials

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Abstract

A survey of problems of optimum design of structures and materials is presented with the main emphasis on fundamental aspects and on current methods and capabilities for topology and shape optimization.

The methods are selected from conditions of versatility and suitability for integration into an engineering design optimization system which realizes the design process as an iterative solution procedure of a multicriterion optimization problem based on the concept of integration of finite element analysis, sensitivity analysis, and optimization by mathematical programming.

A picture of current possibilities and the present status of the field is given through a number of examples.

Sommario

Si passano in rassegna vari problemi di progetto ottimale di strutture e materiali, ponendo in particolare luce gli aspetti di base ed i più attuali procedimenti e strumenti per l'ottimizzazione della topologia e della forma.

I procedimenti presentati sono scelti tra quelli che possono essere integrati in un sistema di ottimizzazione che realizzi il processo della progettazione ingegneristica come una procedura di soluzione per successive approssimazioni di un problema di ottimizzazione multicriterio, basato sull'integrazione dell'analisi ad elementi finiti, analisi di sensibilità e ottimizzazione per mezzo della programmazione numerica.

Si presentano infine alcuni esempi volti a dare una panoramica delle attuali possibilità dell'ottimizzazione strutturale.

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  1. Institute of Mechanical Engineering, Aalborg University, DK-9220, Aalborg East, Denmark

    Niels Olhoff

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Olhoff, N. On optimum design of structures and materials. Meccanica 31, 143–161 (1996). https://doi.org/10.1007/BF00426257

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