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Problems and Methods of Optimal Structural Design

✍ Scribed by N. V. Banichuk (auth.), Edward J. Haug (eds.)


Publisher
Springer US
Year
1983
Tongue
English
Leaves
325
Series
Mathematical Concepts and Methods in Science and Engineering 26
Edition
1
Category
Library

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✦ Synopsis


The author offers a systematic and careful development of many aspects of structural optimization, particularly for beams and plates. Some of the results are new and some have appeared only in specialized Soviet journals, or as proΒ­ ceedings of conferences, and are not easily accessible to Western engineers and mathematicians. Some aspects of the theory presented here, such as optimizaΒ­ tion of anisotropic properties of elastic structural elements, have not been conΒ­ sidered to any extent by Western research engineers. The author's treatment is "classical", i.e., employing classical analysis. Classical calculus of variations, the complex variables approach, and the KolosovΒ­ Muskhelishvili theory are the basic techniques used. He derives many results that are of interest to practical structural engineers, such as optimum designs of structural elements submerged in a flowing fluid (which is of obvious interest in aircraft design, in ship building, in designing turbines, etc.). Optimization with incomplete information concerning the loads (which is the case in a great majority of practical design considerations) is treated thoroughly. For example, one can only estimate the weight of the traffic on a bridge, the wind load, the additional loads if a river floods, or possible earthquake loads.

✦ Table of Contents


Front Matter....Pages i-xxi
Formulation of Problems and Research Techniques in Structural Optimization....Pages 1-61
One-Dimensional Optimization Problems....Pages 63-107
Optimal Design of Elastic Plates....Pages 109-134
Optimization Problems with Unknown Boundaries in the Theory of Elasticity....Pages 135-179
Optimization of Anisotropic Properties of Elastic Bodies....Pages 181-207
Optimal Design for Problems in Hydroelasticity....Pages 209-241
Optimal Design under Conditions of Incomplete Information Concerning External Actions and Problems of Multipurpose Optimization....Pages 243-285
Back Matter....Pages 287-313

✦ Subjects


Computer Science, general


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