Bunichuk, N. V. Problems and methods of optimal structural design. Transl. from the Russian by Vadim Komkov, ed. by Edward J. Haug. (English) Zbl 0649.73041 Mathematical concepts and methods in science and engineering, 26. New York - London: Plenum Press. XXI, 313 p. (TIB: RN 5975:26) (1983). 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 proceedings of conferences, and are not easily accessible to Western engineers and mathematicians. Some aspects of the theory presented here, such as optimization of anisotropic properties of elastic structural elements, have not been considered 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 Kolosov-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. Cited in 1 ReviewCited in 4 Documents MSC: 74P99 Optimization problems in solid mechanics 74-02 Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids 74S30 Other numerical methods in solid mechanics (MSC2010) 74E10 Anisotropy in solid mechanics Keywords:one-dimensional optimization problems; optimal design of elastic plates; control by varying coefficients of the equations; unknown boundaries; control by varying the boundary of the domain; optimization of anisotropic properties; hydroelasticity; conditions of incomplete information; external actions; multipurpose optimization Citations:Zbl 0649.73040; Zbl 0596.73080; Zbl 0574.73095; Zbl 0547.73075; Zbl 0544.49013; Zbl 0518.73078; Zbl 0517.73094; Zbl 0487.73109; Zbl 0461.73075; Zbl 0417.90092 PDFBibTeX XML