Dzjuba A. The Elaboration of Models, Methods and Algorithms for Shell Structures Optimization with the Pontriagin's Maximum Principle Utilization

Українська версія

Thesis for the degree of Doctor of Science (DSc)

State registration number

0504U000439

Thesis Registration Form

0504U000439.pdf

Applicant for

Specialization

  • 01.02.04 - Механіка деформівного твердого тіла

18-06-2004

Specialized Academic Board

Д 08.051.10

Oles Honchar Dnipro National University

Essay

Object - shell constructions, their stiffeners and the problem of material consumption decrease. The purpose - to work out some new models, methods and algorithms for based on Pontriagin's maximum principle the optimum design of shell constructions and to investigate some properties of the structures with the optimal parameters. The methods of shells and plates theory, of optimal processes, and of numerical and experimental mechanics are used. New mathematical models, methodology and effective algorithms are worked out with the using one general approach based on Pontriagin's maximum principle. Some rather complicated problems of optimal material distribution for shell constructions are formulated and solved for needs of real engineering. Theoretical and experimental research of the structural properties with optimal parameters is carried out. The results can be considered as scientific background for prognoses and recommendations aimed at material consumption decrease for shell constructions in contemporary machine-building. The results have found their application in designing of shell's force elements for new technology constructions and in educational process for students in mechanics.

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