Задачи оптимизации многокомпонентных тел неоднородной структуры

Abstract

Проанализированы этапы оптимизации многокомпонентных тел неоднородной структуры: выбор моделей динамического анализа, варьируемых переменных, функционалов цели и ограничений. Методы оптимизации классифицированы, как прямые; первого и второго порядка; стохастические; линейного и нелинейного программирования. Рассмотрено применение разных видов оптимизации Super Computer Simulation and Optimization Based Design / Engineering (многомерной, структурной, топологической, параметрической, многокритериальной и т.д.).

The paper is concerned with most important phases of formation and development optimization of complex structure. A formal approach to multidisciplinary optimization of complex devices is developed. The stages of optimization of complex devices: the choice of models of analysis, design variables, functional objectives and constraints. Optimization techniques are classified as direct; the first and second order; stochastic; linear and nonlinear programming. The applications of different types of Super Computer Simulation and Optimization Based Design / Engineering (multidimensional, structural, topological, parametric, multicriteria) are shown. On the basis of a mathematical model that takes into account the spatial and temporal fields of different nature (electrical, magnetic, elastic deformation, mechanical and thermal) with use of optimization genetic algorithms and the flexible polyhedron method, the complex structure is developed, which is characterized of reduced weight and size and high efficiency.