Applying of fractal theory to the equilibrium states study of beam systems
DOI:
https://doi.org/10.15587/1729-4061.2011.1435Keywords:
Beam system, equilibrium state, fractalAbstract
The possibility of applying fractal theory to study the equilibrium of beam systems is considered in this article. The research of beam structure with finding all of its possible equilibrium states was performed by constructing the corresponding fractal imagesReferences
- Мандельброт Б. Фрактальная геометрия природы [Текст] : пер. с англ. — М. : Институт компьютерных исследований, 2002. — 656 с.
- Пьетронеро Л. Фракталы в физике [Текст] : труды VI международного симпозиума по фракталам в физике, 9-12 июля 1985 г. МЦТФ, Триест, Италия / Пьетронеро Л., Тозатти Э. — М. : Мир, 1988. — 672 с.
- Кулак М.И. Фрактальная механика материалов [Текст] / М.И. Кулак. — Мн. : Выш. Шк., 2002. — 304 с. : ил. — ISBN 985-06-0761-0.
- Пайтген Х.-О. Красота фракталов. Образы комплексных динамических систем [Текст] / Х.-О Пайтген, П.Х. Рихтер. — М., 1993. — 176 с.
- Шамровський О.Д. Розрахунок стрижневих конструкцій методом послідовних переміщень із урахуванням геометричної нелінійності [Текст] / О.Д. Шамровський, Д.М. Колесник, Ю.О. Лимаренко // Нові матеріали і технології в металургії та машинобудуванні, 2009. — № 1. — С. 78—85.
- Работнов Ю.Н. Сопротивление материалов [Текст] / Ю.Н. Работнов. — М. : Физматиз, 1962. — 455 с.
- Тимошенко С.П. Курс теории упругости [Текст] / С.П. Тимошенко. — К. : Наукова думка, 1972. — 508 с.
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