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Модели выгоднейшего изменения толщины тонких цилиндров при осевом сжатии

Модели выгоднейшего изменения толщины тонких цилиндров при осевом сжатии

Abstract

The paper is dedicated to stability loss in the cylinder shells having variable thickness, and the laws of thickness variation along the shell axis. A comparison is made of the axial shell forces characterized for constant or variable thickness under similar weight and dimension of shells. The study showed advantages of shells with variable thickness resulting from their weight. We proposed a new method for defining optimal standards of thicskness variation. The authors defined the law of thickness variation, which improves efficiency of shells under the axial compression.

Исследуется потеря устойчивости при осевом сжатии цилиндрических оболочек с переменной толщиной. Рассмотрен ряд законов изменения толщины вдоль оси оболочки. Сравниваются осевые критические силы оболочек с постоянной и переменной толщиной при одинаковом весе и габаритах оболочек. Показана весовая выгодность применения оболочек с переменной толщиной. Предложен метод определения оптимального закона изменения толщины. Рекомендован закон изменения толщины повышающей эффективность оболочек при осевом сжатии.

Keywords

МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ, ЦИЛИНДРИЧЕСКАЯ ОБОЛОЧКА, УСТОЙЧИВОСТЬ, ТЕОРИЯ ОБОЛОЧЕК, ОСЕВЫЕ КРИТИЧЕСКИЕ СИЛЫ, ОСЕВОЕ СЖАТИЕ, ЭФФЕКТИВНОСТЬ (ВЕСОВАЯ) ОБОЛОЧЕК, ГЕОМЕТРИЧЕСКИ НЕОДНОРОДНЫЕ ОБОЛОЧКИ

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average