Задачи статики и динамики анизотропных неоднородных оболочек с переменными параметрами и их численное решение (обзор)

• Дата: 2013
• Автори: Григоренко, Я.М., Григоренко, А.Я.
• Формат: Стаття
• Мова: Russian
• Опубліковано: Інститут механіки ім. С.П. Тимошенка НАН України 2013
• Назва видання: Прикладная механика
• Онлайн доступ: http://dspace.nbuv.gov.ua/handle/123456789/95499
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Задачи статики и динамики анизотропных неоднородных оболочек с переменными параметрами и их численное решение (обзор) / Я.М. Григоренко, А.Я. Григоренко // Прикладная механика. — 2013. — Т. 49, № 2. — С. 3-70. — Бібліогр.: 101 назв. — рос.

The review of works is given, which are devoted to solving the problems of the statical and dynamical deformation of the elastic shell-like bodies of complex shape made of the isotropic and anisotropic materials in the classical and refined statements. To solve the two-dimensional boundary problems and boundary value problems, the nontraditional discrete-continuum approach is utilized, which is based on the spline-approximation of unknown functions of partial differential equations with variable coefficients. This enables to reduce the initial problem to the system of one-dimensional problems, which are solving by the method of discrete orthogonalization. An analysis of numerical results on the distribution of stress and displacement fields as well as the dynamical characteristics is carried out in dependence on the form of loading and boundary conditions, geometrical and mechanical parameters of elastic bodies under consideration. The special attention is drawn to the estimating the accuracy of results in hand.