The first main problem of the theory of elasticity in a space with N parallel circular cylindrical cavities

• Дата: 2018
• Автор: Мірошніков, В. Ю.
• Формат: Стаття
• Мова: Ukrainian
• Опубліковано: Journal of Mechanical Engineering 2018
• Теми: cylindrical cavities in space; Lame's equation; generalized Fourier method; УДК 539.3; цилиндрические полости в пространстве; уравнения Ламе; обобщенный метод Фурье; циліндричні порожнини в просторі; рівняння Ламе; узагальнений метод Фур’є
• Онлайн доступ: https://journals.uran.ua/jme/article/view/121483
• Назва журналу: Journal of Mechanical Engineering

This article presents an analytic-numerical solution of the first BASIC spatial problem of the theory of elasticity (on the boundary of a stressed one) for several parallel circular, cylindrical hollows in an elastic space. As an example, a numerical analysis of the stress-strain state of space with two empty spaces and the Mutual Influence of the voids are presented. For two parallel cylindrical cavities in a space a stressful state is found. Results are obtained with a single load of the first cylinder, separately when the load of the second cylinder. By changing the distance between the cylinders, the effect of distance on the tensile state of cylindrical cavities has been investigated. The method of solving the problem of elasticity theory is proposed, when the stresses are given on the boundaries of several parallel cylinder circular cavities. Numerical studies of an algebraic system for two cylinders make it possible to assert that its solution can be with any degree of accuracy found by the method of reduction. The graphs given give an idea of the peculiarities of the distribution of displacement and stress in the body in the most interesting area adjacent to the cavities, and on the mutual influence of cylinder cavities.