Automation of arches calculation
DOI:
https://doi.org/10.15276/opu.2.52.2017.02Keywords:
circular arch, boundary element method (BEM), stress-strain state, MATLAB, automated calculationAbstract
The procedure of automation of calculation of the strained-deformed state of circular arches is considered in the calculation of bending and tensile-compression deformations concentrated and distributed external loads. The aim of the work is to apply the possibilities of the boundary element method (BEM) to solve quite labor-intensive tasks of the strained-deformed state of circular arches and arch structures. To achieve the goal, a static calculation of the tensely-deformed state of circular arches in the MATLAB environment is performed. For this purpose, a system of differential equations of flat deformation of a circular rod is made and solved taking into account bending and stretching deformations along radial and tangential dis-placements. As a result of the calculation, it was concluded that numerous problems in the calculation of rings and ring systems can be solved by means of the boundary element method (BEM) equation in a coherently presented method, taking into account bending and ten-sile-compression deformations.
Downloads
Author Biographies
V.F. Orobey, Odessа Polytechnic National University
DSc, Prof.
O.F. Daschenko, Odessа Polytechnic National University
Aleksander Fedorovich Dashchenko, D.Sc. (engineering), professor, Honoured Science and Engineering Worker of Ukraine, Laureate of the State Prize of Ukraine in the field of science and engineering, is Director of the Institute of Machine Building, as well as Head of the chair “Dynamics, durability of machines and strength of materials” at the Odessa National Polytechnic University. A.F. Dashchenko is a member of the National Committee of Ukraine on Theoretical and Applied Mechanics.
His main research interests lie in the field of durability, reliability, longevity of machine elements and structural parts; mechanics of materials and certification test of materials and production.
A.F. Dashchenko has published above 200 research papers including 30 monographs, textbooks and manuals, as well as 34 author’s sertificates and patents.
O.M. Lymarenko, Odessа Polytechnic National University
PhD, Assoc. Prof.
References
Строительная механика. Специальный курс. Применение метода граничных элементов/ В.А. Баженов, А.Ф. Дащенко, Л.В. Коломиец, В.Ф. Оробей – Одесса: Астропринт, 2001. – 288 c.
Прочность, устойчивость, колебания. – Т.1–3/ Под ред. И.А. Биргера, Я.Г. Пановко. – М.: Машиностроение, 1968.
Александров, А.В. Строительная механика. Тонкостенные пространственные системы / А.В. Александров, Б.Я. Лащеников, Н.Н. Шапошников. – М.: Стройиздат, 1983. – 488 с.
Orobej, V. Boundary element method in problem of plate elements bending of engineering structures / V. Orobej, L. Kolomiets, A. Lymarenko // Metallurgical and Mining Industry. – 2015. – № 4. – Р. 295 – 302.
Kolomiets, L. Method of boundary element in problems of stability of plane bending beams of rectan-gular cross section. Structures / L. Kolomiets, V. Orobey, A. Lymarenko // Metallurgical and Mining Industry. – 2016. – № 3. – P. 59 – 65.
Дарков, А.В. Строительная механика/ А.В. Дарков, Н.Н. Шапошников. – М.: Высшая школа, 1985. – 607 с.
