Study the stress state of composite prismatic bodies with biconnected 
domain  under torsio

DOLGOV, Alexader

DOLGOVA, Iryna

English

Scientific hub Dnipro University of Technology

129  4. Кovalenko А.D. Thermoelasticity /  Kovalenko A.D.. - К.: Higher school, 1995. - 216 p. 5. Padalka V.G.  Experience of exploitation and increasing the  efficiency of the use  of the plants  "Bulat" / Padalka V.G., Gutnik G.N., Andreev А.А. and others of NAS of Ukraine. National Scientific Center of "Kharkov Physic-Mechanical Institute ", 1961. - М.: CSII-atominform, 1986. - 56 p. 6. Andreev А.А. Vacuum-arc device and coating /Andreev A.A., Sablev L.P, Shulaev V.M., Grigoriev S.N. // Library of NSC Kharkov Physic-Mechanical  Institute.- Kh., 2005. - 238 p. 7. Suzuki M. Tribological performance of a sputtered Mo2 & film in air N2, O2, H2O environments at pressures from 10 -5 Pa to 105 Pa / M. Suzuki // Journal of society of Tribologists and Lubrication Engineers, 2001. – V. 57. – № 1. – 23-29 p.   ELASTIC TORSION OF COMPOUND PRISMATIC BODIES WITH CROSS-SECTIONS OF COMPLEX SHAPE  DOLGOV Alexader1 & DOLGOVA Iryna2 1National Technical University «Dnipro Polytechnic», Dnipro, Ukraine    2Pridniprovs’ka State Academy of Building and Architecture, Dnipro, Ukraine  Purpose. Study the stress state of composite prismatic bodies with biconnected domain  under torsion  Methodology. The studies were carried out through the usage of the method of the integral (potential) representation of the Airy stress function.  Findings. For the considered boundary problem the Green function has been constructed. The problem has been reduced to the integral equations, and this affects the accuracy of the approximate solutions. The studies have been carried out for the regions which boundaries do not fully coincide with the coordinate lines of the original system that allows showing more saliently the advantage of the method. Represented the results of the numerical implementation of the algorithm. The analysis of the shear stresses has been carried out. The researches were conducted within the project GP – 498, financed by Ministry of Education and Science of Ukraine. Keywords: elastic torsion, stress, two-dimensional boundary problem, methods of integral representation References 1. Dolgov O.M. Algorithms for solving spatial and non-stationary heat conduction problems in mining / O.M. Dolgov, I.M. Dolgova // Форум гірників - 2016 : матеріали міжнар. наук.-практ. конф., 5 - 8 жовтня 2016 р. - Дніпро, 2016. - Т. 1. – С. 71-77.  2. Арутюнян Н.Х., Абрамян Б.Л. Кручение упругих тел. – М.: Физматгиз, 1963, 686 с. 130  3. Шимкович Д. Г. FEMAP & NASTRAN. Инженерный анализ методом конечных элементов – M.: ДМК Пресс, 2008. – 701 с. 4. Гавеля С.П. Періодичні задачі для пологих оболонок довільної кривизни з отворами. - ДАН УРСР, 1969, А, № 8, с.703-708. 5. Гавеля С.П. Про один спосіб побудови матриць Гріна для зчленованих оболонок. - ДАН УРСР, 1969, А, № 12, с.1107-1111. 6. Гавеля С.П. О сохранении разрешимости граничных задач теории пологих оболочек при приведении их к интегральным уравнениям. - Изв. высш. учебн. заведений. Математика, 1969, № 5, с.14-19. 7. Долгова И.М., Мельников Ю.А. Построение функций и матриц Грина для уравнений и систем эллиптического типа. – ПММ, 1978, т.42, № 4, с.695-700.   THERMOMECHANICAL BEHAVIOR OF A THICK THREE–LAYER CYLINDRICAL PANEL WITH RIGIDLY CLAMPED ENDS.  ZAVGORODNIY Andriy Mykolayiv Inter-regional Institute of Human Development «University «Ukraine», Mykolayiv, Ukraine  Purpose. To investigate the thermomechanical behavior of a thick three-layer cylindrical panel with rigidly clamped ends. Methodology. The three-dimensional connected problem of resonance vibrations and dissipative heating of a thick three-layer nonelastic cylindrical panel is investigated for the temperature independent of the temperature of the mechanical and thermophysical properties of the material by the finite element method, under the action of harmonic over time uniform pressure. Findings. By a finite element method a three-dimensional problem on the forced resonance vibrations and dissipative heating of a thick three–layer cylindrical  panel with rigidly clamped ends is solved. The nonelastic material behavior is described by a conception of the complex characteristics. It is supposed that the mechanical and thermophysical material properties do not depend on a temperature. An influence of a structural inhomogeneity on the amplitude– and temperature–frequency characteristics, on the natural frequency, maximum deflection, maximum temperature and damping coefficient of the  panel are investigated. The results of the calculations showed that the structural heterogeneity significantly influences the indicated dynamic characteristics.    Keywords: resonant vibrations, cylindrical panel, damping coefficient References 1. Hamid R. Hamidzaden, Reza N.Jazar. Vibrations of Thick Cylindrical Structurals. – New York–Dordrecht – Heidelberg – London: Springer, 2010.– 201p. 

ELASTIC TORSION OF COMPOUND PRISMATIC BODIES WITH  CROSS-SECTIONS OF COMPLEX SHAPE

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ELASTIC TORSION OF COMPOUND PRISMATIC BODIES WITH CROSS-SECTIONS OF COMPLEX SHAPE

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