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The influence of local defects of wave generation in finite length orthotropic cylindrical shellsexposed to the longitudinal impact Влияние местных дефектов на волнообразование в ортотропных цилиндрических оболочках конечной длины при продольном ударе
In this paper, we study the effects of local variations in the thickness of orthotropic cylindrical shells exposed to the longitudinal impact by a perfectly rigid body. The appearance of these "irregularities" in the geometry can be caused by manufacturing defects and by technical requirements. In the first case, the area having shell thickness variation will be small. It can be considered using the finite-difference method. In the second case, we should deal with variable shell thickness.A Timoshenko type differential equation of the thin shell motion is used in the analysis of longitudinal and transverse motions of cylindrical shells with local variations in their thickness, if exposed to the longitudinal impact by a perfectly rigid body. Geometrically nonlinear equations take account of the thickness variation, the shift and rotatory inertia of the shell element. Equations of motion are presented as explicit finite-difference pattern. Calculations were stable in all cases. Calculations were carried out with account for the increasing impact velocity on the assumption of the infinite elasticity of the material, thus, deflections, equal to the two thicknesses of the shell, were obtained.The results are presented in the form of solutions of two-dimensional and threedimensional graphs that show a picture of a wave over the entire surface of the shell. All the figures show the location of "defects" on the surface of the shell.Heterogeneity of the stress state, caused by the process of propagation of waves of deformations in length, influences significantly the pattern of the buckling of shells. The shapes of wave formation differ from wave formation patterns in statics. The change in the geometry of thickness distribution along the shell length requires new calculations for each specific case.
Геометрически нелинейные дифференциальные уравнения продольно-поперечных движений тонкой ортотропной оболочки типа Тимошенко, учитывающие сдвиг и инерцию вращения, используются для анализа продольно -поперечных движений цилиндрических оболочек с локальными изменениями толщины при продольных ударах абсолютно твердым телом. Результаты решений представлены в виде двумерных и трехмерных графиков, отображающих картину волнообразования по всей поверхности оболочки.
The influence of local defects of wave generation in finite length orthotropic cylindrical shellsexposed to the longitudinal impact Влияние местных дефектов на волнообразование в ортотропных цилиндрических оболочках конечной длины при продольном ударе
In this paper, we study the effects of local variations in the thickness of orthotropic cylindrical shells exposed to the longitudinal impact by a perfectly rigid body. The appearance of these "irregularities" in the geometry can be caused by manufacturing defects and by technical requirements. In the first case, the area having shell thickness variation will be small. It can be considered using the finite-difference method. In the second case, we should deal with variable shell thickness.A Timoshenko type differential equation of the thin shell motion is used in the analysis of longitudinal and transverse motions of cylindrical shells with local variations in their thickness, if exposed to the longitudinal impact by a perfectly rigid body. Geometrically nonlinear equations take account of the thickness variation, the shift and rotatory inertia of the shell element. Equations of motion are presented as explicit finite-difference pattern. Calculations were stable in all cases. Calculations were carried out with account for the increasing impact velocity on the assumption of the infinite elasticity of the material, thus, deflections, equal to the two thicknesses of the shell, were obtained.The results are presented in the form of solutions of two-dimensional and threedimensional graphs that show a picture of a wave over the entire surface of the shell. All the figures show the location of "defects" on the surface of the shell.Heterogeneity of the stress state, caused by the process of propagation of waves of deformations in length, influences significantly the pattern of the buckling of shells. The shapes of wave formation differ from wave formation patterns in statics. The change in the geometry of thickness distribution along the shell length requires new calculations for each specific case.
Геометрически нелинейные дифференциальные уравнения продольно-поперечных движений тонкой ортотропной оболочки типа Тимошенко, учитывающие сдвиг и инерцию вращения, используются для анализа продольно -поперечных движений цилиндрических оболочек с локальными изменениями толщины при продольных ударах абсолютно твердым телом. Результаты решений представлены в виде двумерных и трехмерных графиков, отображающих картину волнообразования по всей поверхности оболочки.
The influence of local defects of wave generation in finite length orthotropic cylindrical shellsexposed to the longitudinal impact Влияние местных дефектов на волнообразование в ортотропных цилиндрических оболочках конечной длины при продольном ударе
Mukhutdinov Rustem Faritovich (Autor:in) / Shigabutdinov Feliks Gallyamovich (Autor:in)
2013
Aufsatz (Zeitschrift)
Elektronische Ressource
Unbekannt
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