Abstract
The article is devoted to the conclusion of resolving equations for solving the tasks of bulging rotating rods subject to the action of compressive co-centric forces taking into account uniformly distributed load along the axis. In this mode, for example, fast-moving shafts operate. The purpose of this article is to provide an engineer with a method for calculating drill pipes, tested diagrams and justification of conditions in rotary drilling. The new mathematical models describing stability of rods taking into account own weight and new software are proposed. Numerical simulation of load intensity distributions in the rod along the axis was carried out, at the same time different types of boundary conditions of rod fixation are used. Mathematical models and software for numerical simulation of stability of rotating rods under action of axial compressive forces have been improved. Note that the effect of torsion moment in the present case may not be considered as insignificant in comparison with the above loads. A new method of calculating stability of rotating rods, allowing to take into account any boundary conditions and taking into account own weight, has been developed and scientifically justified. There are proposed mathematical expressions convenient for practical use, which give very accurate results. Obtained results can be used in evaluation and diagnostics of state of samples of structural materials, in process of experimental investigations and in investigation of fast-flowing rotating processes in rod structures of variable stiffness, made of anisotropic composite materials in machine-building, shipbuilding, aircraft engineering, instrument-making, power engineering, etc.
Highlights
The purpose of this article is to provide an engineer with a method for calculating drill pipes, tested diagrams and justification of conditions in rotary drilling
The new mathematical models describing stability of rods taking into account own weight and new software are proposed
Obtained results can be used in evaluation and diagnostics of state of samples of structural materials, in process of experimental investigations and in investigation of fast-flowing rotating processes in rod structures of variable stiffness, made of anisotropic composite materials in machine-building, shipbuilding, aircraft engineering, instrument-making, power engineering, etc
Summary
Выпучивание вращающихся стержней при действии осевых сжимающих сил с учетом собственного веса. Усовершенствованы математические модели и программное обеспечение для численного моделирования устойчивости вращающихся стержней при действии осевых сжимающих сил с учетом и без собственного веса. Где они приводят формулу для определения критической угловой скорости без учета собственного веса. А. Линевский в работе [5], используя приближенный метод, получил формулу для определения критической угловой скорости колонны при осевом сжатии с учетом ее собственного веса. Получил формулу для определения критической угловой скорости и профессор Я.Г. Считаем, что в общем случае для различных граничных условий при действии сжимающих осевых сил с учетом собственного веса исследований проведено достаточно много, но чаще всего решения представлены с очень громоздкими выкладками, что затрудняет их использование на практике рядовыми инженерами.
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