Purpose. Establishment of dependencies of the stress-strain state of a rubber-cable rope on its mechanical parameters and geometric parameters of a part where a flat rope gets a tubular shape considering the influence of a cable base breakage. methodology. Construction of analytic models of interaction of cables within a rubber-cable rope as a composite structure, created from parallel cables regularly placed in one plane that interact through a layer of rubber, using the methods of mechanics of composite materials. Obtaining analytical dependencies in closed form for establishing the parameters of a stress-strain state of a rope in a part where it gets a tubular shape, which allows determining upper and lower boundaries of stresses in cables and in a rubber layer of a rope. Mathematical formulation of the process is based on the principles of mechanics of layered structures with hard and soft layers. findings. Two mathematical models were developed and investigated, which allows defining the boundaries of a stress-strain state of a flat rubber-cable rope which gets a spatial shape of a cylinder. Obtained results allow predicting running abilities of a rope with a high level of reliability including brakeages of its reinforcing cables. originality. Analytical dependencies for boundary values of rigidity characteristics of a rubber inter-cable layer were obtained and solved, which allows determining basic characteristics of a stress-strain state of the rope, which gets a shape of a pipe within the limited length including the case of a cable base breakage. Practical value. The possibility to determine the boundaries of a stress-strain state of a rope, prediction of its stress state in case of cable breakage during operation, allows reasonable choosing of the parameters of lifting and transporting machines, on which the rope gets a tubular shape. This increases the level of their operation safety and contributes to solving the problem of ecological compatibility of underwater oil extraction by removing the oil from the area of the well damage directly through the rope cavity, which gets a cylinder shape and which has a massive oil-receiving unit attached.
Analytical dependencies for determining the rigidity and parameters of a stress-strain state of a rubber layer located between the cables and the drum from their mutual shear are established in a closed form. A method of determining the dispersion of deviation of calculated displacements from established values of elastic shell material is developed. Obtained results allow considering the shape of an elastic layer of rubber, estimate the level of reliability of the results when calculating a stress-strain state of rubber-cable tractive elements from the shear of cables relatively to the drum. Established dependencies can be used for determining a stress-strain state of a layer of elastic material, caused by shear of cables relatively to the drum of a machine, and formulating the condition of strength of a rubber-cable tractive element loaded with shear forces on a drum. Possibility of determination of a lower boundary of the efficiency coefficient in a process of interaction of a rubber-cable rope (belt) with pulleys and drums, both driving and driven, lined with elastic materials and with hard operating surfaces, allows improving the accuracy of calculations of drives of lifting and transporting machines with such executing elements.
Особенностью подъемной машины с устройством для добычи полезных ископаемых подводным способом является наличие участка придания плоскому канату трубчатой формы, граничащего с барабаном. На нем плоская лента деформируется, в ней возникают дополнительные напряжения. Величины этих напряжений влияют на безопасность эксплуатации машины, поэтому они должны быть учтены при ее конструировании. В работе в замкнутом виде получены аналитические зависимости для определения напряженно-деформированного состояния плоского резинотросового каната, которому придана трубчатая форма. Показано, что придание плоскому канату трубчатой формы приводит к неравномерному распределению сил растяжения тросов в нем. Величины максимальных внутренних усилий зависят как от конструкции участка придания канату трубчатой формы, так и от конструктивных параметров каната. Внутренние усилия, возникающие в наиболее нагруженных крайних тросах плоского резинотросового каната на участке придания ему трубчатой формы, пропорциональны жесткости тросов каната. Они уменьшаются с ростом длины участка, возрастают с ростом расстояния между тросами и зависят от жесткости резиновой оболочки каната на сдвиг и толщины каната. Полученные выражения могут быть использованы в инженерной практике при проектировании подъемных машин с тяговым органом трубчатой формы. Выполненное исследование позволит использовать резинотросовые канаты при подводной добыче полезных ископаемых со значительных глубин и существенно повысить экологическую безопасность добычных работ. Ключевые слова: подъемная машина, плоский резинотросовый канат, трубчатая форма, напряженнодеформированное состояние, распределение напряжений и перемещений.
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