Effect of deformation on the stress-strain state of a honey extraction centrifuge flexible thread

Abstract

Composite materials are becoming increasingly useful in engineering practice. They allow considering work aspects in the elastoplastic field. This is especially important for the systems that are modeled on geometric non-linearity. These systems include constructions which bearing capacity is provided by flexible threads, such as wires in bee honeycombs. An example of such a construction is the described centrifuge for honey or beebread mass extraction from a honeycomb (honey extractor), using frames for honeycombs with reinforced flexible wire. Comparative studies were conducted using previously tested computer programs based on the methods of linear and non-linear calculation of flexible wires. The deformation values of flexible wires were determined with consideration of the rotation frequency of the centrifuge rotor. The diagrams of changes in maximum expansion stresses, elongation of the wire, sagging of the flexible wire, the moment of inertia of the elastic body, equivalent loads for the methods of linear and non-linear calculation of flexible wires at different rotor rotation frequency were developed. When modeling objects with a rotating flexible wire, it is possible to use methods of both physically non-linear calculation and more simple and accessible linear calculation. Using the latter method, the calculation results should be divided by nonlinearity coefficient.

Mathematical Modeling of the Operation of Bended Rigid Threads Under Impact

“…Рассмотрим нить конечной жесткости пролетом l, подверженной горизонтальному поперечному удару телом, имеющим массу m и скорость υ в первоначальный момент соударения [7]. В процессе удара скорость за очень короткий промежуток времени изменяется и в взаимодействия падает до нуля, следовательно, на ударяющее тело действует кратковременная сила инерции [8]. По закону равенства действующих и противодействующих сил на нить передается такая же сила, но обратно направленная, обозначим ее q [9].…”