Parametric Synthesis of the Kinematics of Slot Formation in Bi-Rotary Edge Cutting Machining

The use of multiblade cutting with a cycloidal scheme of part shaping for manufacturing parts with slot structure, improves their functional performance attributes compared to parts that are machined using knurling, coiling and vibro-cutting technologies. The resulting fine through slots combined with their high- density layout in the shell, improve penetration and fineness of filtration of liquids and gases. Bi-rotary cutting with its fine finning of the surfaces can increase the performance of heat transfer systems multiple times; and when the surfaces are coated, cohesion with the part surfaces is significantly improved. A mathematical model of the slot formation process for the cycloidal scheme is proposed. A method for solving a model problem based on reducing transcendental expressions to the algebraical type is developed. The method allows the calculation of kinematic angular velocity ratio of technological rotors guaranteeing the required length of the slot in the problem of parametric synthesis with relative error up to 0.02. The method of successive approximations using an iterative algorithm is described, which guarantees obtaining any specified calculation error, other than zero.

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