Models of Longitudinal Collision of Rods with Nonparallel Ends
V. E. Erem’yants1,2
1Kyrgyz-Russian Slavic University, Bishkek, 720000 Kyrgyz Republic
2Institute of Science of Machines, National Academy of Sciences, Kyrgyz Republic, Bishkek, 720000 Kyrgyz Republic
Keywords: упругие стержни, продольный удар, непараллельные ударные торцы, угол непараллельности, продольные напряжения, Elastic rods, longitudinal impact, nonparallel impact ends, angle of misalignment, longitudinal stresses
Abstract
A model of the longitudinal collision of rods with nonparallel impact ends proposed by V. B. Sokolinskiy, in which the contact characteristic is described by a quadratic dependence, is considered. Longitudinal stresses in rods correspond to experimental data only at the angles of misalignment of impact ends less than 0.5°. At angles greater than 1°, the discrepancy between the theoretical and experimental results reaches 20%. The obtained values of the moment at the ends of the rods do not correspond to the experiment. A model is proposed, where the stress distribution along the radius of the contact surface of the rods obeys a linear law. The dependence of contact forces and the moment at ends of the rods on the angle of misalignment of impact ends and their local contact deformations is obtained. The changes in longitudinal stresses in the rods with time are determined. This model gives results closer to the experiment in comparison with V. B. Sokolinskiy’s model and can be used to estimate the maximum allowable angles of misalignment of the ends when designing and operating percussion systems of drilling and breaking machines.
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