Method of Averaging for the Tasks on Longitudinal Impact of Variable Section Rods
Authors
Gennadiy Mikhaylovich Ulitin
State Higher Education Institution Donetsk National Technical University, Donetsk
Sergey Nikolaevich Tsarenko
State Higher Education Institution Donetsk National Technical University, Donetsk
Keywords:
method of averaging, longitudinal impact, free oscillations, rod with variable cross section, voltage, strain
Abstract
The method of averaging of variable coefficients is applied to the models of longitudinal impact of variable section rods. The task of free vibrations of a rod is solved. The values of the proper frequencies for the two models: simplified and accurate ones are compared. The dependencies to determine the longitudinal strains and stresses in the rod sections are obtained. To compare the obtained results with the earlier outcomes the graphs of effort change in the impact end of conical rods for different configurations are created
Author Biographies
Gennadiy Mikhaylovich Ulitin, State Higher Education Institution Donetsk National Technical University, Donetsk
Dr. Sc. (Engineering), Professor, Head of Higher Mathematics Department
Sergey Nikolaevich Tsarenko, State Higher Education Institution Donetsk National Technical University, Donetsk
Cand. Sc. (Engineering), Associate Professor, Head of Strength of Materials Department