Geodesic
Method of averaging for the tasks on longitudinal impact of variable section rods
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 8 (2016) no. 1, pp. 43-48 Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: method of averaging; longitudinal impact; free oscillations; rod with variable cross section, voltage; strain. 
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G. M. Ulitin; S. N. Tsarenko. Method of averaging for the tasks on longitudinal impact of variable section rods. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematika, mehanika, fizika, Tome 8 (2016) no. 1, pp. 43-48. http://geodesic.mathdoc.fr/item/VYURM_2016_8_1_a5/

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