Developing a Calculation Technique for Thermoelastic Rods under Dynamic Loading

Kikvidze O.G. Sakhvadze G.Z. Minadze E.K. Brzhanov R.T.
December 2021 Pleiades journals

Journal of Machinery Manufacture and Reliability
2021 #50 Issue 7 575 - 583 pp.

Abstract: Elastic rod elements the axial line of which in the natural state is a planar curve that remains plane after loading are considered. The following assumptions are used: transverse normal cross sections, planar before deformation, preserve their plane shape and normal orientation to the deformed thermoelastic axial line after deformation; the temperature field is stationary and nonuniform. The nonlinear equations of rod motion are derived with account for the rotational inertia of the cross section and the extensibility of the axial line. As a special case, the equations of small free oscillations of straight rods are written out and the natural frequencies are determined. The effect of the temperature gradient on the first natural frequency is investigated. The numerical calculations are carried out in the mathematical software Mathcad.

dynamic loading , natural frequency , temperature gradient , thermoelastic rod

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Tsereteli State University, Kutaisi, Georgia
Mechanical Engineering Research Institute of the Russian Academy of Sciences, Moscow, Russian Federation
Yessenov University, Aktau, Kazakhstan

Tsereteli State University
Mechanical Engineering Research Institute of the Russian Academy of Sciences
Yessenov University

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