Nonlinear Mathematical Model of Oscillation Processes of Spatially Loaded Rods with Account for Temperature

Derivation of a mathematical model of oscillation processes of spatially loaded rods with account for temperature is considered in the paper. On the basis of the problem posed, using the generalized Hamilton-Ostrogradsky principle, the variations in kinetic, potential energy and work of external forces were calculated, and a nonlinear mathematical model of spatially loaded rods was derived, taking into account temperature. Based on the mathematical model, the resolving equations of spatially loaded rods with generalized natural initial and boundary conditions were derived.

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