Mathematical models of pipeline deformation under repeated - Variable loading taking into account damageability
Nizomboy SabirovTashkent Institute of Textile and Light Industry, Shohdjahon st. 5, 100100, Tashkent, UzbekistanNodira RuzievaTashkent State Transport University of the Republic of Uzbekistan, st. Odilhojaeva 1, 100167, Tashkent, UzbekistanAbdusamat AbdusattarovTashkent State Transport University of the Republic of Uzbekistan, st. Odilhojaeva 1, 100167, Tashkent, Uzbekistan
ABI
Аннотация
The paper formulates a statement of the problem and develops mathematical models of pipeline deformation under repeated-variable loading. Based on the theory of small elastic-plastic deformations and the Hamilton-Ostrogradsky variational principle, a system of differential equations of motion (equilibrium) under repeated-variable loading with appropriate boundary and initial conditions is obtained for the first time. The boundary problem is solved by the finite difference method and matrix runs. Results of calculations are given for a particular case
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