Geodesic
Mathematical modelling of critical speed of the multistage core at longitudinal blow
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 1, pp. 56-62

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Mathematical modeling of longitudinal elastic central blow of a multistage core about a rigid barrier is carried out, at not keeping communications. Mathematical modeling is carried out by the exact analytical decision of the wave differential equation by a method of Dalamber with the task of necessary initial and boundary conditions. With application of the formula of Euler analytical expression for calculation of critical pretonic speed at which there comes loss of stability of a step core is received. 
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     author = {A. A. Bityurin},
     title = {Mathematical modelling of critical speed of the multistage core at longitudinal blow},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2012_12_1_a8/}
}
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A. A. Bityurin. Mathematical modelling of critical speed of the multistage core at longitudinal blow. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 1, pp. 56-62. http://geodesic.mathdoc.fr/item/ISU_2012_12_1_a8/