Geodesic
Mathematical modelling of loss of stability of system of step and homogeneous cores at blow about the rigid barrier Tymoshenko's method
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 3, pp. 45-49

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Mathematical modeling of longitudinal elastic central blow of system of step and homogeneous cores about a rigid barrier is carried out, at not holding communications by a solution of the wave equation by Dalamber's method. On the basis of the law of conservation of energy by Tymoshenko's method the size of critical compressing loading according to which, the size of critical pretonic speed leading to loss of stability of considered rod system further pays off. 
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     author = {A. A. Bityurin},
     title = {Mathematical modelling of loss of stability of system of step and homogeneous cores at blow about the rigid barrier {Tymoshenko's} method},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {45--49},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2012_12_3_a6/}
}
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A. A. Bityurin. Mathematical modelling of loss of stability of system of step and homogeneous cores at blow about the rigid barrier Tymoshenko's method. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 3, pp. 45-49. http://geodesic.mathdoc.fr/item/ISU_2012_12_3_a6/