Geodesic
Modeling of Ritz's method of piecewise-inhomogeneous rod system near the critical speed
Matematičeskoe modelirovanie, Tome 23 (2011) no. 9, pp. 57-64

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The mathematical modeling of longitudinal elastic central impact of the step and homogeneous rod with a rigid obstacle, at not hard ties by the solutions of the wave equation by d'alembert is realized. On the basis of the law of conservation of energy it is calculated the value of the critical compressive load Ritz's method, in accordance with which further it is calculated the value of the critical speed during the strike, leading to the loss of stability of the rod system.
Keywords: sustainability, impact, modeling, speed, rod. 
@article{MM_2011_23_9_a4,
     author = {A. A. Bityurin},
     title = {Modeling of {Ritz's} method of piecewise-inhomogeneous rod system near the critical speed},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {57--64},
     publisher = {mathdoc},
     volume = {23},
     number = {9},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2011_23_9_a4/}
}
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A. A. Bityurin. Modeling of Ritz's method of piecewise-inhomogeneous rod system near the critical speed. Matematičeskoe modelirovanie, Tome 23 (2011) no. 9, pp. 57-64. http://geodesic.mathdoc.fr/item/MM_2011_23_9_a4/