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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2011, Volume 52, Issue 4, Pages 36–42
(Mi pmtf1500)
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This article is cited in 2 scientific papers (total in 2 papers)
Calculation of the critical velocity of a stepwise rod system under a longitudinal impact
A. A. Bityurin Ul’yanovsk State Technical University, Ul’yanovsk, 432027, Russia
Abstract:
A longitudinal elastic central impact of a system of a constant-section and stepwise rods on a rigid target is modeled by an exact analytical solution of the differential wave equation by the D’Alembert method with imposing appropriate initial and boundary conditions. Based on the Euler formula, an analytical expression is derived for calculating the critical velocity at which buckling of the rod system occurs.
Keywords:
rod system, longitudinal impact, critical velocities, stable state.
Received: 15.02.2010 Accepted: 21.06.2010
Citation:
A. A. Bityurin, “Calculation of the critical velocity of a stepwise rod system under a longitudinal impact”, Prikl. Mekh. Tekh. Fiz., 52:4 (2011), 36–42; J. Appl. Mech. Tech. Phys., 52:4 (2011), 530–535
Linking options:
https://www.mathnet.ru/eng/pmtf1500 https://www.mathnet.ru/eng/pmtf/v52/i4/p36
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Abstract page: | 34 | Full-text PDF : | 16 |
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