| Autor: |
Vladimir Mikhailovich Sandalov, Elena E. Lisenkova, Vladimir I. Erofeev, Alexey O. Malkhanov, Sergey I. Gerasimov |
| Rok vydání: |
2020 |
| Předmět: |
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| Zdroj: |
Multiscale Solid Mechanics ISBN: 9783030549275 |
| DOI: |
10.1007/978-3-030-54928-2_9 |
| Popis: |
The work is devoted to the study of wave resistance to the movement of the load along a flexible guide lying on a linearly elastic foundation or on a nonlinearly elastic foundation. In the case of a rigid type of nonlinearity, the frequency of transmission and critical speeds of movement of the load are determined, when passing through which the picture of wave formation changes qualitatively. At the source frequency lying in the reject band, the constant component of the wave resistance is found and its dependence on the speed of the load is investigated. The problem of an elastic guide experiencing a moving object, as a dynamic controlled system, is posed and solved. The general patterns inherent in the waves propagating in one-dimensional elastic systems are revealed. The local laws of energy transfer and wave momentum are given in the case when the Lagrangian of the elastic system depends on the generalized coordinates and their derivatives up to the second order inclusive. It is shown that in a reference frame moving with a phase velocity, the ratio of the energy flux density to the wave pulse flux density is equal to the phase velocity. It is established that for systems whose dynamic behavior is described by linear equations or nonlinear with respect to an unknown function, the ratio of the average values of the energy flux density to the wave pulse density is equal to the product of the phase and group wave velocities. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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