The laws of variation of energy and momentum for one-dimensional systems with moving mountings and loads

DOI10.1016/0021-8928(83)90147-8zbMath0562.73042OpenAlexW2087774982MaRDI QIDQ1057102

L. E. Kaplan, G. A. Utkin, A. I. Vesnitskij

Publication date: 1985

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(83)90147-8

zbMATH Keywords

Timoshenko beamradiation conditionscritical velocitiesnatural boundary conditionsone-dimensional systemmoving loadwave momentumwave pressureappearance of additional forcesdensity of the Lagrange functiondistributed recoil forcesenergy transport velocitynon-uniform systemproportional to the load velocityself-consistent dynamic behaviourwave energy fluxwork of the forces

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Hamilton's principle (70H25) Waves in solid mechanics (74J99)

Related Items (4)

A revisitation of the paradox of discontinuous trajectory for a mass particle moving on a taut string ⋮ Separating the rapid and slow motions in the problems of the dynamics of systems of rigid bodies and gyroscopes ⋮ Wave radiation in a one-dimensional system due to a non-uniformly moving constant load ⋮ The resistance to the motion of loads along elastic directions caused by the radiation of waves in them

Cites Work

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