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</script>A thin-walled beam (such as the hull of a ship) may be represented as a non-uniform Vlasov beam. Such a beam may execute coupled lateral bending and twisting vibration, the nature of which is examined. Orthogonality relations are derived for a uniform Vlasov beam, which are easily adapted to a non-uniform beam that is treated as piecewise uniform. Hence a linear theory of forced vibration is developed in a form that is readily adapted to the dynamics of a ship in a seaway.
free and forced vibration, Vibrations in dynamical problems in solid mechanics, small vibrations, thin-walled beam, hull of a ship, channel beam, Rods (beams, columns, shafts, arches, rings, etc.), structural dynamics, accuracy of the modified Timoshenko theory, Vlasov theory, boxlike beam
free and forced vibration, Vibrations in dynamical problems in solid mechanics, small vibrations, thin-walled beam, hull of a ship, channel beam, Rods (beams, columns, shafts, arches, rings, etc.), structural dynamics, accuracy of the modified Timoshenko theory, Vlasov theory, boxlike beam
| citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 10 | |
| popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network. | Average | |
| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Average |
