Longitudinal vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical travel times on each segment
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Publication:845522
DOI10.1134/S1064562409060313zbMath1423.74484OpenAlexW2028962921MaRDI QIDQ845522
Publication date: 29 January 2010
Published in: Doklady Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s1064562409060313
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)
Related Items (7)
Optimization scheme for boundary control by displacements at two ends of oscillations of a rod consisting of two dissimilar segments ⋮ Oscillations of the process described by the telegraph equation for a system consisting of two segments with different densities and elasticities ⋮ Mixed problems for the equation of longitudinal vibrations of a heterogeneous rod with a free or fixed right end consisting of two segments with different densities and elasticities ⋮ Mixed problems for the equation of longitudinal vibrations of a heterogeneous rod and for the equation of transverse vibrations of a heterogeneous string consisting of two segments with different densities and elasticities ⋮ Optimization of elasticity-induced boundary control for the vibrations of a rod consisting of two different segments ⋮ Study of a mixed problem describing the oscillations of a rod consisting of several segments with arbitrary lengths ⋮ Reduction of the vibrations of an initially stationary rod consisting of two different segments to an arbitrary state
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