Optimization of elasticity-induced boundary control for the vibrations of a rod consisting of two different segments

DOI10.1134/S1064562411060354zbMath1357.74049MaRDI QIDQ653044

Vladimir Il'in

Publication date: 6 January 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Optimization of other properties in solid mechanics (74P10)

Related Items (3)

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 ⋮ The problem of boundary control of displacement at two ends by the process of oscillation of a rod consisting of two sections of different density and elasticity

Cites Work

• Longitudinal vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical travel times on each segment
• Optimization of the boundary control of string vibrations by an elastic force on an arbitrary sufficiently large time interval

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