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
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Publication:416941
DOI10.1134/S1064562412010279zbMath1237.74119MaRDI QIDQ416941
Publication date: 10 May 2012
Published in: Doklady Mathematics (Search for Journal in Brave)
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (5)
Optimal boundary control of a distributed heterogeneous vibrating system with given states at intermediate times ⋮ Unnamed Item ⋮ 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 ⋮ Study of a mixed problem describing the oscillations of a rod consisting of several segments with arbitrary lengths ⋮ BOUNDARY VALUE PROBLEMS FOR COMPOSITE TYPE EQUATIONS WITH A QUASIPARABOLIC OPERATOR IN THE LEADING PART HAVING THE VARIABLE DIRECTION OF EVOLUTION AND DISCONTINUOUS COEFFICIENTS
Cites Work
- Reduction of the vibrations of an initially stationary rod consisting of two different segments to an arbitrary state
- Optimization of elasticity-induced boundary control for the vibrations of a rod consisting of two different segments
- An analytic form of optimal boundary controls of longitudinal oscillations of a rod consisting of two fragments with different densities and elasticities but equal impedances
- Longitudinal vibrations of a rod consisting of two segments with different densities and elasticity coefficients but with identical travel times on each segment
- Mixed problems describing longitudinal oscillations of a rod consisting of two segments with different densities and different elasticities but equal impedances
- Two-endpoint boundary control of vibrations described by a finite-energy generalized solution of the wave equation
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