The perturbation method in problems of the dynamics of inhomogeneous elastic rods

DOI10.1016/0021-8928(92)90028-7zbMath0787.73040OpenAlexW2009740573MaRDI QIDQ1314174

Leonid Denisovich Akulenko, Georgii V. Kostin

Publication date: 3 March 1994

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(92)90028-7

zbMATH Keywords

eigenfunctionssmall-parameter methodEuler variableself-conjugate boundary value problems

Mathematics Subject Classification ID

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

Related Items (6)

A frequency-parametric analysis of natural oscillations of non-uniform rods ⋮ Variational approaches to solving initial-boundary value problems in the dynamics of linear elastic systems ⋮ Modeling of controlled motions of an elastic rod by the method of integro-differential relations ⋮ The optimization of the motion of an elastic rod by the method of integro-differential relations ⋮ Modelling of the forced motions of an elastic beam using the method of integrodifferential relations ⋮ The construction of optimal control for the motion of elastic bodies by using the method of integro-differential relations

Cites Work

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• Einige abstrakte Begriffe in der numerischen Mathematik (Anwendungen der Halbordnung).(Some abstract notions in the numerical mathematic. (Applications et semiorder))
• Optimal control theory for the damping of vibrations of simple elastic systems
• Constructive control of the motion of oscillating systems with discrete and distributed parameters

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