Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 5, Pages 36–42 (Mi vmumm93)  
This article is cited in 4 scientific papers (total in 4 papers)

Mechanics

The synthesis of an inhomogeneous elastic system with a boundary load

L. D. Akulenko, A. A. Gavrikov, S. V. Nesterov

Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
Full-text PDF (404 kB) Citations (4)
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Abstract: For an adequate description of free and controlled movements of one-dimensional elastic systems with distributed parameters, we consider a suitable model described by a linear boundary value problem with boundary conditions of the third kind. It is assumed that the control action enters additively in the equation of motion and in the boundary conditions. The coefficients of the equation of state and the boundary conditions may depend on the spectral parameter (frequency), which allows one to take into account the inertial and/or force load at one or both ends as well as the elastic properties (the Rayleigh correction) and other imperfections.
Key words: generalized Sturm–Liouville problem, eigenvalues and eigenfunctions, control of distributed systems, successive approximations, square error.
Funding agency Grant number
Russian Science Foundation 16-11-10343
Received: 14.09.2016
English version:
Moscow University Mechanics Bulletin, 2017, Volume 72, Issue 5, Pages 113–118
DOI: https://doi.org/10.3103/S002713301705003X
Bibliographic databases:
Document Type: Article
UDC: 539.3
Language: Russian
Citation: L. D. Akulenko, A. A. Gavrikov, S. V. Nesterov, “The synthesis of an inhomogeneous elastic system with a boundary load”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, no. 5, 36–42; Moscow University Mechanics Bulletin, 72:5 (2017), 113–118
Citation in format AMSBIB
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