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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2017, Number 5, Pages 36–42
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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
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.
Received: 14.09.2016
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
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https://www.mathnet.ru/eng/vmumm93 https://www.mathnet.ru/eng/vmumm/y2017/i5/p36
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Abstract page: | 88 | Full-text PDF : | 21 | References: | 18 | First page: | 3 |
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