The synthesis of an inhomogeneous elastic system with a boundary load
Autor: | L. D. Akulenko, Alexander Gavrikov, Sergei V Nesterov |
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Rok vydání: | 2017 |
Předmět: |
Physics
0209 industrial biotechnology Equation of state Inertial frame of reference Mechanical Engineering Mathematical analysis Equations of motion Boundary (topology) 010103 numerical & computational mathematics 02 engineering and technology 01 natural sciences Action (physics) Robin boundary condition symbols.namesake 020901 industrial engineering & automation Mechanics of Materials symbols Boundary value problem 0101 mathematics Rayleigh scattering |
Zdroj: | Moscow University Mechanics Bulletin. 72:113-118 |
ISSN: | 1934-8452 0027-1330 |
DOI: | 10.3103/s002713301705003x |
Popis: | For an adequate description of free and controlled motions of one-dimensional elastic systems with distributed parameters, we consider a suitable model expressed by a linear problem with Robin boundary conditions. It is assumed that the control action is used additively in the equation of motion and in the boundary conditions. The coefficients used in the equation of state and in 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 of the boundary as well as the elastic properties (the Rayleigh correction) and other imperfections. |
Databáze: | OpenAIRE |
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