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This article is cited in 1 scientific paper (total in 1 paper)
Mathematical Modelling
Modelling of mechanical systems basing on interconnected differential and partial differential equations
A. D. Mizhidon East Siberia State University of Technology and Management,
Ulan-Ude, Russian Federation
Abstract:
The paper considers a boundary-value problem for a hybrid system of differential equations, which represents a generalized mathematical model for a system of interconnected rigid bodies attached to the rod by elastic-damping links. A hybrid system of differential equations is understood as a system of differential equations composed of ordinary differential equations and partial differential equations. For the theoretical foundations of our approach to investigation of the boundary value problem for the hybrid system of differential equations we propose a method of finding eigenvalues for the boundary-value problem. The comparative analysis of the results of numerical computations conducted with the use of the proposed method and the results obtained by other techniques known from the literature have proved the validity and the universal character of the proposed approach.
Keywords:
boundary value problem; hybrid system of differential equations; eigenvalues.
Received: 18.01.2016
Citation:
A. D. Mizhidon, “Modelling of mechanical systems basing on interconnected differential and partial differential equations”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 10:1 (2017), 22–34
Linking options:
https://www.mathnet.ru/eng/vyuru356 https://www.mathnet.ru/eng/vyuru/v10/i1/p22
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Abstract page: | 143 | Full-text PDF : | 59 | References: | 31 |
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