Modelling of Mechanical Systems Basing on Interconnected Differential and Partial Differential Equations

A.D. Mizhidon
2017 Bulletin of the South Ural State University Series Mathematical Modelling Programming and Computer Software  
The paper considers a boundary-value problem for a hybrid system of dierential 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 dierential equations is understood as a system of dierential equations composed of ordinary dierential equations and partial dierential equations. For the theoretical foundations of our approach to investigation of the boundary value problem for the
more » ... ue problem for the hybrid system of dierential equations we propose a method of nding eigenvalues for the boundaryvalue 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.
doi:10.14529/mmp170102 fatcat:dbdnv2smcnbq3euoer5am4gwd4