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The analysis of the degenerate case of oscillations of a mechanical system
Author(s) -
Kirsanov Mikhail N.
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.3883
Subject(s) - degeneracy (biology) , degenerate energy levels , mathematics , series (stratigraphy) , nonlinear system , mechanical system , function (biology) , mathematical analysis , zero (linguistics) , motion (physics) , differential equation , partial differential equation , mechanism (biology) , classical mechanics , physics , computer science , quantum mechanics , paleontology , bioinformatics , linguistics , philosophy , artificial intelligence , evolutionary biology , biology
In this paper, the nonlinear model of the mechanism with two degrees of freedom will be studied. An approximate analytical solution of the differential equation of motion in the series showed the presence of features in the aspiration of the mass of one of the bodies to zero. It also gives an algorithm for finding the points of degeneracy of communication between small perturbations of the function of the problem and the derivatives of these functions at a time. Copyright © 2016 John Wiley & Sons, Ltd.