Open AccessStability of relativistic rotational nonlinear dynamic equation and solution for a kind of nonlinear elastic coefficients
Author(s) -
Meng Zong,
Bin Liu
Publication year - 2007
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.56.6194
Subject(s) - nonlinear system , physics , stability (learning theory) , rotation (mathematics) , transformation (genetics) , classical mechanics , excitation , mathematical analysis , mathematics , quantum mechanics , computer science , geometry , biochemistry , chemistry , machine learning , gene
The nonlinear dynamic equation with two end faces in relativistic rotation is established, which contains a kind of nonlinear elastic force. The qualitative analysis of the relativistic rotational nonlinear autonomous equation is performed, and the stability of the equation is studied. The high-order approximate solution of the equation under forcing excitation is obtained by parameter transformation method.