Open AccessSeries solution for relative-rotation motion equation
Author(s) -
Z. X. Wu,
B. Liu
Publication year - 2005
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.54.4543
Subject(s) - series (stratigraphy) , nonlinear system , rotation (mathematics) , vibration , differential equation , approximation error , algebraic equation , equations of motion , rotation around a fixed axis , physics , mathematical analysis , control theory (sociology) , mathematics , classical mechanics , computer science , geometry , acoustics , paleontology , control (management) , quantum mechanics , artificial intelligence , biology
For solving the difficult calculation problem of nonlinear differential equation of motion of complex revolving shaft in relative rotation , a new decoupled equation was proposed by using series method, which expands the nonlinear differential equation into a series of algebraic equations and the series solution is obtained. Based on the result of the research , the veracious speed fluctuation of revolving shaft in relative rotation in practice can be calculated for the steady state. The method also provides a technology for error detachment of measuring apparatus calibration and a highly effective algorithm for torsional vibration real-time on-line monitor of heavy-duty and complex revolving shaft.