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Efficient Numerical Integration of the Equations of Motion of Non‐Smooth Mechanical Systems
Author(s) -
Meijaard J. P.
Publication year - 1997
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19970770604
Subject(s) - mechanical system , numerical integration , limiting , piecewise , equations of motion , motion (physics) , dynamical systems theory , classical mechanics , amplitude , mathematics , numerical analysis , mathematical analysis , control theory (sociology) , physics , computer science , engineering , mechanical engineering , control (management) , quantum mechanics , artificial intelligence
A method for dealing with the numerical integration of non‐smooth mechanical dynamical systems is presented. This method is based on the integration of piecewise smooth parts and piecing these parts together with appropriate transition conditions. A distinguishing characteristic of this method is that it can deal with very close transitions. The method is applied to a forced friction oscillator with one degree of freedom, and a system of two coupled non‐linear oscillators in which one oscillator has an amplitude‐limiting stop.