Premium
On the Determination of the Solutions for the Kinetic State of Single‐Freedom Multi‐Body Systems with Friction
Author(s) -
Klepp H. J.
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.19970770110
Subject(s) - hinge , degrees of freedom (physics and chemistry) , torque , friction torque , state (computer science) , algebraic equation , static friction , mathematics , control theory (sociology) , classical mechanics , mathematical analysis , mechanics , physics , nonlinear system , computer science , materials science , control (management) , thermodynamics , artificial intelligence , algorithm , quantum mechanics , composite material
A single‐freedom multi‐body system with determinate structure having friction‐affected sliders and hinges is considered. For the determination of the solutions of initial value problems the governing equations are put in the form of a system of linear algebraic equations having the absolute values of the friction forces as unknowns. The coefficients of these equations contain the signs of the unknown normal reactions, and the unknown friction torques are included in the right‐hand‐sides of these equations. With all possible sets of assumptions for the signs of the normal reactions and approaches of the friction torques these equations are solved, and the solutions, which are approaches of the friction forces, are selected. With these approaches of the friction forces new approaches of the friction torques can be established, which can be used for repeating the calculations, until the desired accuracy is reached. The determination of the accelerations and reaction forces of a five‐body system with three sliders and four hinges with this method evidenced advantages in comparison with pure iteration schemes.