Title :
Estimates for maximum displacement of one of solids in flexible systems with dry friction
Author :
Balandin, Dmitry V.
Author_Institution :
Res. Inst. for Appl. Math. & Cybern., Nizhny Novgorod, Russia
Abstract :
A mechanical flexible system consisting of a supporting solid and an elastic system attached to it is considered. The supporting body is in frictional contact with another body (the base) which executes a specified motion. The problem of estimating the maximum displacement of the supporting body relative to the base is studied for the class of disturbances which are generated by the base. Analytical expressions are obtained for the estimates. The limiting cases in which the value of the estimate is identical to the maximum possible displacement of the supporting body are analyzed
Keywords :
elastic waves; friction; nonlinear dynamical systems; disturbances; dry friction; elastic system; frictional contact; limiting cases; maximum displacement; mechanical flexible system; nonlinear dynamical system; supporting solid; Control systems; Control theory; Cybernetics; Friction; Mathematics; Mechanical systems; Nonlinear systems; Optimal control; Scattering; Solids;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.873968
