Title :
Modeling of impact on a flexible beam
Author :
Wei, Q.F. ; Krishnaprasad, P.S. ; Dayawansa, W.P.
Author_Institution :
Syst. Res. Center, Maryland Univ., College Park, MD, USA
Abstract :
We consider the problem of modeling dynamical effects of impact of an elastic body on a flexible beam. We derive a nonlinear integral equation by using the Hertz law of impact in conjunction with the beam equation. This equation does not admit a dosed form solution. We demonstrate the existence of solutions, derive a reliable numerical method for computing solutions, and compare the numerical results with those obtained by others
Keywords :
Green´s function methods; distributed parameter systems; integral equations; numerical analysis; Green function; Hertz equation; contraction mapping; dynamical effect modelling; flexible beam; nonlinear integral equation; numerical method; Approximation methods; Closed-form solution; Educational institutions; Industrial control; Integral equations; Manipulator dynamics; Nonlinear equations; Optical control; Robot control; Service robots;
Conference_Titel :
Decision and Control, 1993., Proceedings of the 32nd IEEE Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
0-7803-1298-8
DOI :
10.1109/CDC.1993.325414
