Dynamic analysis of the generalized slider crank
Department of Mechanical and Industrial Engineering
Master of Science
Fischer, Ian Sanford
Dave, Rajesh N.
Rosato, Anthony D.
Cranks and Crankshafts--Mathematical Models
Links and Link Motion--Mathematical Models
A numerical technique is used to analyze the kinematics of the generalized slider crank mechanism and an analytical technique to derive dynamic force equations for that mechanism has been formulated. The numerical technique used for displacement analysis is based on a combination of Newton-Raphson and Davidon-Fletcher-Powell optimization algorithm using dual-number coordinate-transformation matrices. Velocity analysis is performed by using a dual number method. Finally, dynamic force analysis is accomplished on the basis of the dual-Euler equation and D'Alembert's principle. The approach is developed in such a manner that a digital computer can detect when a solution is possible and then solve the whole problem.
In addition, kinematic displacements of slider and dynamic forces and torques at each of the joints have been graphed against input crank angles for different offsets. In all the graphs, possible cases have been compared with the ideal case, when the mechanism has zero offsets.
njit-etd1991-012 (96 pages ~ 3,870 KB pdf)
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Created October 3, 2001