Date of Award

Spring 1991

Document Type

Thesis

Degree Name

Master of Science in Mechanical Engineering - (M.S.)

Department

Mechanical and Industrial Engineering

First Advisor

Ian Sanford Fischer

Second Advisor

Rajesh N. Dave

Third Advisor

Anthony D. Rosato

Abstract

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.

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