Document Type

Thesis

Date of Award

9-30-1989

Degree Name

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

Department

Mechanical and Industrial Engineering

First Advisor

Ian Sanford Fischer

Second Advisor

Harry Herman

Third Advisor

Rong-Yaw Chen

Abstract

The model for a Cardan joint with manufacturing and assembly tolerances is a spatial four-bar mechanism with one rotating and three cylindrical joints. In this thesis, dual-number coordinate transformation matrices and Newtonian mechanics are applied to provide a concise description of the kinetics of the universal joint. The dual-Euler equations are used to derive the dynamic equations of the Cardan joint. The analytical technique presented here yields explicit expressions. It will provide the designer with better insight into the workings of the kinematics and dynamics of the Cardan joint.

The equations of statics and dynamics of the frictionless universal joint are indeterminate by degree three. Usually the force components in the axial direction in the input and in the intermediate joints are assumed to be of negligible magnitude. An experiment should be conducted to verify this assumption under real-time dynamic conditions.

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