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A Brief Analysis Of The Hooke'S Joint

Name: A Brief Analysis Of The Hooke'S Joint
Creator: LAO, Richard
Keywords: compass, Hooke's joint, Universal joint, magnetic flux-gate

appsOther research productkeyboard_double_arrow_right Other ORP type 04 Mar 2018 English Publisher:Zenodo

Authors: LAO, Richard;

doi: 10.5281/zenodo.1188453 , 10.5281/zenodo.1188452

A Brief Analysis Of The Hooke'S Joint

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Abstract

Abstract: The purpose of this paper is to derive the mathematical equations which govern the movements of a Hooke's joint, also known as a universal joint. A Hooke's joint has an input shaft and an output shaft. If the input shaft rotates through an angle IN, then the output shaft will simultaneously rotate through an angle OUT. The functional relationship between input angle and output angle is a function of the angular o¤sets between the two shafts and of the original state of the Hooke's joint for zero angle IN. The derivation is obtained by considering the individual three dimensional rotations that characterize an arbitrary Hooke's joint state. These rotations are represented by 3x3 rotation matrices. An electro-mechanical magnetic flux-gate compass application is also discussed.

Keywords

compass, Hooke's joint, Universal joint, magnetic flux-gate

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