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Universal Joints and Driveshafts H.Chr.Seherr-Thoss · F ... - Index of

Universal Joints and Driveshafts H.Chr.Seherr-Thoss · F ... - Index of

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1.2 Theorie der Übertragung von Drehbewegungen durch Kreuzgelenkwellen XVII<br />

Notation<br />

Symbol Unit Meaning<br />

1. Coordinate Systems<br />

0, x, y, z mm orthogonal, right-h<strong>and</strong>ed body system<br />

0, x¢, y¢, z¢ mm spatial system, arising from the transformation<br />

with the<br />

sin j –cosj 0<br />

rotation matrix Dj = cos j sin j � 0�<br />

0 0 1<br />

0, x¢¢, y¢¢, z¢¢ mm spatial system, arising from the transformation<br />

with the<br />

1 0 0<br />

translation matrix Db = 0 cosb � –sinb�<br />

0 sinbcos b<br />

0, r, j mm, system <strong>of</strong> polar coordinates in Boussinesq half space<br />

r = a + tu degrees vectorial representation <strong>of</strong> a straight track<br />

k<br />

a = � l� m<br />

location vector <strong>and</strong> its components<br />

n<br />

u = � p� q<br />

direction vector <strong>and</strong> its components<br />

Indices 1 body 1, driving unit<br />

Indices 2 body 2, driven unit or intermediate body<br />

Indices 3 body 3, driven unit for three bodies<br />

i = 1, 2, 3, ... n sequential numbering

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