Fixed and Moving Centrodes

Fixed Centrode


WM2D File

Moving Centrode


WM2D File

Centrodes in Contact


WM2D File

Rolling the Moving Centrode


WM2D File


Matlab File

Click the figure above to activate the associated video simulation file.

Software copyright © 2004 by The McGraw-Hill Companies, Inc. All rights reserved.

Info    Source   Credits

Info

The successive positions of an instant center I13  is called the fixed centrode, as shown in the upper-left figure. The fixed centrode of the inverted linkage, where link 3 is fixed and link 1 is the coupler, is called the moving centrode, as shown in the upper-right figure.

The lower-left  figure shows the linkage with both fixed and moving centrodes superposed.  Note that the color of the moving centrode and the link 3 (both in blue) are the same, as they move together, and the color of the fixed centrode and the fixed link (both in beige) are the same, as they are both stationary.

Since the velocity of I13  is zero, the moving centrode must roll against the fixed centrode without slipping. In the lower-right figure, the fixed and moving centrodes are attached to two plates respectively, and the linkage is removed. The complex motion of the moving plate (in beige) will be identical to the coupler of the original linkage.

Source

This Working Model file is adapted from Figure 6.14 on p.288 in Design of Machinery, 3rd ed. by Norton, R. L., McGraw-Hill, 2004.

Credits

This Working Model file was first developed by Jie (Jeff) Yang.