Sheet1
Page 1
% Problem 20.11
% This problem is an excellent example of rolling contact
% and 2 points fixed on a rigid body
% Set up problem
CONSTANTS WBA,WEA,WAF,WBF,WCF,WDF,WEF
% These are angular velocity measure numbers
CONSTANTS RA,RB,RC,RD,RE
% The radii of the gears will be proportional to the
% number of teeth in each gear.
% The general solution approach is to form 6 linear
% equations in 6 unknown angular velocity measure numbers,
% which can then be solved for the desired ratio of measure
% numbers.
% Form equations by applying the rolling contact constraints.
% Rolling contact occurs between A and D, B and C, and
% D and E. Furthermore, all points on the axis of C and D
% have zero velocity in frame F. Thus, if CO and DO are the
% points at the center of C and D respectively, then
% V_CO_F> = V_DO_F> = 0>. These velocities give us a known
% starting point for using 2 points fixed on a rigid body:
% V_CHAT_F> = V_CO_F> + CROSS(W_C_F>,P_CO_CHAT)
% V_DHAT_F> = V_DO_F> + CROSS(W_D_F>,P_DO_DHAT)
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Fall '08
 Staff

Click to edit the document details