%% Clutch Lock-Up Simulation 
% 
% The clutch system in this example consists of two plates that transmit torque 
% between the engine and transmission. There are two distinct modes of operation; 
% slipping, where the two plates have differing angular velocities; and lockup, where 
% the two plates rotate together. Handling the transition between these two modes 
% presents a modeling challenge. As the system loses a degree of freedom upon 
% lockup, the transmitted torque goes through a step discontinuity. The magnitude 
% of the torque drops from the maximum value supported by the friction capacity 
% to a value that is necessary to keep the two halves of the system spinning at the 
% same rate. The reverse transition, break-apart, as the torque transmitted by the 
% clutch plates exceeds the friction capacity, is also challenging.
% 
% There are two methods for solving this type of problem:
% 
% * Compute the clutch torque transmitted at all times, and employ this value directly 
% in the model 
% * Use two different dynamic models and switch between them at the appropriate times
% 
% Simulink can model either method. In this example, we describe a simulation for 
% the second method. In the second method, switching between two dynamic 
% models must be performed with care to ensure that the initialized states of the new 
% model match the state values immediately prior to the switch. In either approach, 
% Simulink facilitates accurate simulation due to its ability to recognize the precise 
% moments at which transitions between lockup and slipping occur.
% 
% In the demonstration, we use enabled subsystems to build the clutch model. 
% Two enabled subsystems model the clutch dynamics in either the locked or 
% unlocked position. After running the simulation, a GUI opens. Checking any of 
% the boxes on the GUI produces a plot of any of the selected variables (versus time). 
% 
% A detailed review of the equations used in this design can be found in 
% the white paper <http://www.mathworks.com/mason/tag/proxy.html?dataid=229&fileid=559 
% Using Simulink and Stateflow for Automotive Examples.> Please note
% that this paper is based on an older version of Simulink and does not 
% use all the newest block diagramming features in the current version 
% of Simulink.
% 

bdclose all


close all


open_system('sldemo_clutch')
sim('sldemo_clutch')

%% 

bdclose all


close all