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Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

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Page 1: Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Bond Graph Assignment19.169

Richard Mullen

ME 114

Fall 2006

Page 2: Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Problem

Page 3: Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Procedure

• A bond graph was made in CAMPG of the system in the problem.

• While all of the values were constants, the source of effort caused by the unbalanced motor is a function of time– SE = m*e*wf*sin(wf*t)

• A simulink model was also created to compare values

Page 4: Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Bond Graph

Page 5: Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Procedure

• All of the values were put into Matlab and displayed graphically

Page 6: Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Simulink Model

Page 7: Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Procedure

• All of the values were built into the model and the scopes display the results as a function of time.

Page 8: Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Results

• The amplitude of the fluctuating force by analysis is 5.75 N, while the bond graph model gave about 5.8N.

• The amplitude of the displacement of the motor by analysis is 7.10x10-6m, while the bond graph model gave about the same answer of 7.10x10-6m.

Page 9: Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Results

The displacement and Momentum of the mass

Page 10: Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Results

Zoomed in to see value

Page 11: Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Results

The total Force caused by the system on the foundation

Page 12: Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Results

Zoomed in portion of the Force on the foundation

Page 13: Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Results

• The amplitude of the fluctuating force by analysis is 5.75 N, while the Simulink model settled down at between 5 and 6 N.

• The amplitude of the displacement of the motor by analysis is 7.10x10-6m, while the Simulink model gave about the same answer of 7.10x10-6m.

Page 14: Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Results

Force on Foundation over time

Page 15: Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Results

Vertical displacement over time

Page 16: Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

Conclusion

• The displacement matched up with the calculated value in the example, and the amplitude of the force was almost on for both the CampG and the Simulink models. There was a bit of noise on the force graph for an unknown reason, but it came out very similar. I can see that bond graphs and simulink models can be powerful tools to simulate many situations.