1. Bond Graph Assignment 19.169 Richard Mullen ME 114 Fall 2006

2. Problem

3. 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*w f *sin(w f *t) A simulink model was also created to compare values

4. Bond Graph

5. Procedure All of the values were put into Matlab and displayed graphically

6. Simulink Model

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

8. 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 -6 m, while the bond graph model gave about the same answer of 7.10x10 -6 m.

9. Results The displacement and Momentum of the mass

10. Results Zoomed in to see value

11. Results The total Force caused by the system on the foundation

12. Results Zoomed in portion of the Force on the foundation

13. 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 -6 m, while the Simulink model gave about the same answer of 7.10x10 -6 m.

14. Results Force on Foundation over time

15. Results Vertical displacement over time

16. 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.