1. Lin Chen Tom Nierodzinski Yan Di Lv Zhongyuan Optimum Sensitivity Analysis MAE 550 12/10/07

2. Outline Objective Problem Formulation Results Analysis Conclusion

3. Objective Better understand OSA by comparing different parameters for the same design problem

4. Problem Formulation Parameters Chosen: P = Stress E = Youngs Modulus σ = allowable stress y = deflection Design Variables: b i and h i i = 1,5 (Total of 10 design variables) (Total of 21 constraints)

5. Problem Formulation cont. DOT results of optimum point

6. OSA Analysis Lambda values

7. OSA Analysis Matrix dimensions for OSA

8. Stress(P) = 50,000 N

9. Active to inactive p = 5.6*10^3 Inactive to Active p = 3.52*10^3 Minimum % 7%

10. Youngs Modulus = 2x10 7 Pa

11. Active to inactive p = 1.56*10^6 Inactive to Active p = 7.47*10^5 Minimum % 3.7%

12. Sigma = 14,000 N/cm 2

13. σ = 14,000 N/cm 2 Active to inactive p = 3.64*10^3 Inactive to Active p = 345 Minimum % 2.5%

14. Y(deflection) = 2.5 cm

15. Active to inactive p = 0.19 Inactive to Active p = 0.0924 Minimum % 3.69%

16. Conclusion OSA is limited in minimum delta p In this case inactive constraints are more sensitive

17. Questions?