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

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Outline Objective Problem Formulation Results Analysis Conclusion

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

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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)

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Problem Formulation cont. DOT results of optimum point

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OSA Analysis Lambda values

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OSA Analysis Matrix dimensions for OSA

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Stress(P) = 50,000 N

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

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Youngs Modulus = 2x10 7 Pa

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

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Sigma = 14,000 N/cm 2

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

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Y(deflection) = 2.5 cm

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

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

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Questions?

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Slide 1Fig. 17.1, p.513 Active Figure 17.2. Slide 2Table 17.1, p.514.

Slide 1Fig. 17.1, p.513 Active Figure 17.2. Slide 2Table 17.1, p.514.

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