1. Presenter: Dan SnyderDate: 10/5/2010Overhead sheet 1 File: /home/u9/engr/snyded/pub_html/EP/alternative_project.odp Assessing Sensitivity of Vibratory Mode Frequencies to Variation in Geometric Parameters  Vibration in turbine blades must be prevented  Modal analysis can with FEA can determine frequencies  Variation in geometric parameters affects frequency

2. Presenter: Dan SnyderDate: 10/5/2010Overhead sheet 2 File: /home/u9/engr/snyded/pub_html/EP/alternative_project.odp Develop Parametric Blade Model  Create “flexible” turbine blade defined by numerical parameters.  Using Unigraphics (CAD software)‏  Blade can be altered from normal conditions by changing geometric parameters

3. Presenter: Dan SnyderDate: 10/5/2010Overhead sheet 3 File: /home/u9/engr/snyded/pub_html/EP/alternative_project.odp Sample Design Space  Whole set of parameters forms a “design space”  Define normalized parameters with specified  Upper limit  Lower limit  Zero mean  Sample design space using Latin Hypercube Sampling  For N variables, create N combinations of variables  Orthogonal Sample Space  Each set of parameters represents a potential configuration of a real blade

4. Presenter: Dan SnyderDate: 10/5/2010Overhead sheet 4 File: /home/u9/engr/snyded/pub_html/EP/alternative_project.odp Analyze Potential Blade Configurations  Analyze all configurations of real blades using ANSYS  Modal Analysis  Boundary conditions similar to engine operation  Find first 5 mode frequencies  Automate using iSight  Develop Predictive Regression Function  Linear / Non-linear  Least Squares Minimization

5. Presenter: Dan SnyderDate: 10/5/2010Overhead sheet 5 File: /home/u9/engr/snyded/pub_html/EP/alternative_project.odp Summary  This project will simulate random variation in turbine blades  The effect of geometry variation on frequency will be quantified  A predictive model will be created to predict frequency based on geometric parameters.

6. Presenter: Dan SnyderDate: 10/5/2010Overhead sheet 6 File: /home/u9/engr/snyded/pub_html/EP/alternative_project.odp Discussion  How many parameters will be required to create a realistic and flexible model?  How many configurations should be analyzed to create dense enough variable space?  What type of regression function should be used?  Linear / non-linear?