1. Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809

2. Imposition of boundary conditions Leads to Standing Waves Resonance Normal Modes

3. Observation of Normal Modes Experimental: Holographic Interferometry Modal Analysis Theoretical: Finite Element Analysis

4. Optical Holography

5. Computer aided Holography

8. Modal Analysis

10. F = ma T = 1/m = a/F

11. T(f) = a(f)/F(f)

14. Finite Element Analysis 1.Geometry 2.Material 3.Elastic Properties 4.Mesh 5.Boundary conditions 6.Calculate 7.Display