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

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

Structural Vibrations

Uwe J. Hansen

Department of Physics

Indiana State University

Terre Haute, IN 47809

Page 2: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809

Imposition of boundary conditions

Leads to Standing Waves

ResonanceNormal Modes

Page 3: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809

Observation of Normal ModesExperimental:

Holographic Interferometry

Modal Analysis

Theoretical:

Finite Element Analysis

Page 4: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809

Optical Holography

Page 5: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809

Computer aided Holography

Page 6: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809
Page 7: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809
Page 8: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809

Modal Analysis

Page 9: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809
Page 10: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809

F = ma

T = 1/m = a/F

Page 11: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809

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

Page 12: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809
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• Finite Element Analysis• 1. Geometry• 2. Material• 3. Elastic Properties• 4. Mesh• 5. Boundary conditions• 6. Calculate• 7. Display

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