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

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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

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Optical Holography

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Computer aided Holography

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Modal Analysis

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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)

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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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