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Exploring Standing Waves and Resonance through Boundary Conditions and Modal Analysis

This study investigates the influence of boundary conditions on the formation of standing waves and the observation of normal modes. Employing both experimental techniques, such as holographic interferometry, and theoretical approaches, including finite element analysis, we aim to understand the behavior of structures under dynamic loads. The research delves into geometry, material properties, and elastic characteristics, showcasing the intricate relationship between boundary conditions and modal analysis. Results illustrate the potential applications of optical holography and computer-aided methods in analyzing structural vibrations.

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Exploring Standing Waves and Resonance through Boundary Conditions and Modal Analysis

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  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

  6. Modal Analysis

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

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

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

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