structural vibrations uwe j. hansen department of physics indiana state university terre haute, in...
Post on 21-Dec-2015
220 views
TRANSCRIPT
![Page 1: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/1.jpg)
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](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/2.jpg)
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](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/3.jpg)
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](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/4.jpg)
Optical Holography
![Page 5: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/5.jpg)
Computer aided Holography
![Page 6: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/6.jpg)
![Page 7: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/7.jpg)
![Page 8: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/8.jpg)
Modal Analysis
![Page 9: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/9.jpg)
![Page 10: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/10.jpg)
F = ma
T = 1/m = a/F
![Page 11: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/11.jpg)
T(f) = a(f)/F(f)
![Page 12: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/12.jpg)
![Page 13: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/13.jpg)
![Page 14: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/14.jpg)
• Finite Element Analysis• 1. Geometry• 2. Material• 3. Elastic Properties• 4. Mesh• 5. Boundary conditions• 6. Calculate• 7. Display
![Page 15: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/15.jpg)
![Page 16: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/16.jpg)
![Page 17: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/17.jpg)
![Page 18: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/18.jpg)
![Page 19: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/19.jpg)
![Page 20: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/20.jpg)
![Page 21: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/21.jpg)
![Page 22: Structural Vibrations Uwe J. Hansen Department of Physics Indiana State University Terre Haute, IN 47809](https://reader035.vdocuments.mx/reader035/viewer/2022062421/56649d595503460f94a39a8d/html5/thumbnails/22.jpg)