ME 7710 Advanced Vibration and Acoustics July-November 2015 Instructor:
P. Chandramouli
Location:
406 MDS Building
Contact:
Phone: 4690, email:
[email protected]
Class hours:
W 11:00-11:50, H 09:00 -09:50, F 08:00-08:50
Grading:
25% Mid-term , 25% Assignments, 10% Term paper and 40% End semester exam
This course deals with the advanced topics in mechanical vibrations as well as structural acoustics. It is assumed that the student has a background in calculus, partial differential equations and is familiar with Fourier series and transforms. Also it is expected that the student has done fundamental courses in vibration and acoustics (would make things easier). At the end of the course the student would hopefully be able to understand the advanced analytical and computational methods used by researchers in this area.
Syllabus • Model reduction for large vibrating systems - Static and dynamic condensation methods; Component mode synthesis (CMS) with emphasis on Craig-Bampton methods (5 lectures) • Vibration power flow analysis - Concept of mobility and use of CMS for power flow calculations (3 lectures) • Vibration of plates and shells - Plate equations; Simplified shell equations: Membrane and bending approximations; natural frequencies and mode shapes; approximate solution methods; forced vibration by modal expansion (8 lectures) • FEM for vibration - Formulation of stiffness and mass matrices for plate elements; damping models; free and forced vibration solutions (6 lectures) • Sound radiation from vibrating plates and shells - Coincidence frequency, sound radiation from rectangular infinite and finite plates, radiation efficiency; sound radiation from infinite and finite cylindrical/spherical shells; radiation loading (10 lectures) • FEM/BEM in acoustics - FEM for cavity acoustics; Basics of boundary element method (BEM), Solution of the direct Kirchoff-Helmholtz integral equation for interior and exterior pressure fields, indirect BEM formulation (8 lectures)
Books/References 1. R. R. Craig, 1981, Structural Dynamics: An Introduction to Computer Methods, Chapters 16-19, John Wiley & Sons: New York 2. W. Soedel, 2004, Vibrations of Shells and Plates, Third Edition, Marcel Dekker: New York 3. S. Chakraverty, 2009, Vibration of Plates, CRC Press: Boca Raton 4. L. Cremer, M. Heckl and B. A. T. Petersson, 2005, Structure-Borne Sound, Third Edition, Springer-Verlag:Berlin 5. M. C. Junger and D. Feit, 2000, Sound, Structures and their Interaction, ASA: New York 6. F. Fahy and P. Gardonio, 2007, Sound and Structural Vibration: Radiation, Transmission and Response, Second Edition, Elsevier:Oxford 7. T. W. Wu, 2000, Boundary Element Acoustics: Fundamentals and Computer Codes, WIT Press: Southampton
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