ME 734: Vibro Acoustics

Prof. Dhanesh Manik


The course starts with analysis of vibration systems, followed by a study of the resulting sound and acoustics. Towards the end, the energies related to acoustics are studied. Exams are about numerical problem solving to a very large extent. It primarily deals with various formulae and their derivations for different systems concerning vibrations and acoustics. The course content is fairly vast and the syllabus is covered at a very fast pace. Personally, I felt that a lot of concepts were very difficult to comprehend during the lectures.  

Course Content:

  1. Single Degree of Freedom system(SDOF)
  2. Multiple Degree of Freedom System(MDOF)
  3. Vibration in Longitudinal bars
  4. Airborne sound
  5. Quantification of Sound
  6. Random Vibrations
  7. Flexural Vibration of Beams
  8. Plates and Shells
  9. Sound Sources
  10. Room Acoustics
  11. Sound Structure
  12. Statistical Energy Analysis(SEA)


Quizzes:  4 quizzes – 15% each (Best 4 out of 5)
No Midsem
Endsem: 40%


By the end of the course, one can expect to be able answer questions like- How do you model the vibrations of simple physical systems? How does sound propagate? How do you reduce the loudness of a sound source? How is loudness of sound adjusted corresponding to human perception? How do you decide the kind of sound barrier you need to filter specific noises? How do you design the walls of a theatre so that it is perfect for hundreds of people to enjoy an opera?


These are some references suggested by the instructor himself:

  1. M. C. Junger, D. Feit, Sound, Structures and Their Interaction, The MIT Press (December 30, 1972).
  2. F. J. Fahy, Sound and Structural Vibration: Radiation, Transmission and Response, Academic Press (January 28, 1987).
  3. L. Cremer, M. Heckl, B.A.T. Petersson, Structure-Borne Sound: Structural Vibrations and Sound Radiation at Audio Frequencies, Springer, 3rd ed. edition (March 14, 2005).
  4. R. H. Lyon, R. G. Dejong, Theory and Application of Statistical Energy Analysis, R.H. Lyon Corp (January 1, 1995).
  5. R.H. Lyon, Machinery Noise and Diagnostics.  Boston:Butterworths (1986)
  6. E. Skudrzyk, Simple and Complex Vibratory Systems (Hardcover), Univ of Pennsylvania Press (June 1968).

Additional Comments:


A strict attendance policy of 80% or more is followed. DX is awarded if less.


The course as such has no pre-requisites as such, but having some prior knowledge about vibration systems through courses like KDOM (ME 316), Vibration Engineering (ME 710) can help one keep up with the pace.


The exams contain only numerical questions. The instructor shares the lecture slides and previous year exam papers beforehand. All exams are ‘open hand written notes’. Students are expected to have all the important formulae written in their notes. Going through lecture slides and practicing solved problems shared by the instructor is the least one should do for exams.