Elastic wave propagation

Lecturer(s): Sebastien BESSET
Course ⋅ 16 hStudy ⋅ 12 h


In the field of Vibro-acoustics, the control of the behavior of structures is hampered by the difficulty of using the finite element method. In this way, wave propagation view is essential and condtitutes the basis of many analytical methods used in industry. Its implementation in the field of transport has made it possible to optimize the vibro-acoustic comfort of vehicles. In the field of Civil Engineering, the calculation of the vibro-acoustic behavior of buildings has been made necessary by the evolution of standards of safety and comfort. On the other hand, wave analysis of aeroelastic or hydro-elastic problems reveals major dynamic phenomena such as shock waves, radiation and acoustic transparency of structures.


Propagation, vibroacoustics, radiation, seismic, stratified media, fluid-structure coupling.


I - Introduction: Propagation of a mono-dimensional medium - Harmonic waves - Power flow II - Wave analysis in solids: Propagation in a finite space - Propagation in a half-space - Waves in stratified media - Waveguide - Case of periodic media III - Vibro-acoustic analysis: Non-modal behavior of structures - Integral formulation - Energy methods - Static analysis of dynamic problems IV - Ground-structure coupling: Superficial foundations dynamics - Modeling of foundations by piles - Numerical simulation models V - Fluid-structure coupling: Propagation in pipes - Study of water hammers - Acoustic transparency and radiation of the walls

Learning Outcomes

  • Understanding the main vibro-acoustic phenomena
  • Understanding vibratory energy exchanges between elastic media
  • Learn about the vibro-acoustic calculation tools used in mechanical design
  • Understanding the seismic design rules


Technical study Scientific paper study