The details and level of the courses depend on the background knowledge of the students.

Theoretical background (6 lectures of 2 hours)

  • Finite element theory: thin plate elements with high polynomial shape functions
  • Eigenvalue problem: Sturm sequences, bisection and power iteration
  • Impulse excitation of constructions
  • Numerical and experimental Modal analysis
  • Measurement sensors (accelerometer, microphone, laser velocity meter)
  • Data acquisition: theorem of Shannon, precision
  • Fourier transformation
  • Visual studio programming for design of user interfaces
  • Elastic Material properties (isotropic, orthotropic, anisotropic)
  • Inverse methods principles
  • Sensitivity theory
  • Working principles of the Resonalyser Method

 

Labo exercises (4 hours)

  • Identification of isotropic plates
  • Identification of orthotropic plates

The resonalyser instrument is very robust and affordable and allows laboratory experiments for students to increase their skills and understanding of  Dynamics, Modal Analysis, Data Acquisition, Finite Elements, Inverse Methods, … among others.

Results on Engineering Constants can be used for mechanical simulation exercises and can be compared with similar results of other available experimental measurement techniques.