2018-03-20

MDOF Systems

Multiple degrees of freedom linear systems are very simple to study if we adopt a matrix notation for the equation of motion...

  • Vectorial equation of dynamic equilibrium.
  • Linear relationship between displacement, acceleration vector and elastic, inertial force vector are written in terms of a matrix product.
  • Homogeneous equation of motion, equation of frequencies, eigenvalues and eigenvectors, eigenvectors' properties.
  • Modal superposition.
  • A complete example of solution.
Material available for this class:
Giacomo Boffi