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.
- the slides i used for my lesson
- a ready to print version of the slides,
- a gnuplot script that you could use to produce the last two graphics in the slides (from the command line type "gnuplot response.gp"). If you don't have the gnuplot program installed on your system (and don't bother to try it out) you could anyway study the source to see how you can write a simple program that computes the response of a 2DOF system.
- a notebook with the solution of the same problem and
- a notebook with a slightly different solution of the same problem.