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"), or simply study to see a simple program that computes the response of a 2DOF system.