Optimal location of actuators for active damping of vibration

This computational method is formulated in modal coordinates and is based on the so-called progressive collapse analogy of an adjoint structure made of a hypothetical elastic-brittle material and having the same shape as the eigenmodes of the structure to be controlled. The simulation of progressive collapse for the adjoint structure provides us (as a side effect) with the location of the most sensitive spots, the best for placement of actuators. The presented methodology can be applied to damping of free vibration as well as to quasistatic shape control problems