Keywords:vibrations, damping, matrix algebra, integration, linear systems
In 1, the authors consider n-degree-of-freedom non-classically damped linear systems. They write the system representation in the modal coordinates as
for all where the vector of displacements the symmetric and non-negative matrix corresponds to the modal damping matrix, and the diagonal matrix
has the square of the undamped natural frequencies of the system, on its diagonal.
The authors write that “The currently available...