Investigation into the calculation of aerodynamic damping of structural assemblies

An M(M-1K)m proportional damping in explicit integration of dynamic structural systems

“…In this section, we consider direct integration of the system (9) by using the algorithm for M(M −1 K) m damping in an explicit code. Since the central di erence time integration employed (25) is from the class of linear time integration methods, the same result would be obtained if one ÿrstly performed modal decomposition and then integrated each mode or if direct integration was performed without modal decomposition. 21 In this context, we assemble a numerical example of the system (9) such that the highest frequency of the system is !…”