Convergence of iterative methods for nonclassically damped dynamic systems (Q1320121)

Dynamic structural systems modeled by linear second order differential equations of motion are considered. The damping matrix is assumed to be a real general matrix (nonclassical damping) and therefore cannot be simultaneously diagonalized with mass matrix and the stiffness matrix. Two iterative schemes for determining the system response are presented. A rigorous convergence analysis is given. The methods are illustrated by three numerical examples.