1. A method for modeling a physical structure having dynamic behavior associated therewith comprising: receiving material parameters and external excitation associated with a physical structure, by a decoupling unit, the received material parameters and external excitation being representative of the physical structure as a linear dynamical system with a set of coupled linear second-order ordinary equations; determining the solution to a quadratic eigenvalue problem associated with the linear dynamical system; determining of the non-classically damped modes of vibration from the solutions of the quadratic eigenvalue problem; phase synchronizing of the damped modes of vibration, using a decoupling processor; generating independent decoupled equations, the decoupled equations being a decoupled version of the coupled equations of the linear dynamical system.