“…The inventive methods for earthquake structure response analysis and design are based on precise dynamic modeling and simulation. The up-to-date methods for multibody system dynamics simulation taking into account nonlinear behavior of the large flexible structures could be classify in three basic groups: floating frame of references (Shabana, 2005), finite elements in relative coordinates (Zahariev, 2006); and absolute nodal coordinate formulation (Shabana, 1996;Shabana and Mikkola, 2003). The large structures and mechanical devices like skyscrapers, antenna, wind power generators (WPG), etc., are typical multibody systems compiled of rigid and flexible parts with nonlinear behavior.…”