Analytic Methods of Modal in Real Spaces for Random Wind-induced Response of Long-Span Bridges

Recently more and more passive dynamic dampers are used in long-span bridges. These kinds of structures belong to non-classical damping structure. By traditional decoupling method, the structural displacement and velocity response cannot analyzed as linear combination of displacement and velocity response of a series of standard oscillators. For the long-span bridge’s motion equation, by using mode decomposition method decompose to a 2-DOF non-classic motion equation, and using real-space decoupling method, the structural displacement and velocity response are analyzed as a linear combination both displacement and velocity response of a series standard oscillators with clear engineering significances. Considering the correlation of series standard oscillator, variance of the structural displacement random response is analyzed and resolved into linear combination of displacement and velocity random response.