LAUSR

A formulation is developed for analyzing the dynamic response of multi-support structures with coupled non-classical damping using spectral moments instead of the frequently used cross-correlation coefficients. Its advantages are that the formulation considering the modal response variances and cross-covariances is more efficient in calculation than the conventional formulation, and the coupled damping of structure is taken into consideration. For the dynamic analysis of a structure equipped with coupled damper, the classical mode decomposition method is inapplicable and the velocity term of the external load in vibration equation cannot be neglected. The dynamic equation is firstly decoupled by complex mode decomposition method in this paper. Then, the complete SRSS rule (c-SRSS) addressed by Heredia-Zavoni [2011, 2015] is developed to consider the non-classically damping system under multi-support excitations. Moreover, spectral moments of orders higher than 3 are newly introduced into the dynamic analysis and the convergence difficulty for these spectral moments is overcome by employing the band-limited power spectra. A large-span structure equipped with a coupled damper is taken as an example to calculate its dynamic response using the conventional and proposed formulations, and numerical results show that the proposed formulation is accurate and efficient.