Abstract
Analytical derivation of the impulse response functions and time-domain response analysis by the Duhamel integral are presented for single and multi-story building frames with biaxial stiffness eccentricities. The impulse response functions are derived in closed-form expressions through the Laplace transform of the equations of the coupled lateral-torsional motion and analytical solutions for the coupled responses to white noise and wind-induced force excitations are obtained. Analytical results and numerical examples show that the beat oscillations caused by the combination of responses of closely spaced modes dominate in the coupled response when the frames have small stiffness eccentricities and specific values of mass-inertia radius to stiffness radius ratio so that the natural frequencies are close. The analytical solutions presented in this paper are used to study the wind-induced vibration of high-rise buildings.
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