MODAL COMBINATION METHOD FOR EARTHQUAKE-RESISTANT DESIGN OF TALL STRUCTURES TO MULTIDIMENSIONAL EXCITATIONS

摘要

This paper presents a modal combination method for earthquake-resistant design of structures to multidimensional seismic excitations. With the assumption that an earthquake is a stationary random vibration, the correlation among the input components is considered in the proposed method. The relationship coefficients between the translational component and rotational component is then derived in the frequency domain. The combination method of response spectrum for structural response to multidimensional earthquakes is proposed based on the random vibration theory. With the help of the derived modal correlation coefficients, the formulation for structural response to the two-dimensional earthquake excitations can be obtained. Numerical examples demonstrate the effectiveness and high precision of the proposed methods.