A new spatial coherence model and analytical coefficients for multi-support response spectrum combination

作者：Wang Junjie^*; Hu Chen

来源：Earthquake Engineering and Engineering Vibration, 2007, 6(3): 225-235.

DOI：10.1007/s11803-007-0740-4

• multi-support seismic excitations
• spatial coherence model
• modal combination coefficients
• computational efficiency
• power spectrum density

In this paper, a new spatial coherence model of seismic ground motions is proposed by a fitting procedure. The analytical expressions of modal combination (correlation) coefficients of structural response are developed for multi-support seismic excitations. The coefficients from both the numerical integration and analytical solutions are compared to verify the accuracy of the solutions. It is shown that the analytical expressions of numerical modal combination coefficients are of high accuracy. The results of random responses of an example bridge show that the analytical modal combination coefficients developed in this paper are accurate enough to meet the requirements needed in practice. In addition, the computational efficiency of the analytical solutions of the modal combination coefficients is demonstrated by the response computation of the example bridge. It is found that the time required for the structural response analysis by using the analytical modal combination coefficients is less than 1/20 of that using numerical integral methods.

• 出版日期2007-9
• 单位同济大学