After a brief review of time- and frequency-domain tail-equivalent linearization methods (TELM) for uniform excitation problems, this paper extends TELM for application to nonlinear systems subjected to multisupport seismic excitations. The spatial variability of the ground motion is represented by a coherency function that characterizes the incoherence, wave-passage, and site-response effects. It is found that for multisupport excitation problems, it is most convenient to formulate TELM by using the ground displacement as input. The resulting tail-equivalent linear system (TELS) is defined by frequency-response functions relating the response quantity of interest to each support displacement. A method to reduce the number of random variables in the TELM analysis is introduced. The proposed method is demonstrated through numerical examples with varying structural properties and ground motion coherency in order to investigate various aspects of TELM and the major influences of differential support motions on a nonlinear system.

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tailequivalent linear system tels random variables nonlinear systems subjected the incoherence wavepassage and siteresponse effects spatial variability of the ground motion ground displacement varying structural properties multisupport excitation time and frequencydomain tailequivalent linearization methods coherency function differential support motions frequencyresponse functions response quantity telm analysis

Ziqi Wang,Armen Der Kiureghian,.Tail-Equivalent Linearization of Inelastic Multisupport Structures Subjected to Spatially Varying Stochastic Ground Motion. 142 (8),.

Ziqi Wang,Armen Der Kiureghian,"Tail-Equivalent Linearization of Inelastic Multisupport Structures Subjected to Spatially Varying Stochastic Ground Motion" 142

Ziqi Wang,Armen Der Kiureghian,"Tail-Equivalent Linearization of Inelastic Multisupport Structures Subjected to Spatially Varying Stochastic Ground Motion"