Three‐dimensional modal pushover analysis of buildings subjected to two components of ground motion, including its evaluation for tall buildings

Abstract

SUMMARYThe modal pushover analysis (MPA) procedure, presently restricted to one horizontal component of ground motion, is extended to three-dimensional analysis of buildings-symmetric or unsymmetric in plansubjected to two horizontal components of ground motion, simultaneously. Also presented is a variant of this method, called the practical modal pushover analysis (PMPA) procedure, which estimates seismic demands directly from the earthquake response (or design) spectrum. Its accuracy in estimating seismic demands for very tall buildings is evaluated, demonstrating that for nonlinear systems this procedure is almost as accurate as the response spectrum analysis procedure is for linear systems. Thus, for practical applications, the PMPA procedure offers an attractive alternative whereby seismic demands can be estimated directly from the (elastic) design spectrum, thus avoiding the complications of selecting and scaling ground motions for nonlinear response history analysis.

Assessment of concrete bridges subjected to ground motion with an arbitrary angle of incidence: static and dynamic approach

“…The more general case, where the minor horizontal component (dual-component seismic action or bidirectional earthquake excitation) is also taken into account in the analysis of the longitudinal or transverse response, has not been studied to date. It is noted that in the case of buildings, Reyes and Chopra (2011) recently developed a multi-mode procedure (the two horizontal earthquake components act along the building axes). For the general case wherein the ground motion acts at an arbitrary angle, the only available study (Song et al 2008) proposes a formula for the calculation of critical excitation orientation, utilising the curvatures at the bottom of bridge piers derived by two separate static nonlinear analyses wherein the force vector is parallel to the direction of each principal earthquake component.…”

Concept of Risk-Based Seismic Design of Buildings Using Methods of Nonlinear Analysis

“…Over the last two decades, the pushover-based methods become popular among both researchers and engineers, but these methods have several limitations. Many different procedures have been developed [29][30][31][32][33][34][35]. For brevity, the detailed description of these pushover-based methods is omitted in this paper.…”

Accuracy of Advanced Methods for Nonlinear Static Analysis of Steel Moment-Resisting Frames

“…In order to include the effects of higher modes, some advanced modal pushover procedures based on the elastic modal decomposition concepts have been developed in literature. Many of these procedures consider higher modes in lateral load pattern in order to take into account higher mode effects both in plan and in elevation [18][19][20][21][22][23]. In particular, in the well-known modal pushover analysis (MPA) proposed by Chopra and Goel [18] higher mode effects are considered by analysing each mode as an equivalent single-degree-of-freedom system including nonlinear properties related to that mode.…”