2017
DOI: 10.1111/mice.12259
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Direct‐Iterative Hybrid Solution in Nonlinear Dynamic Structural Analysis

Abstract: Although many advanced sparse direct solvers are widely used in structural analysis, these often require longer computing times than iterative solvers for well-conditioned structural systems. However, iterative solvers cannot efficiently solve an ill-conditioned system when a structure becomes highly nonlinear. This work proposes a hybrid solution integrating a direct solver and an iterative solver to reduce overall computing time in solving a series of linear equations arising from nonlinear dynamic structura… Show more

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Cited by 8 publications
(5 citation statements)
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References 44 publications
(50 reference statements)
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“…The framework is conceived for the preliminary/conceptual (retrofit) design phase; it explicitly addresses a simplicity versus accuracy trade‐off that allows analyzing many retrofit and insurance combinations with a limited modeling and computational effort. Indeed, the analysis of the seismic response (Step 1) is based on non‐linear static procedures (analytical pushover) instead of time‐history analysis or alternative statistical techniques (e.g., Luo & Paal, 2019; Perez‐Ramirez et al., 2019; Yang et al., 2017). The analytical approach “simple lateral mechanism analysis,” NZSEE, 2017; Pampanin, 2017; Gentile et al., 2019; Del Vecchio et al., 2018; Gentile et al, 2019a,b,c is used to derive the force‐displacement capacity curves.…”
Section: Methodsmentioning
confidence: 99%
“…The framework is conceived for the preliminary/conceptual (retrofit) design phase; it explicitly addresses a simplicity versus accuracy trade‐off that allows analyzing many retrofit and insurance combinations with a limited modeling and computational effort. Indeed, the analysis of the seismic response (Step 1) is based on non‐linear static procedures (analytical pushover) instead of time‐history analysis or alternative statistical techniques (e.g., Luo & Paal, 2019; Perez‐Ramirez et al., 2019; Yang et al., 2017). The analytical approach “simple lateral mechanism analysis,” NZSEE, 2017; Pampanin, 2017; Gentile et al., 2019; Del Vecchio et al., 2018; Gentile et al, 2019a,b,c is used to derive the force‐displacement capacity curves.…”
Section: Methodsmentioning
confidence: 99%
“…( 2), k δ denotes the inaccuracy in modeling the nonlinearity after the k th iteration of the nonlinear solution, δ implies the tolerance (maximum acceptable inaccuracy in modeling the nonlinearity), and k is the maximum acceptable number of the iterations representing the available computational facility. The definition of k δ and δ can be in terms of displacement, force, energy, etc., and there are many methods for iterative nonlinear solution; see [6,25,[47][48][49][50][51][52][53][54][55][56]. It is also notable that the case k k = may be unavailable due to the divergence of the response and very large values of the response, e.g.…”
Section: The Main Conceptsmentioning
confidence: 99%
“…In practice, the great majority of structures are designed based on the elastic analysis (Shan et al, 2016;Oh et al, 2017;Kim et al, 2017). During major earthquakes, however, structural members often experience nonlinear inelastic behavior (Adeli et al, 1978;Jiang and Adeli, 2005;Yang et al, 2017). To investigate nonlinear characteristics of diagrids, a static nonlinear analysis is conducted for all models according to the provisions of FEMA-356 (2000) and FEMA-440 (2005) and examples provided in FEMA P-751 (2012).…”
Section: Nonlinear Behaviormentioning
confidence: 99%