Masonry arch collapse loads and mechanisms by heuristically seeded genetic algorithm

Ponterosso, Pasquale; Fishwick, R. J.; Fox, Dominic; Liu, X.L; Begg, David

doi:10.1016/s0045-7825(99)00477-6

Cited by 6 publications

(3 citation statements)

References 6 publications

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“…It makes use of an optimisation function named "Solver", which allows for the selection of a GRG (Generalised Reduced Gradient) engine, towards the solution of smooth non-linear optimisation problems. Similar, independent numerical tools of thrust-line or limit analysis, which may as well involve the use of spreadsheets and formulations of mathematical programming have been proposed [29][30][31][32][33][34][35]. An approach that shall be quite similar to the present one has been earlier developed by De Rosa and Galizia [34], for the analysis of pointed masonry arches.…”

Section: Numerical Approachmentioning

confidence: 99%

Analytical and numerical analysis on the collapse modes of least-thickness circular masonry arches at decreasing friction

Cocchetti¹,

Rizzi

2019

Frattura Ed Integrità Strutturale

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Departing from pioneering Heyman modern rational investigations on the purely-rotational collapse mode of least-thickness circular masonry arches, the hypothesis that joint friction shall be high enough to prevent inter-block sliding is here released. The influence of a reducing Coulomb friction coefficient on the collapse modes of the arch is explicitly inspected, both analytically and numerically, by tracing the appearance of purely-rotational, mixed sliding-rotational and purely-sliding modes. A classical doubly built-in, symmetric, complete semi-circular arch, with radial joints, under self-weight is specifically considered, for a main illustration. The characteristic values of the friction coefficient limiting the ranges associated to each collapse mode are first analytically derived and then numerically identified, by an independent self-implementation, with consistent outcomes. Explicit analytical representations are provided to estimate the geometric parameters defining the limit equilibrium states of the arch, specifically the minimum thickness to radius ratio, at reducing friction. These formulas, starting from the analysis of classical Heymanian instance of purely-rotational collapse, make new explicit reference to the mixed slidingrotational collapse mode, arising within a narrow range of limited friction coefficients (or friction angles). The obtained results are consistently compared to existing numerical ones from the competent literature. 1

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Section: Numerical Approachmentioning

confidence: 99%

Analytical and numerical analysis on the collapse modes of least-thickness circular masonry arches at decreasing friction

Cocchetti¹,

Rizzi

2019

Frattura Ed Integrità Strutturale

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“…In [47], Ponterosso et al present a heuristic GA to optimize collapse loads of masonry arches, which improves the results of the standard GA. Spallino and Thierauf [48] use evolution strategies for the optimal design of laminated composite subject to thermal buckling with stress and contiguity of layers constraints, comparing two methods of constraint handling: discarding infeasible solutions and a penalty function. Sziveri et al [49] present an improved sub-domain generation method (SGM) by inserting a new nonconvex bisection procedure and a new optimization module based on GAs.…”

Section: The Early Two-thousandsmentioning

confidence: 99%

Optimum Structural Design Using Bio-Inspired Search Methods: A Survey and Applications

Greiner

Emperador²,

Galván³

et al. 2014

Computational Intelligence in Aerospace Sciences

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“…de todos estos tipos se han utilizado en el intento de resolver problemas estructurales. Por ejemplo,Lagaros et al (2002) aplican 17 GA y ES al dimensionado óptimo de elementos estructurales;Kaveh et al (2004a),Kaveh et al (2004b),Kaveh et al (2007) yKaveh et al (2008) aplican GA y ACO al análisis de la formación de mecanismos en pórticos planos.En un terreno mucho más cercano a esta tesis, varios autores los han propuesto para el análisis de arcos:Fishwick et al (2000) yPonterosso et al (2000) mediante GA, y vanParys et al (2008)…”

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El problema del rozamiento en el análisis de estructuras de fábrica mediante modelos de sólidos rígidos

Layos¹

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IntroducciónParte I: El problema del rozamiento en las estructuras de fábrica.1 Notas históricas sobre la aplicación del análisis límite a las estructuras de fábrica 1.1 Introducción 4 La obtención de soluciones mediante programación matemática: la implementación 4.1 Introducción 4.1.1 La programación matemática y la teoría de la plasticidad 4.2 Comprobación de una solución de inicio de colapso 4.2.1 Introducción 4.2.2 Formulación del problema 4.2.3 Solución mediante programación lineal 4.2.4 Complejidad de obtención de la solución 4.2.5 Aplicaciones

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Masonry arch collapse loads and mechanisms by heuristically seeded genetic algorithm

Cited by 6 publications

References 6 publications

Analytical and numerical analysis on the collapse modes of least-thickness circular masonry arches at decreasing friction

Analytical and numerical analysis on the collapse modes of least-thickness circular masonry arches at decreasing friction

Optimum Structural Design Using Bio-Inspired Search Methods: A Survey and Applications

El problema del rozamiento en el análisis de estructuras de fábrica mediante modelos de sólidos rígidos

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