Análise mecânica e probabilística de estruturas treliçadas sujeitas ao colapso progressivo

Felipe, Túlio Raunyr Cândido

doi:10.11606/t.18.2019.tde-26112019-125059

Cited by 1 publication

(2 citation statements)

References 162 publications

(282 reference statements)

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“…To describe the physical nonlinearity of the structures in this article, a multilinear isotropic hardening model based on Souza Neto et al [26] was used, together with a recent ductile damage model called FLHB, described by Felipe [27].…”

Section: Multilinear Isotropic Hardeningmentioning

confidence: 99%

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Numerical Modeling of Lyapunov Exponents for Structural Damage Identification

et al. 2023

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The main purpose of this article is to discuss the use of the Lyapunov exponents to evaluate the integrity of structures. The use of such coefficients is examined in an analysis that considers the geometric and physical nonlinearities, aiming to ensure the applicability of the method in robust simulations. The material nonlinearity is modeled using the multilinear isotropic elastoplastic model together with a recently developed damage model. The nonlinear equilibrium equations solution is obtained using the positional finite element method. The Newmark time-marching procedure is implemented to evaluate the Lyapunov coefficients and a nonlinear predictor technique that needs a single data series is employed. A numerical example of a frame structure is presented to illustrate the methodology applicability. Its results show that the Lyapunov exponents can be used as indicative parameters of structural integrity, since its analysis was able to detect the occurrence of the destabilization of the structure with the dynamic jump and the presence of material failures. The non-linear predictor proved to be an efficient technique for obtaining the Lyapunov exponents, with a low computational cost. The methodology presented to monitor structural integrity was shown to be a promising alternative.

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Section: Multilinear Isotropic Hardeningmentioning

confidence: 99%

“…X 0 ) are evaluated, Equations ( 28) and ( 29) are replaced in Equation (27) given the following nonlinear dynamic equilibrium equation:…”

Section: Time Marching Procedures and Geometrical Nonlinear Formulationmentioning

confidence: 99%