Comparison between recent implicit time integration methods with frequency dissipation for nonlinear structural applications

Fernandes, William Luiz; Barbosa, Gustavo Botelho; Greco, Marcelo; Silveira, Ricardo Azoubel da Mota

doi:10.1590/1679-78256973

Cited by 3 publications

(1 citation statement)

References 24 publications

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“…The positional finite element method formulation applied to the dynamic problems presented here is based on the works of Oliveira and Greco [35] and Fernandes et al [36].…”

Section: Time Marching Procedures and Geometrical Nonlinear Formulationmentioning

confidence: 99%

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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“…The positional finite element method formulation applied to the dynamic problems presented here is based on the works of Oliveira and Greco [35] and Fernandes et al [36].…”

Section: Time Marching Procedures and Geometrical Nonlinear Formulationmentioning

confidence: 99%

Numerical Modeling of Lyapunov Exponents for Structural Damage Identification

et al. 2023

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Large deformations of hyperelastic curved beams based on the absolute nodal coordinate formulation

Wang

Guo

et al. 2022

Nonlinear Dyn

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Compared with traditional linear elastic materials, the soft structure composed of incompressible hyperelastic materials has not only geometrical nonlinearity but also material nonlinearity during deformation. In this paper, the absolute nodal coordinate formulation (ANCF) is used to study the large deformations and large overall motions of incompressible hyperelastic curved beams. A novel large deformation dynamic modeling method for curved beams made of hyperelastic materials is proposed, in which a simplified Neo-Hookean model is combined with the onedimensional ANCF beam element. The elastic force vector is calculated according to the exact expression of curvature. The dynamic equations are derived by using the virtual work principle. The dynamic responses of a cantilever silica gel beam under gravity are calculated based on the present method and compared with those of the improved low-order beam element (ILOBE), high-order beam element (HOBE), and commercial finite element analysis software (ANSYS). Simulation results show that the proposed method can accurately describe the large deformation and large overall motion of the beam, and has better computational efficiency. Research in this paper provides an efficient dynamic model for the dynamics analysis of soft robot arms.

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An enhanced mid-surface method for large deformation and large overall motion of hyperelastic thin plate without locking

Wang,

Sun,

2024

Nonlinear Dyn

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Comparison between recent implicit time integration methods with frequency dissipation for nonlinear structural applications

Cited by 3 publications

References 24 publications

Numerical Modeling of Lyapunov Exponents for Structural Damage Identification

Numerical Modeling of Lyapunov Exponents for Structural Damage Identification

Large deformations of hyperelastic curved beams based on the absolute nodal coordinate formulation

An enhanced mid-surface method for large deformation and large overall motion of hyperelastic thin plate without locking

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