Alternative active nonlinear total Lagrangian truss finite element applied to the analysis of cable nets and long span suspension bridges

Coda, Humberto Breves; Silva, Adriana Patrícia de Oliveira; Paccola, Rodrigo Ribeiro

doi:10.1590/1679-78255818

Cited by 7 publications

(4 citation statements)

References 28 publications

(41 reference statements)

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“…Crusells-Girona et al [12] proposed a general finite element technique for the nonlinear analysis of cable structures depending on curvilinear coordinates by using a mixed variational formulation that used small numbers of finite elements for detecting nodal displacements and axial internal forces. Moreover, a different total Lagrangian finite element for geometric nonlinearity is set out by Coda et al [13] to analyze cable nets and a wide-span suspended bridge.…”

Section: Finite Element Approachmentioning

confidence: 99%

Nonlinear structural analysis technique based on flexibility method by Pade approximants

Abdulkarim,

Saeed

2024

PJBAS

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This work proposes an improved numerical methodology based on the flexibility method to study the geometric nonlinearity of space cable structures. The proposed approach makes use of the Pade approximation to enhance the performance of computation. The transformation to the Pade arrangement is particularly successful in quickly speeding up convergence and obtaining the solution when working with complex structures that demonstrate geometrically nonlinear properties. In contrast to previous approaches, the suggested method directly solves the problem by formulating an algebraic system of nonlinear equations using the Pade approximation. To arrive at an analytical solution, some of the most well-established methods that make use of iterative techniques include dynamic relaxation, finite element analysis, and minimum total potential energy. A comprehensive evaluation of the proposed technique's precision and reliability was conducted using six different numerical examples. The recommended method's accuracy, consistency, and computational efficiency are shown by carefully comparing the results with those of techniques that have been around for a long time.

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Section: Finite Element Approachmentioning

confidence: 99%

Nonlinear structural analysis technique based on flexibility method by Pade approximants

Abdulkarim,

Saeed

2024

PJBAS

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“…Developing sophisticated numerical models and simulation methods to better comprehend and measure these nonlinearities has been the main focus of recent research projects [19,26,60,[63][64][65][66][67]. Computational methods and finite element analysis (FEA) have helped shed light on dynamic loading situations, geometric configurations, and nonlinear behavior of materials [21,[68][69][70][71]. Experimental experiments have also helped capture real-world nonlinear reactions and validate numerical models [72,73].…”

Section: Dynamic Nonlinearitiesmentioning

confidence: 99%

A Review of Nonlinear Control Strategies for Shape and Stress in Structural Engineering

Saeed,

Abdulkarim

2024

Nonlinear Systems - Recent Advances and Application [Working Title]

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Structural engineering plays a pivotal role in ensuring the safety, stability, and longevity of civil infrastructure. As the demand for innovative and efficient structural designs grows, the need for advanced control strategies becomes increasingly apparent. This comprehensive review examines the state-of-the-art nonlinear control strategies for shape and stress in structural engineering. Recognizing the limitations of conventional linear approaches, the chapter systematically explores diverse methodologies such as adaptive control, neural networks, fuzzy logic, and model predictive control. It analyzes their individual and integrated applications in shaping structural form and managing stress levels. The review considers the intricate interplay between shape and stress control strategies, addresses challenges, and proposes future research directions. Case studies and a comparative analysis offer practical insights into the performance and adaptability of these strategies. By emphasizing advances in materials, technologies, and sustainability, this chapter provides a holistic perspective on the evolving landscape of nonlinear control in structural engineering. This synthesis aims to guide researchers and practitioners toward innovative solutions that enhance the safety, resilience, and efficiency of structural systems.

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“…In this technique, positions, instead of displacements, are used as the main variables to discretize solids and structures. It has been successfully used in several works with good results for unconstrained dynamic analyses (Coda et al, 2020;Siqueira and Coda, 2019;Coda and Paccola, 2014;Coda and Paccola, 2011;Coda et al, 2013). As far as the authors knowledge goes, for constrained cases the positional FEM has been used only for bilateral sliding connections of plane frames using the Newmark-β time integrator (Siqueira and Coda, 2016;Siqueira and Coda, 2017).…”

Section: Introductionmentioning

confidence: 99%

Dynamical analysis of sliding connections with mesh independent roughness by a total Lagrangian FEM

Siqueira

Rodríguez²,

Coda

2022

Lat. Am. j. solids struct.

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Sliding connections are present in several applications on the mechanics, civil and aerospace industries. A framework consisting on an accurate and stable formulation to describe the dynamics of flexible systems with sliding connections is developed. The total Lagrangian positional approach of the Finite Element Method is employed using 2D solid and frame elements to discretize bodies and connections. This allows a wide range of applications, particularly the local modelling of joints. The proposed formulation includes roughness along sliding paths independent from the finite element geometry discretization. Following variational principles, Lagrange multipliers are used to impose sliding constraints on the equations of motion. A direct time integration is performed by the generalized-α method and its stability in the present finite deformation context is evaluated. The resulting nonlinear equations are solved by the Newton-Raphson method. Examples are presented where the proposed framework is evaluated regarding its dynamical behavior and to solve practical scenarios for which sliding modelling is a necessity.

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Alternative active nonlinear total Lagrangian truss finite element applied to the analysis of cable nets and long span suspension bridges

Cited by 7 publications

References 28 publications

Nonlinear structural analysis technique based on flexibility method by Pade approximants

Nonlinear structural analysis technique based on flexibility method by Pade approximants

A Review of Nonlinear Control Strategies for Shape and Stress in Structural Engineering

Dynamical analysis of sliding connections with mesh independent roughness by a total Lagrangian FEM

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