[HTML][HTML] Evaluation of the P-Δ (P-Delta) effect in columns and frames using the two-cycle method based on the solution of the beam-column differential equation

RB Burgos, LE Silva - MethodsX, 2023 - Elsevier
P-Delta is a nonlinear phenomenon that results from the consideration of axial loads acting
on the deformed configuration of a member of the structure, usually a beam-column. This …

[HTML][HTML] A unified approach to the Timoshenko 3d beam-column element tangent stiffness matrix considering higher-order terms in the strain tensor and large rotations

MAC Rodrigues, RB Burgos, LF Martha - International Journal of Solids …, 2021 - Elsevier
A structural geometric nonlinear analysis using the finite element method (FEM) depends on
the consideration of five aspects: the interpolation (shape) functions, the bending theory, the …

Formulation for nonlinear dynamic analysis of steel frames considering the plastic zone method

HF Viana, RGL da Silva, RS Costa, ACC Lavall - Engineering Structures, 2020 - Elsevier
A corotational Lagrangian formulation for nonlinear dynamic analysis of steel planar frames
is addressed. This formulation employs the Plastic Zone Method and is capable of …

An Improved Formulation and Analysis of Reddy Beam Model for Framed Structures

MAC Rodrigues, LF Martha, JN Reddy… - Latin American Journal …, 2024 - SciELO Brasil
A structural analysis of framed structures using the finite element method considering both
the Bernoulli-Euler and the Timoshenko beam theories can be performed adopting cubic …

A unified three-dimensional nonlinear mixed formulation with analytical interpolation functions for slender column analysis

MAC Rodrigues, RB Burgos, X Du, J Hajjar… - Engineering …, 2025 - Elsevier
This study presents a unified three-dimensional mixed-element formulation using analytical
interpolation functions for the geometric nonlinear analysis of slender columns using one …

Finite element formulation of Timoshenko tapered beam-column element for large displacement analysis based on the exact shape functions

O El Gendy, E Sallam… - Australian Journal of …, 2022 - Taylor & Francis
ABSTRACT A numerical formulation was carried out in this paper to produce the tangent
stiffness matrix for two-nodal tapered Timoshenko beam-column elements for geometrically …

A novel finite element for nonlinear static and dynamic analyses of helical cables

EAW de Menezes, TV Lisbôa, RJ Marczak - Engineering Structures, 2023 - Elsevier
Cables and wire ropes are structural components designed for high axial strength and
relatively low torsion and flexure stiffness. Given the complex geometry of helical cables …

Analysis of nonlinear wave propagation within architected materials consisting of nonlinear Timoshenko beam structural elements

A Wazne, H Reda, JF Ganghoffer, H Lakiss - Wave Motion, 2024 - Elsevier
In the present work, a full nonlinear Timoshenko beam employing nonlinear shape functions
is developed. The extended Hamilton principle is employed for deriving the differential …

Geometrically nonlinear transient analysis of Timoshenko tapered beam-column element using a finite element formulation based on the exact shape functions

E Sallam, O El Gendy… - Mechanics Based Design …, 2024 - Taylor & Francis
In this paper, a numerical formulation was developed to generate the consistent mass matrix
for Timoshenko tapered beam-column element for geometrically nonlinear transient …

Static and dynamic analysis of a new offshore wind turbine system supported with outriggers

O El Gendy, MA Mohamedien… - Mechanics Based Design …, 2024 - Taylor & Francis
This article presents an innovative structural system for offshore wind turbines supported on
monopiles. The novelty of this system lies in its enhancement of the lateral stiffness of the …