[HTML][HTML] Closed-form solution for non-uniform Euler–Bernoulli beams and frames

JC Molina-Villegas, JEB Ortega, GM Martínez - Engineering Structures, 2023 - Elsevier
Non-uniform elements, such as non-prismatic and those made from composite materials, are
commonly used in structures. This is because the variation in their internal forces makes …

[HTML][HTML] Closed-form solution of Euler–Bernoulli frames in the frequency domain

JC Molina-Villegas, JEB Ortega - Engineering Analysis with Boundary …, 2023 - Elsevier
This paper presents the frequency domain formulation of the Green's Functions Stiffness
Method (GFSM) for plane Euler–Bernoulli frames subjected to arbitrary external loads …

[HTML][HTML] Analytical frequency-domain solution for Euler-Bernoulli frames with semi-rigid connections

JEB Ortega, C Posso, JC Molina-Villegas - Forces in Mechanics, 2024 - Elsevier
This paper presents a novel method for analyzing the dynamic response of plane Euler-
Bernoulli frames with semi-rigid connections subjected to arbitrary external loads and …

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 …

[HTML][HTML] Closed-form solutions for axially non-uniform Timoshenko beams and frames under static loading

JC Molina-Villegas, JEB Ortega, SB Soto - Composite Structures, 2024 - Elsevier
This paper presents the Green's Functions Stiffness Method (GFSM) for solving linear elastic
static problems in arbitrary axially non-uniform Timoshenko beams and frames subjected to …

[HTML][HTML] Closed-form solution of Timoshenko frames on elastic Winkler foundation using the Green's function stiffness method

C Posso, JC Molina-Villegas, JEB Ortega - European Journal of Mechanics …, 2025 - Elsevier
This paper presents a method to obtain the exact closed-form solution for the static analysis
of Timoshenko beams and frames on elastic Winkler foundation, subjected to arbitrary …

An evaluation of shear effect on the behavior of geometrically nonlinear structural system

T Talaslioglu, H Erkek - Journal of the Brazilian Society of Mechanical …, 2024 - Springer
The geometric nonlinearity is an important issue for the structural systems which have a
tendency of showing the large displacements. Although the axial forces have a big effect in …

[PDF][PDF] Forces in Mechanics

JEB Ortega, C Posso, JC Molina-Villegas - researchgate.net
This paper presents a novel method for analyzing the dynamic response of plane Euler-
Bernoulli frames with semi-rigid connections subjected to arbitrary external loads and …

[PDF][PDF] Informe proyecto: Análisis estático y dinámico para marcos de Timoshenko mediante FEM

CDP Sabogal, YAA Agudelo, CM Zambrano - researchgate.net
Informe proyecto: Análisis estático y dinámico para marcos de Timoshenko mediante FEM
Page 1 Informe proyecto: Análisis estático y dinámico para marcos de Timoshenko …