[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 …

Analytical solution for triply coupled torsional-flexural forced vibrations in asymmetric thin-walled beams under harmonic moving loads

Y Cai, X Li, X Lv, H Chen - Structures, 2024 - Elsevier
Asymmetric components, such as asymmetric U-shaped beams and steel rails, are used in
track engineering and bridge construction, often resulting from construction errors …

[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 …

Dynamic characteristic analysis of beam structures with nonlinear elastic foundations and boundaries

YJ Zhai, ZS Ma, B Wang, Q Ding - International Journal of Non-Linear …, 2023 - Elsevier
The research of structures with elastic foundations has attracted extensive attention and
many dynamic modeling and analysis methods for beam structures with elastic foundations …

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

JC Molina-Villegas, JEB Ortega - International Journal of Solids and …, 2023 - Elsevier
This paper presents the formulation of the Green's Function Stiffness Method (GFSM) for the
static analysis of Timoshenko frames subjected to arbitrary external loads and bending …

Stiffness identification of beam structures with elastic foundations through the global mode method and time-domain nonlinear subspace method

Y Yao, ZS Ma, Q Ding, J Han, X Sui, B Liu - Nonlinear Dynamics, 2024 - Springer
Dynamic modeling for beam structures with elastic foundations has received considerable
attention, as foundations may affect the dynamic characteristics of beam structures …

Closed-form solution of Timoshenko frames with semi-rigid connections

JC Molina-Villegas, JEB Ortega - Structures, 2023 - Elsevier
The response of steel frame structures is highly influenced by the degree of rotational
stiffness of the connections between beams and columns, which are characterized by …

[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 …

Nonlinear Forced Vibration of Curved Beam with Nonlinear Viscoelastic Ends

N Mohamed, SA Mohamed… - International Journal of …, 2024 - ui.adsabs.harvard.edu
This article develops a mathematical formulation to investigate the nonlinear forced vibration
of curved viscoelastic beam with nonlinear viscoelastic boundary conditions around buckled …

[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 …