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 …

[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 …

[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] An adaptive data-driven algorithm with machine learning for modeling high-order nonlinear beam-column finite elements

EDM Martinez, N Khaji - Journal of Building Engineering, 2024 - Elsevier
Structural analyses of buildings using beam-column finite elements are typically performed
using procedures based on rotation polynomials truncated to the second order. This …

[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 …

Theoretical and experimental investigations on the stability performance of concrete-filled steel tubular X-column with regard to the flexural rigidity variation

D Chen, X Zha, Y Fan - Journal of Building Engineering, 2023 - Elsevier
The concrete-filled steel tube (CFST) X-column comprises two intersecting steel tubes filled
with concrete, having irregular cross-sections that vary along its length, leading to variation …

PSD and Cross-PSD of Responses of Seven Classes of Fractional Vibrations Driven by fGn, fBm, Fractional OU Process, and von Kármán Process

M Li - Symmetry, 2024 - mdpi.com
This paper gives its contributions in four stages. First, we propose the analytical expressions
of power spectrum density (PSD) responses and cross-PSD responses to seven classes of …

[HTML][HTML] An Efficient Petrov–Galerkin Scheme for the Euler–Bernoulli Beam Equation via Second-Kind Chebyshev Polynomials

YH Youssri, WM Abd-Elhameed, AA Elmasry… - Fractal and …, 2025 - mdpi.com
The current article introduces a Petrov–Galerkin method (PGM) to address the fourth-order
uniform Euler–Bernoulli pinned–pinned beam equation. Utilizing a suitable combination of …

An Efficient Numerical Method for Free and Forced Vibrations of Timoshenko Beams with Variable Cross-Section

IO Deneme, FF Calim - Iranian Journal of Science and Technology …, 2024 - Springer
In this study, the dynamic behaviour of beams with variable cross-sections subjected to time-
dependent loads is analyzed using the Complementary Functions Method (CFM). The …