Examinando por Autor "Molina Villegas, Juan Camilo"
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Publicación Calibración de Modelos Planos para Efectuar Análisis de Interacción Suelo-Estructura(Universidad EAFIT, 2010) Jaramillo Fernández, Juan Diego; Molina Villegas, Juan CamiloPublicación Closed-form solution of Timoshenko frames on elastic Winkler foundation using the Green’s function stiffness method(Elsevier, 2024-10-01) Posso, Cristian; Molina-Villegas, Juan Camilo; Ballesteros Ortega, Jorge Eliecer; Universidad EAFIT; University of Central Florida; Mecánica AplicadaThis 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 external loads and bending moments. The solution is derived using the Green’s Functions Stiffness Method (GFSM), a novel mesh reduction method that combines the strengths of the Stiffness Method (SM) and Green’s Functions (GFs). By incorporating the core concepts of the SM, the GFSM exhibits similarities to the Finite Element Method (FEM), including the use of shape functions, stiffness matrices, and fixed-end forces. The application of GFs facilitates the derivation of analytical expressions for displacement and internal force fields for arbitrary external loads and bending moments. Three examples are presented: a single-span beam, a two-span beam, and a one-bay, one-story plane frame on elastic Winkler foundations; which demonstrate applicability and efficacy of the method.Publicación Closed-form solutions for axially non-uniform Timoshenko beams and frames under static loading(Elsevier, 2024-03-23) Molina-Villegas, Juan Camilo; Ballesteros Ortega, Jorge Eliecer; Benítez Soto, Simón; Universidad EAFIT; University of Central Florida; Mecánica AplicadaThis 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 general external loads and bending moments. The GFSM is a mesh reduction method that seamlessly integrates elements from the Stiffness Method (SM), Finite Element Method (FEM), and Green’s Functions (GFs), resulting in a highly versatile methodology for structural analysis. It incorporates fundamental concepts such as stiffness matrices, shape functions, and fixed-end forces, in line with SM and FEM frameworks. Leveraging the capabilities of GFs, the method facilitates the derivation of closed-form solutions, addressing a gap in existing methods for analyzing non-uniform reticular structures which are typically limited to simple cases like single-span beams with specific axial variations and loading scenarios. The effectiveness of the GFSM is demonstrated through three practical examples, showcasing its applicability in analyzing non-uniform beams and plane frames, thereby broadening the scope of closed-form solutions for axially non-uniform Timoshenko structures.