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Ítem 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 FloridaThis 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.Ítem Experimental Evaluation of Brick Unreinforced Masonry Wall Out-of-Plane Capacity and Modeling Using the Yield Line Method(Springer, 2024-12-12) Osorio, Fernando A.; Baena, Jose F.; Jaramillo, Juan D.; Acevedo, Ana B.; Universidad EAFITThis paper presents a theoretical model to estimate the out-of-plane (OOP) force capacity of brick unreinforced masonry (URM) walls with strong units and weak joints by applying virtual work and yield line theories for homogeneous plates. The OOP force capacity of the wall was assessed by considering mechanical properties, support conditions, external axial load, and self-weight load. The ultimate vertical and horizontal moments were calculated according to displacement and force models, respectively, developed in previous works. These models consider wall and brick geometry, shear and compression stresses in the joint–brick interface, and support conditions of the wall. The theoretical model presented herein combines the previous models while adding the tensile strength () of the mortar and assuming elastoplastic behavior of the ultimate moments in both directions. The proposed model constitutes a useful tool to assess the OOP force capacity of brick URM walls with one-way and two-way bending configurations. This paper presents results from experimental shaking table tests and test results from previously published works to validate the proposed model. The comparison between experimental and theoretical results revealed that the developed model predicts the OOP capacity if the appropriate information is available.Ítem 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 FloridaThis 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.Ítem Variational principles and finite element Bloch analysis in couple stress elastodynamics(Elsevier, 2021-06-16) Guarín-Zapata, Nicolás; Gomez, Juan; Hadjesfandiari, Ali Reza; Dargush, Gary F.; Universidad EAFIT; Central Connecticut State University; University at Buffalo; Universidad EAFIT. Escuela de Ingeniería. Grupo de Investigación Mecánica AplicadaWe address the numerical simulation of periodic solids (phononic crystals) within the framework of couple stress elasticity. The additional terms in the elastic potential energy lead to dispersive behavior in shear waves, even in the absence of material periodicity. To study the bulk waves in these materials, we establish an action principle in the frequency domain and present a finite element formulation for the wave propagation problem related to couple stress theory subject to an extended set of Bloch-periodic boundary conditions. A major difference from the traditional finite element formulation for phononic crystals is the appearance of higher-order derivatives. We solve this problem with the use of a Lagrange-multiplier approach. After presenting the variational principle and general finite element treatment, we particularize it to the problem of finding dispersion relations in elastic bodies with periodic material properties. The resulting implementation is used to determine the dispersion curves for homogeneous and porous couple stress solids, in which the latter is found to exhibit an interesting bandgap structureÍtem The Global Lambda Visualization Facility: An International Ultra-High-Definition Wide-Area Visualization Collaboratory.(Elsevier, 2006-10-01) GARCIA, MANUEL JULIO; Mecánica AplicadaÍtem Simulación numérica del flujo en turbomáquinas hidráulicas. Estado del arte y fuentes de error. Aplicación a turbinas francis(Fondo Editorial Universidad EAFIT, 2008-10-01) GARCIA, MANUEL JULIO; Mecánica AplicadaÍtem mantisGRID: A Grid Platform for DICOM Medical Images Management in Colombia and Latin America(SPRINGER, 2011-02-01) Garcia, Alvín; GARCIA, MANUEL JULIO; Mecánica AplicadaÍtem Respuesta sísmica de muros de mampostería no reforzada sometidos a aceleraciones perpendiculares a su plano(2008-11-01) Jaramillo, Juan Diego; Mecánica AplicadaÍtem Spring-Particle Model for Hypereslastic Cloth(UNIV NAC COLOMBIA, FAC NAC MINAS, 2007-03-01) GARCIA, MANUEL JULIO; Mecánica AplicadaÍtem Construction of rational models for topographic effects and size-conditioned-response-spectra(Elsevier Ltd, 2021-01-01) Vergara, Juan; Sierra C.; Mario Saenz; Jaramillo, Juan; Gomez, Juan; Mecánica AplicadaWe used the decay-with-distance effect of diffracted waves generated from the interaction of a plane wave with a geometric singularity, to establish the connection between the spectral response of a topographic profile and the minimum required sizeÍtem Seismic Response of Three-Dimensional Rockfill Dams Using the Indirect Boundary Element Method(IOP PUBLISHING LTD, 2010-07-01) Jaramillo, Juan Diego; GOMEZ, JUAN DAVID; Mecánica AplicadaÍtem Shape Optimisation of Continuum Structures via Evolutionary Strategies using Fixed Grid Finite Element Method(SPRINGER, 2004-01-01) GARCIA, MANUEL JULIO; Mecánica AplicadaÍtem Structural Optimization of as Built Parts Using Reversed Engineering and Evolution Strategies(SPRINGER, 2008-06-01) GARCIA, MANUEL JULIO; Mecánica AplicadaÍtem Estudio del movimiento superficial de un suelo multi-capas poco profundo sometido a ondas P(UNIV NAC COLOMBIA, FAC NAC MINAS, 2016-12-01) Velez, Francisco Javier; Mecánica AplicadaÍtem Lecture notes in numerical analysis(Universidad EAFIT, 2006-02-01) GARCIA, MANUEL JULIO; Mecánica AplicadaÍtem IDENTIFICACIÓN DE PROPIEDADES DINÁMICAS DE UN MODELO ESTRUCTURAL SOMETIDO A VIBRACIÓN AMBIENTAL Y VIBRACIÓN FORZADA EMPLEANDO MESA VIBRADORA(Sociedad Mexicana de Ingeniería Sismica, 2014-12-01) BOTERO, JUAN CARLOS; Mecánica AplicadaÍtem Mampostería no reforzada(2007-10-01) Jaramillo, Juan Diego; Mecánica AplicadaÍtem IE - RISS: UNA HERRAMIENTA COMPUTACIONAL PARA LA ESTIMACIÓN DE PÉRDIDAS POR SISMO EN EDIFICACIONES(UNIV NAC COLOMBIA, FAC NAC MINAS, 2012-10-01) Jaramillo, Juan Diego; Mecánica AplicadaÍtem Evaluación aproximada de la aceleración absoluta en sistemas de múltiples grados de libertad considerando la participación de n formas modales(2005-07-01) Jaramillo, Juan Diego; Mecánica AplicadaÍtem Evaluación de los Efectos Inerciales de Interacción Dinámica Suelo-Estructura para Edificaciones Ubicadas en Medellín(Fondo Editorial Universidad EAFIT, 2004-01-01) BOTERO, JUAN CARLOS; Mecánica Aplicada