Juan Camilo Molina-Villegas Profile : Scipedia

Documents published in Scipedia

Analysis of beams on elastic foundations using Green's functions
J. Molina-Villegas, J. Ballesteros Ortega, A. Toro

Rev. int. métodos numér. cálc. diseño ing. (2021). Vol. 37, (2), 30

Abstract
Beams on elastic foundation are basic elements within structural analysis, which are used to model foundation beams, foundation piles, retaining walls, and more complex structures that include some of these elements. For their analysis, the finite element method is usually used [1], which produces an approximate solution of the problem; and the Green’s function stiffness method [2], which produces an exact solution. This article presents a methodology 100 % based on the use of Green function’s (response to a unit point force), to obtain the exact response of beams on elastic foundation. The main advantage of this formulation is its computational low cost compared to the aforementioned alternatives, and even for a large number of problems, it can be expressed only by means of sums and integrals, which can be easily performed numerically. Also, a great variety of Green function’s for finite and infinite beams on elastic foundations with different boundary conditions are also presented, as well as some examples with the implementation of the proposed methodology.
Abstract
Beams on elastic foundation are basic elements within structural analysis, which are used to model foundation beams, foundation piles, retaining walls, and more complex [...]
- 296
- read
Analytical formulation of the stiffness method for 2D reticular structures using Green functions
J. Molina-Villegas, H. Giraldo, A. Ochoa

Rev. int. métodos numér. cálc. diseño ing. (2020). Vol. 36, (3), 46

Abstract
Green functions (F.G.) are defined as the response of a medium to a unit point load and are widely used to solve boundary value problems. Unfortunately, in structural analysis, its use is limited and they are only used indirectly and with another name in the calculation of influence lines and in the formulation of the virtual work method. This article presents the Green functions stiffness method, which is a novel methodology to obtain the analytical or exact response of two dimensional frames, which mixes the stiffnes method and the Green functions, the latter used for the calculation of displacement fields. In particular, the formulation will be carried out for bar elements (subjected to axial force), beam elements (subjected to shear force and bending moment), beam over flexible foundation elements (subjected to shear force and bending moment) and two dimensional frames (subjected to axial force, cutting force and bending moment). This formulation has as its main property that it can be used to compute the analytic reponse for any external load distribution and minimizes the number of elements to be used in discretizations. In addition, the equivalence of this formulation with that obtained by an “exact” implementation of the finite element method is presented.
Abstract
Green functions (F.G.) are defined as the response of a medium to a unit point load and are widely used to solve boundary value problems. Unfortunately, in structural analysis, [...]
- 357
- read

Articles (Documents not available in Scipedia)

Horizontal self-centering structural system in steel structures diaphragms
Dorian A. Acevedo-Mejía, David A. Padilla-Llano, Arturo E. Schultz

Journal of Constructional Steel Research
Closed-form solution of Euler–Bernoulli frames in the frequency domain
Jorge Eliecer Ballesteros Ortega

Engineering Analysis with Boundary Elements
Closed-form solution for non-uniform Euler–Bernoulli beams and frames
Jorge Eliecer Ballesteros Ortega, Giovanni Martínez Martínez

Engineering Structures
Closed-form solution of Timoshenko frames using the Green’s Function Stiffness Method
Jorge Eliecer Ballesteros Ortega

International Journal of Solids and Structures
Closed-form solution of Timoshenko frames with semi-rigid connections
Jorge Eliecer Ballesteros Ortega

Structures
Formulation of the Green’s functions stiffness method for Euler–Bernoulli beams on elastic Winkler foundation with semi-rigid connections
Jorge Eliecer Ballesteros Ortega , David Ruiz Cardona

Engineering Structures
A generalized theory for full microtremor horizontal-to-vertical [H/V(z, f)] spectral ratio interpretation in offshore and onshore environments
AM Lontsi, A García-Jerez, JC Molina-Villegas, FJ Sánchez-Sesma, ...

Geophysical Journal International 218 (2), 1276-1297, 2019
A generalized theory for full microtremor horizontal-to-vertical [H/V(z, f)] spectral ratio interpretation in offshore and onshore environments
Agostiny Marrios Lontsi, Antonio García-Jerez, Francisco José Sánchez-Sesma, Christian Molkenthin, Matthias Ohrnberger, Frank Krüger, Rongjiang Wang, Donat Fäh
A GENERALIZED THEORY FOR FULL MICROTREMOR H/V(Z, F) SPECTRAL RATIO INTERPRETATION IN OFFSHORE AND ONSHORE ENVIRONMENTS
AM Lontsi, JC Molina-Villegas, A García Jerez, FJ Sánchez-Sesma, ...

The European Seismological Commission 36th general assembly, 2018
Local Generation of Love Surface Waves at the Edge of a 2D Alluvial Valley
JC Molina-Villegas, JD Jaramillo-Fernandez, J Piña-Florez, SSF José

Bulletin of the Seismological Society of America 108 (4), 2090–2103, 2018
Local Generation of Love Surface Waves at the Edge of a 2D Alluvial Valley
Juan Diego Jaramillo-Fernández, José Piña-Flores, and Francisco José Sánchez-Sesma
Microtremor H/V(z,f) modeling for shallow sedimentary subsurface in marine environment
AM Lontsi, MV J.C., Gárcia-Jerez A., FJ Sánchez-Sesma, M Ohrnberger, ...

77 Jahrestagung der Deutschen Geophysikalischen Gesellschaft, 2017
The inversion of spectral ratio H/V in a layered system using the diffuse field assumption (DFA)
J Piña-Flores, M Perton, A García-Jerez, E Carmona, F Luzón, ...

Geophysical Journal International, ggw416, 2016
The inversion of spectral ratio H/V in a layered system using the diffuse field assumption (DFA)
José Piña-Flores, Mathieu Perton, Antonio García-Jerez, Enrique Carmona, Francisco Luzón, Francisco J. Sánchez-Sesma
Computing the Dynamic Response of a Stratified Elastic Half Space Using Diffuse Field Theory
FJ Sanchez-Sesma, M Perton, JC Molina Villegas

AGU Fall Meeting Abstracts, 2015
Full microtremor H/V(z, f) inversion for shallow subsurface characterization
AM Lontsi, FJ Sánchez-Sesma, JC Molina-Villegas, M Ohrnberger, ...

Geophysical Journal International 202 (1), 298-312, 2015
Full Microtremor H/V(z,f) Inversion for Shallow Subsurface Characterization
Agostiny Marrios Lontsi, Francisco José Sánchez-Sesma, Matthias Ohrnberger, Frank Krüger
Generalized Diffuse Field Within a 2d Alluvial Basin: a Numerical Example
J Molina Villegas, M Baena, J Piña, M Perton, M Suarez, ...

AGU Spring Meeting Abstracts, 2013
Using Acceleration Records as Diffuse Fields for Tomography of the Valley of Mexico City: Synthetic Results
M Baena, M Perton, JC Molina-Villegas, FJ Sanchez-Sesma

AGU Fall Meeting Abstracts, 2013
Calibración de Modelos Planos para Efectuar Análisis de Interacción Suelo-Estructura
JD Jaramillo Fernández, JC Molina Villegas

Universidad EAFIT, 2010

information

Submit your paper

Become a journal editor

Create a new collection

Create an organization profile

Open access

Documents published in Scipedia

Analysis of beams on elastic foundations using Green's functions

Analytical formulation of the stiffness method for 2D reticular structures using Green functions

Articles (Documents not available in Scipedia)

Horizontal self-centering structural system in steel structures diaphragms

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

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

Closed-form solution of Timoshenko frames using the Green’s Function Stiffness Method

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

Formulation of the Green’s functions stiffness method for Euler–Bernoulli beams on elastic Winkler foundation with semi-rigid connections

A generalized theory for full microtremor horizontal-to-vertical [H/V(z, f)] spectral ratio interpretation in offshore and onshore environments

A generalized theory for full microtremor horizontal-to-vertical [H/V(z, f)] spectral ratio interpretation in offshore and onshore environments

A GENERALIZED THEORY FOR FULL MICROTREMOR H/V(Z, F) SPECTRAL RATIO INTERPRETATION IN OFFSHORE AND ONSHORE ENVIRONMENTS

Local Generation of Love Surface Waves at the Edge of a 2D Alluvial Valley

Local Generation of Love Surface Waves at the Edge of a 2D Alluvial Valley

Microtremor H/V(z,f) modeling for shallow sedimentary subsurface in marine environment

The inversion of spectral ratio H/V in a layered system using the diffuse field assumption (DFA)

The inversion of spectral ratio H/V in a layered system using the diffuse field assumption (DFA)

Computing the Dynamic Response of a Stratified Elastic Half Space Using Diffuse Field Theory

Full microtremor H/V(z, f) inversion for shallow subsurface characterization

Full Microtremor H/V(z,f) Inversion for Shallow Subsurface Characterization

Generalized Diffuse Field Within a 2d Alluvial Basin: a Numerical Example

Using Acceleration Records as Diffuse Fields for Tomography of the Valley of Mexico City: Synthetic Results

Calibración de Modelos Planos para Efectuar Análisis de Interacción Suelo-Estructura

information

Sign up at Scipedia and complete your profile

Click on "CREATE A DOCUMENT" in your profile page

Upload your manuscript in LaTeX or Word, or create it from scratch with our online editor

Click on "SUBMIT FOR PUBLICATION" at the manuscript page, and select your preferred journal or collection

Click on "SUBMIT FOR PUBLICATION" at the manuscript page, select your preferred collection and complete the submission form

The editorial board will ensure that the publishing requirements are adhered to, before your paper is published

Colleagues

Followers

Lakhani, Bhavinbhai 489

Ballesteros Ortega, Jorge Eliecer 17

Quezon, Emer T. 12372

Tena Colunga, Arturo 903

contributions

external references