Analytical frequency-domain solution for Euler-Bernoulli frames with semi-rigid connections
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 bending moments. The proposed solution methodology is the Green’s Functions Stiffness Method (GFSM) in the frequency domain. The...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2024-02-01
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| Series: | Forces in Mechanics |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2666359723000872 |
| _version_ | 1797300342505865216 |
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| author | Jorge Eliecer Ballesteros Ortega Cristian Posso Juan Camilo Molina-Villegas |
| author_facet | Jorge Eliecer Ballesteros Ortega Cristian Posso Juan Camilo Molina-Villegas |
| author_sort | Jorge Eliecer Ballesteros Ortega |
| collection | DOAJ |
| description | 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 bending moments. The proposed solution methodology is the Green’s Functions Stiffness Method (GFSM) in the frequency domain. The GFSM is a mesh reduction method closely related with the Finite Element Method (FEM) sharing with it key components such as shape functions, fixed end forces, and stiffness matrices. By capitalizing on the strengths of both FEM and Green’s Functions, the GFSM facilitates the derivation of closed-form solutions for structural analysis. The formulation is initially established in the frequency domain and is later transformed into the time domain using the fast Fourier transform algorithm. To illustrate the applicability of the method, an example involving a one-bay, one-storey plane frame with semi-rigid connections is presented. |
| first_indexed | 2024-03-07T23:04:55Z |
| format | Article |
| id | doaj.art-322f4da669fe462aa94814fffa52bd03 |
| institution | Directory Open Access Journal |
| issn | 2666-3597 |
| language | English |
| last_indexed | 2024-03-07T23:04:55Z |
| publishDate | 2024-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Forces in Mechanics |
| spelling | doaj.art-322f4da669fe462aa94814fffa52bd032024-02-22T04:53:28ZengElsevierForces in Mechanics2666-35972024-02-0114100252Analytical frequency-domain solution for Euler-Bernoulli frames with semi-rigid connectionsJorge Eliecer Ballesteros Ortega0Cristian Posso1Juan Camilo Molina-Villegas2Dept. of Civil, Environmental, and Construction Engineering, University of Central Florida, Orlando, FL 32816, USAEscuela de Ciencias Aplicadas e Ingeniería, Universidad EAFIT, Medellín, ColombiaEscuela de Ciencias Aplicadas e Ingeniería, Universidad EAFIT, Medellín, Colombia; Corresponding author.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 bending moments. The proposed solution methodology is the Green’s Functions Stiffness Method (GFSM) in the frequency domain. The GFSM is a mesh reduction method closely related with the Finite Element Method (FEM) sharing with it key components such as shape functions, fixed end forces, and stiffness matrices. By capitalizing on the strengths of both FEM and Green’s Functions, the GFSM facilitates the derivation of closed-form solutions for structural analysis. The formulation is initially established in the frequency domain and is later transformed into the time domain using the fast Fourier transform algorithm. To illustrate the applicability of the method, an example involving a one-bay, one-storey plane frame with semi-rigid connections is presented.http://www.sciencedirect.com/science/article/pii/S2666359723000872Green’s functions stiffness methodGreen’s functionsClosed-form solutionDynamics of structuresFrequency domain analysisSemi-rigid connections |
| spellingShingle | Jorge Eliecer Ballesteros Ortega Cristian Posso Juan Camilo Molina-Villegas Analytical frequency-domain solution for Euler-Bernoulli frames with semi-rigid connections Forces in Mechanics Green’s functions stiffness method Green’s functions Closed-form solution Dynamics of structures Frequency domain analysis Semi-rigid connections |
| title | Analytical frequency-domain solution for Euler-Bernoulli frames with semi-rigid connections |
| title_full | Analytical frequency-domain solution for Euler-Bernoulli frames with semi-rigid connections |
| title_fullStr | Analytical frequency-domain solution for Euler-Bernoulli frames with semi-rigid connections |
| title_full_unstemmed | Analytical frequency-domain solution for Euler-Bernoulli frames with semi-rigid connections |
| title_short | Analytical frequency-domain solution for Euler-Bernoulli frames with semi-rigid connections |
| title_sort | analytical frequency domain solution for euler bernoulli frames with semi rigid connections |
| topic | Green’s functions stiffness method Green’s functions Closed-form solution Dynamics of structures Frequency domain analysis Semi-rigid connections |
| url | http://www.sciencedirect.com/science/article/pii/S2666359723000872 |
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