Calculation of Linear Buckling Load for Frames Modeled with One-Finite-Element Beams and Columns
Critical linear buckling load calculation is one of the possible ways to check structural stability. Structural analysis programs usually model beams and columns with just one element, but this is not enough to obtain an accurate value of the critical buckling load when the buckling mode is associat...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-05-01
|
| Series: | Computation |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2079-3197/11/6/109 |
| _version_ | 1797595374836252672 |
|---|---|
| author | Javier Urruzola Iñaki Garmendia |
| author_facet | Javier Urruzola Iñaki Garmendia |
| author_sort | Javier Urruzola |
| collection | DOAJ |
| description | Critical linear buckling load calculation is one of the possible ways to check structural stability. Structural analysis programs usually model beams and columns with just one element, but this is not enough to obtain an accurate value of the critical buckling load when the buckling mode is associated with an effective length that is less than twice the element length. This paper presents a method for the accurate calculation of the buckling load of frames modeled with only one finite element per structural element. For this purpose, a local correction is applied to some elements a few times until convergence is achieved. The validity of the presented method is confirmed by several examples ranging from simple canonical cases to large structures. |
| first_indexed | 2024-03-11T02:36:30Z |
| format | Article |
| id | doaj.art-19caa82665c2440b910b655eda35337c |
| institution | Directory Open Access Journal |
| issn | 2079-3197 |
| language | English |
| last_indexed | 2024-03-11T02:36:30Z |
| publishDate | 2023-05-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Computation |
| spelling | doaj.art-19caa82665c2440b910b655eda35337c2023-11-18T09:54:01ZengMDPI AGComputation2079-31972023-05-0111610910.3390/computation11060109Calculation of Linear Buckling Load for Frames Modeled with One-Finite-Element Beams and ColumnsJavier Urruzola0Iñaki Garmendia1Mechanical Engineering Department, Engineering School of Gipuzkoa, University of the Basque Country UPV/EHU, Plaza de Europa, 1, E-20018 Donostia-San Sebastián, SpainMechanical Engineering Department, Engineering School of Gipuzkoa, University of the Basque Country UPV/EHU, Plaza de Europa, 1, E-20018 Donostia-San Sebastián, SpainCritical linear buckling load calculation is one of the possible ways to check structural stability. Structural analysis programs usually model beams and columns with just one element, but this is not enough to obtain an accurate value of the critical buckling load when the buckling mode is associated with an effective length that is less than twice the element length. This paper presents a method for the accurate calculation of the buckling load of frames modeled with only one finite element per structural element. For this purpose, a local correction is applied to some elements a few times until convergence is achieved. The validity of the presented method is confirmed by several examples ranging from simple canonical cases to large structures.https://www.mdpi.com/2079-3197/11/6/109structureframemechanicallinear bucklingfinite elementbeam |
| spellingShingle | Javier Urruzola Iñaki Garmendia Calculation of Linear Buckling Load for Frames Modeled with One-Finite-Element Beams and Columns Computation structure frame mechanical linear buckling finite element beam |
| title | Calculation of Linear Buckling Load for Frames Modeled with One-Finite-Element Beams and Columns |
| title_full | Calculation of Linear Buckling Load for Frames Modeled with One-Finite-Element Beams and Columns |
| title_fullStr | Calculation of Linear Buckling Load for Frames Modeled with One-Finite-Element Beams and Columns |
| title_full_unstemmed | Calculation of Linear Buckling Load for Frames Modeled with One-Finite-Element Beams and Columns |
| title_short | Calculation of Linear Buckling Load for Frames Modeled with One-Finite-Element Beams and Columns |
| title_sort | calculation of linear buckling load for frames modeled with one finite element beams and columns |
| topic | structure frame mechanical linear buckling finite element beam |
| url | https://www.mdpi.com/2079-3197/11/6/109 |
| work_keys_str_mv | AT javierurruzola calculationoflinearbucklingloadforframesmodeledwithonefiniteelementbeamsandcolumns AT inakigarmendia calculationoflinearbucklingloadforframesmodeledwithonefiniteelementbeamsandcolumns |