Displacement Field Approximations for Force-Based Elements in Large Displacement Analyses
This paper investigates different approximation techniques for planar beam column elements in force-based methods. The three fields, introduced in this review, are: curvature-based displacement interpolation (CBDI) used in matrix-based flexibility formulations, linear displacement approximation appl...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/516290 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832558087558397952 |
|---|---|
| author | M. Vahidi V. Jafari M. H. Abyaneh SH. Vahdani |
| author_facet | M. Vahidi V. Jafari M. H. Abyaneh SH. Vahdani |
| author_sort | M. Vahidi |
| collection | DOAJ |
| description | This paper investigates different approximation techniques for planar beam column elements in force-based methods. The three fields, introduced in this review, are: curvature-based displacement interpolation (CBDI) used in matrix-based flexibility formulations, linear displacement approximation applied in state space, and higher-order displacement approximation utilized again in state space. Using these three approximation fields, the responses and their accuracies in some systems are compared in examples. Finally, focusing on the accuracy and regarding the performed analyses, it seems that the computational cost is reduced and accuracy of responses is elevated in many engineering problems using the higher-order approximation field in state space. |
| format | Article |
| id | doaj-art-32fffcff08a5498091fc0b7361a0914b |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-32fffcff08a5498091fc0b7361a0914b2025-02-03T01:33:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/516290516290Displacement Field Approximations for Force-Based Elements in Large Displacement AnalysesM. Vahidi0V. Jafari1M. H. Abyaneh2SH. Vahdani3School of Civil Engineering, College of Engineering, University of Tehran, P.O. Box 11365-4563, Tehran, IranSchool of Civil Engineering, College of Engineering, University of Tehran, P.O. Box 11365-4563, Tehran, IranSchool of Civil Engineering, College of Engineering, University of Tehran, P.O. Box 11365-4563, Tehran, IranSchool of Civil Engineering, College of Engineering, University of Tehran, P.O. Box 11365-4563, Tehran, IranThis paper investigates different approximation techniques for planar beam column elements in force-based methods. The three fields, introduced in this review, are: curvature-based displacement interpolation (CBDI) used in matrix-based flexibility formulations, linear displacement approximation applied in state space, and higher-order displacement approximation utilized again in state space. Using these three approximation fields, the responses and their accuracies in some systems are compared in examples. Finally, focusing on the accuracy and regarding the performed analyses, it seems that the computational cost is reduced and accuracy of responses is elevated in many engineering problems using the higher-order approximation field in state space.http://dx.doi.org/10.1155/2012/516290 |
| spellingShingle | M. Vahidi V. Jafari M. H. Abyaneh SH. Vahdani Displacement Field Approximations for Force-Based Elements in Large Displacement Analyses Journal of Applied Mathematics |
| title | Displacement Field Approximations for Force-Based Elements in Large Displacement Analyses |
| title_full | Displacement Field Approximations for Force-Based Elements in Large Displacement Analyses |
| title_fullStr | Displacement Field Approximations for Force-Based Elements in Large Displacement Analyses |
| title_full_unstemmed | Displacement Field Approximations for Force-Based Elements in Large Displacement Analyses |
| title_short | Displacement Field Approximations for Force-Based Elements in Large Displacement Analyses |
| title_sort | displacement field approximations for force based elements in large displacement analyses |
| url | http://dx.doi.org/10.1155/2012/516290 |
| work_keys_str_mv | AT mvahidi displacementfieldapproximationsforforcebasedelementsinlargedisplacementanalyses AT vjafari displacementfieldapproximationsforforcebasedelementsinlargedisplacementanalyses AT mhabyaneh displacementfieldapproximationsforforcebasedelementsinlargedisplacementanalyses AT shvahdani displacementfieldapproximationsforforcebasedelementsinlargedisplacementanalyses |