THE LOOP RESULTANT METHOD FOR STATIC STRUCTURAL ANALYSIS
This work deals with the loop resultant method applied to linear static response of statically indeterminate rod-systems. The method uses the representation of this system in the form of a union of statically indeterminate loops. An algorithm for construction the flexibility matrix of the system is...
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| Format: | Article |
| Language: | English |
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Publishing House ASV
2022-03-01
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| Series: | International Journal for Computational Civil and Structural Engineering |
| Subjects: | |
| Online Access: | https://ijccse.iasv.ru/index.php/ijccse/article/view/476 |
| _version_ | 1811272608047431680 |
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| author | Vladimir Lalin Huu Ngo |
| author_facet | Vladimir Lalin Huu Ngo |
| author_sort | Vladimir Lalin |
| collection | DOAJ |
| description |
This work deals with the loop resultant method applied to linear static response of statically indeterminate rod-systems. The method uses the representation of this system in the form of a union of statically indeterminate loops. An algorithm for construction the flexibility matrix of the system is proposed. The unknowns of a system are the loop resultants. This method is based on the use of compatibility equations of deformations, the general solution of homogeneous equations of equilibrium is obtained by transposition of the compatibility matrix. The advantages of this method are the number and location of zero blocks and non-zero blocks of the system flexibility matrix depend only on the numbering of loops. Application of this method is considered for analysis of structural frame.
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| first_indexed | 2024-04-12T22:43:24Z |
| format | Article |
| id | doaj.art-1c954f035f22495ab57acb78defd066c |
| institution | Directory Open Access Journal |
| issn | 2587-9618 2588-0195 |
| language | English |
| last_indexed | 2024-04-12T22:43:24Z |
| publishDate | 2022-03-01 |
| publisher | Publishing House ASV |
| record_format | Article |
| series | International Journal for Computational Civil and Structural Engineering |
| spelling | doaj.art-1c954f035f22495ab57acb78defd066c2022-12-22T03:13:38ZengPublishing House ASVInternational Journal for Computational Civil and Structural Engineering2587-96182588-01952022-03-0118110.22337/2587-9618-2021-18-1-72-81THE LOOP RESULTANT METHOD FOR STATIC STRUCTURAL ANALYSISVladimir Lalin0Huu Ngo1Peter the Great St. Petersburg Polytechnic University, St. Petersburg, RUSSIAPeter the Great St. Petersburg Polytechnic University, St. Petersburg, RUSSIA This work deals with the loop resultant method applied to linear static response of statically indeterminate rod-systems. The method uses the representation of this system in the form of a union of statically indeterminate loops. An algorithm for construction the flexibility matrix of the system is proposed. The unknowns of a system are the loop resultants. This method is based on the use of compatibility equations of deformations, the general solution of homogeneous equations of equilibrium is obtained by transposition of the compatibility matrix. The advantages of this method are the number and location of zero blocks and non-zero blocks of the system flexibility matrix depend only on the numbering of loops. Application of this method is considered for analysis of structural frame. https://ijccse.iasv.ru/index.php/ijccse/article/view/476orce method; loop resultant method; flexibility matrix; compatibility equation of deformations; statically indeterminate system |
| spellingShingle | Vladimir Lalin Huu Ngo THE LOOP RESULTANT METHOD FOR STATIC STRUCTURAL ANALYSIS International Journal for Computational Civil and Structural Engineering orce method; loop resultant method; flexibility matrix; compatibility equation of deformations; statically indeterminate system |
| title | THE LOOP RESULTANT METHOD FOR STATIC STRUCTURAL ANALYSIS |
| title_full | THE LOOP RESULTANT METHOD FOR STATIC STRUCTURAL ANALYSIS |
| title_fullStr | THE LOOP RESULTANT METHOD FOR STATIC STRUCTURAL ANALYSIS |
| title_full_unstemmed | THE LOOP RESULTANT METHOD FOR STATIC STRUCTURAL ANALYSIS |
| title_short | THE LOOP RESULTANT METHOD FOR STATIC STRUCTURAL ANALYSIS |
| title_sort | loop resultant method for static structural analysis |
| topic | orce method; loop resultant method; flexibility matrix; compatibility equation of deformations; statically indeterminate system |
| url | https://ijccse.iasv.ru/index.php/ijccse/article/view/476 |
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