Mechanics of Building Structural Materials Based on Lagrangian Mathematical Model Analysis
This paper approximately analyzes the dynamic response mode of building materials under impact load according to the Lagrange equation. We use the redundant constraint force of the statically indeterminate structure to list its strain energy expression. At the same time, the paper introduces the Lag...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Sciendo
2023-01-01
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| Series: | Applied Mathematics and Nonlinear Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.2478/amns.2022.2.0091 |
| _version_ | 1797688784445243392 |
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| author | Zhang Yikun Chen Hao Zhu Jiankai Mohamed Hamdy |
| author_facet | Zhang Yikun Chen Hao Zhu Jiankai Mohamed Hamdy |
| author_sort | Zhang Yikun |
| collection | DOAJ |
| description | This paper approximately analyzes the dynamic response mode of building materials under impact load according to the Lagrange equation. We use the redundant constraint force of the statically indeterminate structure to list its strain energy expression. At the same time, the paper introduces the Lagrange multiplier and combines the static equilibrium equation to obtain the internal force of the statically indeterminate structure. The calculation results show that the load duration and peak value are important factors determining structural members’ failure mode. This study lays the foundation for the research on the structural building material’s dynamic control and mechanism performance. At the same time, our research results also provide methods and ideas for the rigid body dynamics modeling of other structural redundant parallel mechanisms. |
| first_indexed | 2024-03-12T01:35:40Z |
| format | Article |
| id | doaj.art-f377fb72edca4e2b9c2fe13abebe3656 |
| institution | Directory Open Access Journal |
| issn | 2444-8656 |
| language | English |
| last_indexed | 2024-03-12T01:35:40Z |
| publishDate | 2023-01-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Applied Mathematics and Nonlinear Sciences |
| spelling | doaj.art-f377fb72edca4e2b9c2fe13abebe36562023-09-11T07:01:09ZengSciendoApplied Mathematics and Nonlinear Sciences2444-86562023-01-01811067107610.2478/amns.2022.2.0091Mechanics of Building Structural Materials Based on Lagrangian Mathematical Model AnalysisZhang Yikun0Chen Hao1Zhu Jiankai2Mohamed Hamdy31College of Architectural Engineering, Chongqing Creation Vocational College Yongchuan, Chongqing, 402160, China1College of Architectural Engineering, Chongqing Creation Vocational College Yongchuan, Chongqing, 402160, China1College of Architectural Engineering, Chongqing Creation Vocational College Yongchuan, Chongqing, 402160, China2College of Engineering, Applied Science University, BahrainThis paper approximately analyzes the dynamic response mode of building materials under impact load according to the Lagrange equation. We use the redundant constraint force of the statically indeterminate structure to list its strain energy expression. At the same time, the paper introduces the Lagrange multiplier and combines the static equilibrium equation to obtain the internal force of the statically indeterminate structure. The calculation results show that the load duration and peak value are important factors determining structural members’ failure mode. This study lays the foundation for the research on the structural building material’s dynamic control and mechanism performance. At the same time, our research results also provide methods and ideas for the rigid body dynamics modeling of other structural redundant parallel mechanisms.https://doi.org/10.2478/amns.2022.2.0091langrangianbuilding structurematerial mechanicsequilibrium equation60g70 |
| spellingShingle | Zhang Yikun Chen Hao Zhu Jiankai Mohamed Hamdy Mechanics of Building Structural Materials Based on Lagrangian Mathematical Model Analysis Applied Mathematics and Nonlinear Sciences langrangian building structure material mechanics equilibrium equation 60g70 |
| title | Mechanics of Building Structural Materials Based on Lagrangian Mathematical Model Analysis |
| title_full | Mechanics of Building Structural Materials Based on Lagrangian Mathematical Model Analysis |
| title_fullStr | Mechanics of Building Structural Materials Based on Lagrangian Mathematical Model Analysis |
| title_full_unstemmed | Mechanics of Building Structural Materials Based on Lagrangian Mathematical Model Analysis |
| title_short | Mechanics of Building Structural Materials Based on Lagrangian Mathematical Model Analysis |
| title_sort | mechanics of building structural materials based on lagrangian mathematical model analysis |
| topic | langrangian building structure material mechanics equilibrium equation 60g70 |
| url | https://doi.org/10.2478/amns.2022.2.0091 |
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