Applied Mathematics and Nonlinear Sciences
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Journal

Applied Mathematics and Nonlinear Sciences


Volume
& Issue

Volume 7, Issue 2


Published
on

July 15, 2022


Pages

1231-1240


DOI

Article

Mathematical Differential Equation in Calculating the Strength of Building Beam Structure Impact Resistance

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Authors

Qing Li Affiliation:
College of Architectural Engineering, Chongqing Creation Vocational College Yongchuan, Chongqing, 402160, China.
, Hao Chen Affiliation:
College of Architectural Engineering, Chongqing Creation Vocational College Yongchuan, Chongqing, 402160, China
and Hamdy Mohamed Affiliation:
College of Engineering, Applied Science University, Bahrain


Abstract

This paper establishes a numerical simulation model of the impact resistance of building beam structures by using differential equations. The model fully considers the bolt preload, contact, large nonlinear deformation, and strain rate effect of the building beam structure. The paper establishes and deduces the calculation formulas of the impact force and the lateral displacement of the beam. The study found that under the impact load of the same strength, the failure form of the building beam structure is serious at the assembly point. The local macro/microsimulation results agree with the experimental results. The paper’s results verify the rationality and effectiveness of the numerical method in this paper.


Keywords

Building beam structure, Differential equation, Nonlinear transformation, Beam strength, 34A34


Citation

Li, Q., Chen, H., & Mohamed, H. (2022). Mathematical differential equation in calculating the strength of building beam structure impact resistance. Applied Mathematics and Nonlinear Sciences, 7(2), 1231–1240. https://doi.org/10.2478/amns.2022.2.0110
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