<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

This paper establishes a numerical simulation model of the impact resistance of building beam structures by using differential equations. The model fully...

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

Published Online: Jul 15, 2022

Page range: 1231 - 1240

Received: Feb 17, 2022

Accepted: Apr 28, 2022

DOI: https://doi.org/10.2478/amns.2022.2.0110

Keywords
Building beam structure, Differential equation, Nonlinear transformation, Beam strength

© 2023 Qing Li et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

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

Published Online: Jul 15, 2022

Page range: 1231 - 1240

Received: Feb 17, 2022

Accepted: Apr 28, 2022

DOI: https://doi.org/10.2478/amns.2022.2.0110

KeywordsBuilding beam structure, Differential equation, Nonlinear transformation, Beam strength

© 2023 Qing Li et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
Building beam structure, Differential equation, Nonlinear transformation, Beam strength