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

<p>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.</p>
</abstract>

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.

Mechanics of Building Structural Materials Based on Lagrangian Mathematical Model Analysis

Applied Mathematics and Nonlinear Sciences

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

This paper approximately analyzes the dynamic response mode of building materials under impact load according to the Lagrange equation. We use the redundant...

Mechanics of Building Structural Materials Based on Lagrangian Mathematical Model Analysis

Published Online: Jul 15, 2022

Page range: 1067 - 1076

Received: Feb 28, 2022

Accepted: Apr 26, 2022

DOI: https://doi.org/10.2478/amns.2022.2.0091

Keywords
Langrangian, Building structure, Material mechanics, Equilibrium equation

© 2023 Yikun Zhang et al., published by Sciendo

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

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Mechanics of Building Structural Materials Based on Lagrangian Mathematical Model Analysis

Published Online: Jul 15, 2022

Page range: 1067 - 1076

Received: Feb 28, 2022

Accepted: Apr 26, 2022

DOI: https://doi.org/10.2478/amns.2022.2.0091

KeywordsLangrangian, Building structure, Material mechanics, Equilibrium equation

© 2023 Yikun Zhang et al., published by Sciendo

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

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

Figure 6

Keywords
Langrangian, Building structure, Material mechanics, Equilibrium equation