The Approximate Solution of the Nonlinear Exact Equation of Deflection of an Elastic Beam with the Galerkin Method
<p>An elastic cantilever beam with essential properties and deformation variables under a point load.</p> "> Figure 2
<p>A comparison of deflection of the first-order approximation and exact solution of deflection at the end of the beam.</p> "> Figure 3
<p>A comparison of deflection of the second-order approximation and exact solution of deflection at the end of the beam.</p> "> Figure 4
<p>A comparison of deflection of the third-order approximation and exact solution of deflection at the end of the beam.</p> ">
Abstract
:1. Introduction
2. Exact Differential Equation of the Deflection of an Elastic Beam
3. Conclusions and Discussion
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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Lian, C.; Wang, J.; Meng, B.; Wang, L. The Approximate Solution of the Nonlinear Exact Equation of Deflection of an Elastic Beam with the Galerkin Method. Appl. Sci. 2023, 13, 345. https://doi.org/10.3390/app13010345
Lian C, Wang J, Meng B, Wang L. The Approximate Solution of the Nonlinear Exact Equation of Deflection of an Elastic Beam with the Galerkin Method. Applied Sciences. 2023; 13(1):345. https://doi.org/10.3390/app13010345
Chicago/Turabian StyleLian, Chencheng, Ji Wang, Baochen Meng, and Lihong Wang. 2023. "The Approximate Solution of the Nonlinear Exact Equation of Deflection of an Elastic Beam with the Galerkin Method" Applied Sciences 13, no. 1: 345. https://doi.org/10.3390/app13010345