DOAJ Open Access 2022

The Approximate Solution of Nonlinear Flexure of a Cantilever Beam with the Galerkin Method

Jun Zhang Rongxing Wu Ji Wang Tingfeng Ma Lihong Wang

Abstrak

For the optimal design and accurate prediction of structural behavior, the nonlinear analysis of large deformation of elastic beams has broad applications in various engineering fields. In this study, the nonlinear equation of flexure of an elastic beam, also known as an elastica, was solved by the Galerkin method for a highly accurate solution. The numerical results showed that the third-order solution of the rotation angle at the free end of the beam is more accurate and efficient in comparison with results of other approximate methods, and is perfectly consistent with the exact solution in elliptic functions. A general procedure with the Galerkin method is demonstrated for efficient solutions of nonlinear differential equations with the potential for adoption and implementation in more applications.

Topik & Kata Kunci

Technology Engineering (General). Civil engineering (General) Biology (General) Physics Chemistry

Penulis (5)

Jun Zhang

Rongxing Wu

Ji Wang

Tingfeng Ma

Lihong Wang

Format Sitasi

APA MLA BibTeX

Zhang, J., Wu, R., Wang, J., Ma, T., Wang, L. (2022). The Approximate Solution of Nonlinear Flexure of a Cantilever Beam with the Galerkin Method. https://doi.org/10.3390/app12136720

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Informasi Jurnal

Tahun Terbit: 2022
Sumber Database: DOAJ
DOI: 10.3390/app12136720
Akses: Open Access ✓