Lie Symmetry Analysis and Conservation Laws of the Axially Loaded Euler Beam

Lie Symmetry Analysis and Conservation Laws of the Axially Loaded Euler Beam

By applying the Lie symmetry method, group-invariant solutions are constructed for axially loaded Euler beams. The corresponding mathematical models of the beams are formulated. After introducing the infinitesimal transformations, the determining equations of Lie symmetry are proposed via Lie point...

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Bibliographic Details
Main Authors: Lili Xia, Xinsheng Ge
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Mathematics
Subjects:
axially loaded Euler beam
Lie symmetry
conservation laws
multiplier method
Noether’s theorem
Online Access:https://www.mdpi.com/2227-7390/10/15/2759

Internet

https://www.mdpi.com/2227-7390/10/15/2759

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