Mechanical Sciences
Mechanical Sciences
Mechanical Sciences
Articles | Volume 9, issue 1
Articles | Volume 9, issue 1
https://doi.org/10.5194/ms-9-71-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/ms-9-71-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 9, issue 1
Research article
 | 
16 Feb 2018
Research article |  | 16 Feb 2018

Determining the range of allowable axial force for the third-order Beam Constraint Model

Fulei Ma, Guimin Chen, and Guangbo Hao

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Latest update: 14 May 2025
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Short summary
The Beam Constraint Model (BCM) may yield large predicting errors (> 5 %) when the applied axial force goes beyond a certain boundary. We mathematically determine the nondimensional boundary of the axial force by the conditions of the positive definite quadratic form of the strain energy expression and the buckling load expressions. If the axial force is beyond the boundary, the Chained Beam Constraint Model (CBCM) can be used instead.
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