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

Show simple item record

dc.contributor.author Ma, Fulei
dc.contributor.author Chen, Guimin
dc.contributor.author Hao, Guangbo
dc.date.accessioned 2018-06-15T11:47:09Z
dc.date.available 2018-06-15T11:47:09Z
dc.date.issued 2018
dc.identifier.citation Ma, F., Chen, G. and Hao, G. (2018) 'Determining the range of allowable axial force for the third-order Beam Constraint Model', Mechanical Sciences, 9, pp. 71-79. doi: 10.5194/ms-9-71-2018 en
dc.identifier.volume 9
dc.identifier.issued 1
dc.identifier.startpage 71
dc.identifier.endpage 79
dc.identifier.issn 2191-9151
dc.identifier.uri http://hdl.handle.net/10468/6322
dc.identifier.doi 10.5194/ms-9-71-2018
dc.description.abstract The Beam Constraint Model (BCM) was developed for the purpose of accurately and analytically modeling nonlinear behaviors of a planar beam flexure over an intermediate range of transverse deflections (10% of the beam length). The BCM is expressed in the form of Taylor's expansion associated with the axial force. It has been found that the BCM may yield large predicting errors (> 5 %) when the applied axial force goes beyond a certain boundary, even the deflection is still in the intermediate range. However, this boundary has not been clearly identified so far. In this work, we mathematically determine the non-dimensional boundary of the axial force by the condition that the strain energy expression of the BCM is a positive definite quadratic form, and by the buckling condition relate to compressing axial force. Several examples are analyzed to demonstrate the effects of the axial force on the modeling errors of the BCM. When using the BCM for modeling, it is always suggested to check if the axial force is within this boundary to avoid large modeling errors. If the axial force is beyond the boundary, the Chained Beam Constraint Model (CBCM) can be used instead. en
dc.description.sponsorship National Natural Science Foundation of China (51675396); Fundamental Research Funds for the Central Universities (JB170403/K5051204021) en
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher Copernicus Publications en
dc.relation.uri https://www.mech-sci.net/9/71/2018/
dc.rights © 2018, the Authors. This work is distributed under the Creative Commons Attribution 4.0 License. en
dc.rights.uri https://creativecommons.org/licenses/by/4.0/
dc.subject Beam Constraint Model en
dc.subject Planar beam flexure en
dc.subject Axial force en
dc.subject Predicting errors en
dc.subject Chained Beam Constraint Model en
dc.title Determining the range of allowable axial force for the third-order Beam Constraint Mode en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Guangbo Hao, Electrical & Electronic Engineering, University College Cork, Cork, Ireland. +353-21-490-3000 Email: g.hao@ucc.ie en
dc.internal.availability Full text available en
dc.description.version Published Version en
dc.contributor.funder Fundamental Research Funds for the Central Universities
dc.contributor.funder National Natural Science Foundation of China
dc.description.status Peer reviewed
dc.identifier.journaltitle Mechanical Sciences en
dc.internal.IRISemailaddress g.hao@ucc.ie en


Files in this item

This item appears in the following Collection(s)

Show simple item record

© 2018, the Authors. This work is distributed under the Creative Commons Attribution 4.0 License. Except where otherwise noted, this item's license is described as © 2018, the Authors. This work is distributed under the Creative Commons Attribution 4.0 License.
This website uses cookies. By using this website, you consent to the use of cookies in accordance with the UCC Privacy and Cookies Statement. For more information about cookies and how you can disable them, visit our Privacy and Cookies statement