<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The classical non-conservative Beck’s beam, loaded by follower compressive force, is generalized by allowing an arbitrary angle of action of the follower force as well as allowing for excentric positioning of the applied force. For the corresponding boundary eigenvalue problem, the frequency equation is derived. Results of parametric studies are presented with an emphasis laid on the lowest eigenfrequencies. The characteristic shape of the computed curves indicates whether stability loss by divergence or by flutter occurs. A map of stability is presented in terms of parameters describing the excentricity and the angle under which the follower force acts on the beam.</p></abstract>

The classical non-conservative Beck’s beam, loaded by follower compressive force, is generalized by allowing an arbitrary angle of action of the follower force as well as allowing for excentric positioning of the applied force. For the corresponding boundary eigenvalue problem, the frequency equation is derived. Results of parametric studies are presented with an emphasis laid on the lowest eigenfrequencies. The characteristic shape of the computed curves indicates whether stability loss by divergence or by flutter occurs. A map of stability is presented in terms of parameters describing the excentricity and the angle under which the follower force acts on the beam.

Dynamic Stability of Generalized Beck-Reut’s Beam

Institute of Applied Informatics, Automation and Mechatronics, Faculty of Materials Science and Technology in Trnava, Slovak University of Technology in Bratislava, Ulica Jána Bottu 2781/25, 917 24 Trnava, Slovak Republic

Research Papers Faculty of Materials Science and Technology Slovak University of Technology

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Dynamic Stability of Generalized Beck-Reut\u2019s Beam"}

The classical non-conservative Beck’s beam, loaded by follower compressive force, is generalized by allowing an arbitrary angle of action of the follower force...

Dynamic Stability of Generalized Beck-Reut’s Beam

Published Online: Apr 04, 2017

Page range: 93 - 99

DOI: https://doi.org/10.1515/rput-2016-0022

Keywords
dynamic stability, generalized Beck-Reut’s column, divergence, flutter

© 2016 Tibor Nánási, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Dynamic Stability of Generalized Beck-Reut’s Beam

Published Online: Apr 04, 2017

Page range: 93 - 99

DOI: https://doi.org/10.1515/rput-2016-0022

Keywordsdynamic stability, generalized Beck-Reut’s column, divergence, flutter

© 2016 Tibor Nánási, published by De Gruyter Open

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
dynamic stability, generalized Beck-Reut’s column, divergence, flutter