| Issue |
MATEC Web Conf.
Volume 178, 2018
22nd International Conference on Innovative Manufacturing Engineering and Energy - IManE&E 2018
|
|
|---|---|---|
| Article Number | 04007 | |
| Number of page(s) | 6 | |
| Section | Advanced Materials | |
| DOI | https://doi.org/10.1051/matecconf/201817804007 | |
| Published online | 24 July 2018 | |
About buckling calculus of straight bars on elastic environment by Transfer-Matrix Method (TMM) for dental implants
1
Technical University of Cluj-Napoca, Machine Building Faculty, Bd. Muncii 103-105, Cluj-Napoca, Romania
2
Technical University of Cluj-Napoca, Mechanical Faculty, Bd. Muncii 103-105, Cluj-Napoca, Romania
3
Technical University of Cluj-Napoca, Materials and Environmental Engineering Faculty, Bd. Muncii 103-105, Cluj-Napoca, Romania
* Corresponding author: mihaela.suciu@rezi.utcluj.ro
The paper presents a relatively simple and elegant analytical calculus of critical buckling force for a straight bar, one-end embedded and other end free, with an axial compression force F, using the Transfer-Matrix Method (TMM). The algorithm is based on the simplifications of the mathematical apparatus offered by Dirac and Heaviside’s functions and operators regarding effort density. The results obtained will be used in the study of dental implants. The implant was assimilated as a bar on elastic environment, one-end of bar embedded and other end free, with an axial compression force F at the free end, the bone being assimilated as an elastic environment.
© The Authors, published by EDP Sciences, 2018.
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
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