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eISSN:2278-5299

International Journal of Latest Research in Science and Technology

DOI:10.29111/ijlrst   ISRA Impact Factor:3.35,  Peer-reviewed, Open-access Journal

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AN APPROACH OF A SIMPLE DENTAL BRIDGE AS A FRAME WITH UNIFORM LOAD BY TRANSFER-MATRIX METHOD

Open Access

International Journal of Latest Research in Science and Technology Vol.11 Issue 2, pp 20-24,Year 2022

AN APPROACH OF A SIMPLE DENTAL BRIDGE AS A FRAME WITH UNIFORM LOAD BY TRANSFER-MATRIX METHOD

Mihaela SUCIU

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Received : 25 August 2022; Accepted : 10 November 2022 ; Published : 22 December 2022

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Article No. 11033
Abstract

In this paper, a frame model for a simple dental bridge will be presented, which will be calculate by TMM, in order to facilitate orthodontic interventions in situ, especially in delicate situations. Applications of mathematical algorithms in bioengineering and especially in orthodontics are in full expansion. In this study, it will be done a similarity between a simple dental bridge and a frame, which is an original idea, as is the application of the Transfer-Matrix Method (TMM) to the analytical calculus of a dental bridge as a frame. The model of frame has two vertical poles, embedded at inferior ends and with an uniformly distributed load of horizontal part of the frame. A simple dental bridge has two pole teeth. They can be assimilated with the two vertical parts of frame and the aggregation elements, together with the bridge body, can be assimilated with the horizontal part of frame. After applying the TMM, we can determine the displacements for aggregation elements. This original idea to assimilate a simple dental bridge as a frame, is an approach that can be applied for different frames and, so, for differently dental bridges, applied for different partial or total edentulous situations. Mathematical algorithm for frame calculus can by very easy to program and this allows the results to be obtained very quickly with immediate application in practice, in orthodontics, which allows the results to be used in situ, especially in special and delicate situations. In the future, we want to be able to present the validation of the theoretical results with experimental results and with those obtained by modeling with Finite Elements Method (FEM).

Key Words   
Dental bridge, frame, charge density, Dirac’s and Heaviside’s functions and operators, state vecto
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References
  1. J. T. Burke and P. S. K. Lucarotti, “Ten year survival of bridges placed in the General Dental Services in England and Wales”, Journal of Dentistry, vol. 40, Issue 11, https://doi.org/10.1016/j.jdent.2012.07.002, 2012.
  2. Dikova and T. Vasilev, “Bending fracture of Co-Cr dental bridges, produced by additive technologies: Simulation analysis and test”, Engineering Fracture Mechanics, 218/2019, https://doi.org/10.1016/j.engfracmech.2019.106583, 2019.
  3. Dikova, “Bending fracture of Co-Cr dental bridges, produced by additive technologies: experimental investigation”, Procedia Structural Integrity 13 (2018), 461-468, Elsevier B.V. Peer-review under responsibility of the ECF22 organizers, 10.1016/j.prostr.2018.12.077, 2018.
  4. M. Gaspar and F. Weichert, “Integrated construction and simulation of tool paths for milling dental crowns and bridges”, Computer-Aided Design, 45/2013, 1170–1181, 2013.
  5. -M. Gery and J.-A. Calgaro, “Les Matrices-Transfert dans le calcul des structures”, Editions Eyrolles, Paris, 1987.
  6. E. Pjetursson, U. Bragger, N. P. Lang and M. Zwahlen, “Comparison of survival and complication rates of tooth-supported fixed dental prostheses (FDPs) and implant-supported FDPs and single crowns”, (SCs) Clin Oral Implants Res., 2007;18 (Suppl 3):97–113. https://doi.org/10.1111/j.1600-0501.2007.01439.x, 2007.
  7. D. Quinna, A. R. C. Studart, C. Herbert, J. R. Ver Hoef and D. Arola, “Fatigue of zirconia and dental bridge geometry: Design implications”, Dental Materials, 26, 11331136, doi:10.1016/j.dental.2010.07.014., 2010.
  8. Reimann, J. Zmudzki and L. A. Dobrzanski, “Strenght analysis of tree-unit dental bridge framework with the Finite Elements Method”, Acta of bioengineering and biomechanics, Wroclaw University of Technology, 17(1):51-9, DOI: 10.5277/ABB-00091-2014-02, May 2015.
  9. R. Studart, F. Filser, P. Kocher and L. J. Gauckler, “Fatigue of zirconia under cyclic loading in water and its implications for the design of dental bridges”, Dental Materials, 23/2007,106–114, doi: 10.1016/j.dental.2005.12.008 , 2007.
  10. Styranivska, N. Kliuchkovska and N. Mykyyevych, “Comparison of using different bridge prosthetic designs for partial defect restoration through mathematical modeling”, Eur J Dent., 11(3): 345–351, 2017.
  11. Suciu and M.-S. Tripa, “Strength of Materials”, Ed. UT Press, Cluj-Napoca, 2005.
  12. Syngellaikis and I. Younes, “The transfer matrix method applied to frame-shear wall systems”, Computers & Structures, Volume 41, Issue 2, Elsevier, pp. 197-206, https://doi.org/10.1016/0045-7949(91)90423-J, 1991.
  13. Tripa et allii, “About buckling calculus of straight bars on elastic environment by Transfer-Matrix Method (TMM) for dental implants”, MATEC Web of Conferences, 178, 04007 (2018), https://doi.org/10.1051/matecconf/201817804007, IManE&E, 2018.
  14. Tripa et allii, ”About the study of frames by Transfer-Matrix Method (TMM)-similarity of dental bridges with frames”, Acta Technica Napocensis, Cluj-Napoca, Vol. 62, no. 4. pp. 569-572, 2019.
  15. Tripa et allii, “About the Analytical Calculus of Dental Bridge with Distal Extension and Single Pole Tooth Assimilated as a Beam by Transfer-Matrix Method (TMM)”, International Journal of Latest Research in Science and Technology, ISSN (Online):2278-5299, Vol 9, Issue 6, pp. 19-22, https://www.mnkjournals.com/journal/ijlrst/pdf/Volume_9_6_2020/11011.pdf, https://www.mnkjournals.com/journal/ijlrst/index.php , 2020.
  16. Tripa ei allii, “Contributions on the analytical calculus of simple dental bridge assimilated with a beam embedded at both ends by Transfer-Matrix Method (TMM)”, Acta Technica Napocensis, Vol. 62, no. 4. pp. 573-576, 2019.
  17. Y. WARREN, “ROARC’S-Formulas for Stress & Strain”, 6-ème Edition McGraw-Hill Book Company, 1989.
  18. Y. Zhang and M. H. Dong, “A Transfer Matrix Method for Frame Shear Wall Structures”, Applied Mechanics and Materials, 482:207-212, DOI: 10.4028/www.scientific.net/AMM.482.207, 2013.
To cite this article

Mihaela SUCIU , " An Approach Of A Simple Dental Bridge As A Frame With Uniform Load By Transfer-matrix Method ", International Journal of Latest Research in Science and Technology . Vol. 11, Issue 2, pp 20-24 , 2022

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