The strain energy in loosening the clamped end of a beam (part I)

Authors

  • Patric-Timotei STAN Doctoral School of Engineering, Babeș-Bolyai University, Cluj-Napoca, Romania, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa patric.stan@stud.ubbcluj.ro https://orcid.org/0009-0001-3212-9939
  • Zeno-Iosif PRAISACH Department of Engineering Science, Faculty of Engineering, Babeș-Bolyai University, Cluj-Napoca, Romania, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, zeno.praisach@ubbcluj.ro https://orcid.org/0000-0002-8613-8224
  • Gilbert-Rainer GILLICH Department of Engineering Science, Faculty of Engineering, Babeș-Bolyai University Cluj-Napoca, Romania, Faculty of Engineering, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, gilbert.gillich@ubbcluj.ro https://orcid.org/0000-0003-4962-2567
  • Tiberiu MĂNESCU Aurel Vlaicu University, Bd. Revoluției, nr. 77, Arad, Romania manescu.tiberiu@gmail.com
  • Cristian TUFIȘI Department of Engineering Science, Faculty of Engineering, Babeș-Bolyai University Cluj-Napoca, Romania, Piaţa Traian Vuia, nr. 1-4, 320085, Reşiţa, cristian.tufisi@ubbcluj.ro https://orcid.org/0000-0002-0567-6072

DOI:

https://doi.org/10.24193/subbeng.2023.1.4

Keywords:

weak clamped end, mode shapes, strain energy

Abstract

Using analytical equations, the paper aims to solve the dynamic behavior of beams where a clamped end of the beam does not respect the ideal boundary conditions by introducing a weakening coefficient. In the paper, the characteristic equation for determining the eigenvalues and the relationship of the modal function and strain energy are derived. The results show the first six vibration modes for different values of the weakening coefficient which is considered in the clamped end and the evolution of the strain energy.

References

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Gillich G.R., Nedelcu D., Wahab M.A., Pop M.V., Hamat C.O., A new mathematical model for cracked beams with uncertain boundary conditions, International Conference on Noise and Vibration Engineering (IS-MA 2020), Leuven, Belgium, pp. 3871-3883.

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STUDIA UBB ENGINEERING, Volume 68 (LXVIII), No. 1, November 2023

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Published

2023-11-15

How to Cite

STAN, P.-T., PRAISACH, Z.-I., GILLICH, G.-R., MĂNESCU, T., & TUFIȘI, C. (2023). The strain energy in loosening the clamped end of a beam (part I). Studia Universitatis Babeș-Bolyai Engineering, 68(1), 47–60. https://doi.org/10.24193/subbeng.2023.1.4

Issue

Volume 68, No. 1, November 2023

Section

Articles

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Copyright (c) 2023 Studia Universitatis Babeș-Bolyai Engineering

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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