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A Study of Nonlinear Vibration of Euler-Bernoulli Beams Using Coupling Between The Aboodh Transform And The Homotopy Perturbation Method

P.K. Bera1 , S.K. Das2 , P. Bera3

  1. Dept. of Physics, Dumkal College, Murshidabad, India.
  2. Dept. of Mechanical Engineering, IIT Ropar, Rupnagar, India.
  3. School of Electronics Engineering, VIT University, Vellore, India.

Correspondence should be addressed to: pkbdcb@gmail.com.

Section:Research Paper, Product Type: Journal Paper
Volume-5 , Issue-12 , Page no. 84-93, Dec-2017

CrossRef-DOI:   https://doi.org/10.26438/ijcse/v5i12.8493

Online published on Dec 31, 2017

Copyright © P.K. Bera, S.K. Das, P. Bera . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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IEEE Style Citation: P.K. Bera, S.K. Das, P. Bera, “A Study of Nonlinear Vibration of Euler-Bernoulli Beams Using Coupling Between The Aboodh Transform And The Homotopy Perturbation Method,” International Journal of Computer Sciences and Engineering, Vol.5, Issue.12, pp.84-93, 2017.

MLA Style Citation: P.K. Bera, S.K. Das, P. Bera "A Study of Nonlinear Vibration of Euler-Bernoulli Beams Using Coupling Between The Aboodh Transform And The Homotopy Perturbation Method." International Journal of Computer Sciences and Engineering 5.12 (2017): 84-93.

APA Style Citation: P.K. Bera, S.K. Das, P. Bera, (2017). A Study of Nonlinear Vibration of Euler-Bernoulli Beams Using Coupling Between The Aboodh Transform And The Homotopy Perturbation Method. International Journal of Computer Sciences and Engineering, 5(12), 84-93.

BibTex Style Citation:
@article{Bera_2017,
author = {P.K. Bera, S.K. Das, P. Bera},
title = {A Study of Nonlinear Vibration of Euler-Bernoulli Beams Using Coupling Between The Aboodh Transform And The Homotopy Perturbation Method},
journal = {International Journal of Computer Sciences and Engineering},
issue_date = {12 2017},
volume = {5},
Issue = {12},
month = {12},
year = {2017},
issn = {2347-2693},
pages = {84-93},
url = {https://www.ijcseonline.org/full_paper_view.php?paper_id=1585},
doi = {https://doi.org/10.26438/ijcse/v5i12.8493}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i12.8493}
UR - https://www.ijcseonline.org/full_paper_view.php?paper_id=1585
TI - A Study of Nonlinear Vibration of Euler-Bernoulli Beams Using Coupling Between The Aboodh Transform And The Homotopy Perturbation Method
T2 - International Journal of Computer Sciences and Engineering
AU - P.K. Bera, S.K. Das, P. Bera
PY - 2017
DA - 2017/12/31
PB - IJCSE, Indore, INDIA
SP - 84-93
IS - 12
VL - 5
SN - 2347-2693
ER -

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Abstract

Aboodh transform (AT) in combination with the homotopy perturbation method (HPM) is employed to solve the nonlinear differential equation of motion for Euler-Bernoulli beams in a unified way. Aboodh transform based homotopy perturbation method (ATHPM) is found to give analytic solutions with all perturbative corrections to both the displacement and the oscillation frequency in a very simple and straight forward manner. Here, we have also demonstrated the sophistication and simplicity of this technique.

Key-Words / Index Term

Aboodh Transform, Homotopy Perturbation Method, Euler-Bernoulli Beam

References

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