Analytical Study of Nonlinear Vibrations of the Tympanic Membrane by Homotopy Perturbation Method

Authors

  • Masoud Rahmani Department of Mechanical Engineering, Tehran University, Iran
  • Amin Moslemi Petrudi Department of Mechanical Engineering, Tehran University, Iran https://orcid.org/0000-0002-5928-0479
  • Ionut Cristian Scurtu Mircea cel Batran Naval Academy, Constanta, Romania https://orcid.org/0000-0003-3105-6384

DOI:

https://doi.org/10.47577/technium.v2i5.1967

Keywords:

Homotopy perturbation, Human tympanic membrane, Nonlinear vibrations, Harmonic balance.

Abstract

Nonlinear vibration problems are generally of great importance in physics, mechanical structures, and other engineering research. This type of equation is very difficult and time-consuming. Researchers, therefore, focus on analytical and numerical methods; In this paper, using the new Newton-Harmonic Balance analytical method, which includes a combination of Newton methods and the harmonic balance method, the common Homotopy Perturbation method is used to solve the nonlinear equation of human tympanic membrane vibration and are compared and validated.

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Published

2020-06-24

How to Cite

Rahmani , M., Moslemi Petrudi, A., & Cristian Scurtu , I. . (2020). Analytical Study of Nonlinear Vibrations of the Tympanic Membrane by Homotopy Perturbation Method. Technium: Romanian Journal of Applied Sciences and Technology, 2(5), 187–192. https://doi.org/10.47577/technium.v2i5.1967