Open AccessAnalytical Study of Nonlinear Vibrations of the Tympanic Membrane by Homotopy Perturbation Method
Author(s) -
Masoud Rahmani,
Amin Moslemi Petrudi,
Ionuț Cristian Scurtu
Publication year - 2020
Publication title -
technium
Language(s) - English
Resource type - Journals
ISSN - 2668-778X
DOI - 10.47577/technium.v2i5.1967
Subject(s) - harmonic balance , homotopy analysis method , nonlinear system , vibration , perturbation (astronomy) , homotopy , mathematics , mathematical analysis , poincaré–lindstedt method , control theory (sociology) , computer science , physics , acoustics , artificial intelligence , control (management) , quantum mechanics , pure mathematics
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.