Open AccessThe fastest insight into the large amplitude vibration of a string
Author(s) -
Na Qie,
Wei-Fan Houa,
JiHuan He
Publication year - 2021
Publication title -
reports in mechanical engineering
Language(s) - English
Resource type - Journals
ISSN - 2683-5894
DOI - 10.31181/rme200102001q
Subject(s) - amplitude , string (physics) , vibration , nonlinear system , property (philosophy) , simple (philosophy) , process (computing) , computer science , physics , control theory (sociology) , mathematical analysis , mathematics , acoustics , theoretical physics , quantum mechanics , artificial intelligence , philosophy , control (management) , epistemology , operating system
This paper recommends a simple and excusive approach to a strongly nonlinear oscillator. Its frequency property can be immediately obtained by the simplest calculation. The results show that the method leads to an approximate solution with relatively high accuracy. Considering the simplest solution process, this paper provides a highly efficient tool for fast determination of the amplitude-frequency relationship of a nonlinear oscillator. The large amplitude vibration of a string is used as an example to illustrate the solution process.