Straightforward Method for Nonlinear Oscillators

• Published in: 东华大学学报（英文版） Vol. 40; no. 1; pp. 105 - 109
• Main Authors: LYU Guojuan, HE Jihuan, HE Chunhui, SEDIGHI Hamid M
• Format: Journal Article
• Language: English
• Published: National Engineering Laboratory for Modern Silk,College of Textile and ClothingEngineering,Soochow University,Suzhou 215021,China%School of Civil Engineering,Xi'an University of Architecture and Technology,Xi'an 710055,China%Faculty of Engineering,Shahid Chamran University of Ahvaz,Ahvaz61357-43337,Iran 2023; School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo 454003,China; School of Science,Xi'an University of Architecture and Technology,Xi'an 710055,China%School of Science,Xi'an University of Architecture and Technology,Xi'an 710055,China
• Subjects: He's frequency formulation; nonlinear oscillator; Duffing oscillator
• ISSN: 1672-5220
• DOI: 10.19884/j.1672-5220.202112008

O175; It is challenging to predict the frequency property of a nonlinear vibration system conveniently and efficiently.Especially,an invalid or physically irrelevant result might be obtained by some advanced methods.Therefore,predicting the frequency lacks an expedient and efficient method.This challenge is addressed by developing a straightforward and effective frequency formulation that reliably predicts the frequency-amplitude relationship.This study provides a one-step approach which can fast determine the periodic properties of any conservative oscillators and also provides a reference for other similar studies.