A modified harmonic balance method to obtain higher-order approximations to strongly nonlinear oscillators

• Main Authors: Md. Alal, Hosen, Chowdhury, Md. Sazzad Hossien, Ismail, Gamal M., Yıldırım, Ahmet
• Format: Article
• Language: English; English; English
• Published: Taru Publications 2020
• Subjects: QA Mathematics; QA297 Numerical Analysis
• Online Access: http://irep.iium.edu.my/86636/1/86636_A%20modified%20harmonic%20balance%20method.pdf; http://irep.iium.edu.my/86636/2/86636_A%20modified%20harmonic%20balance%20method_SCOPUS.pdf; http://irep.iium.edu.my/86636/3/86636_A%20modified%20harmonic%20balance%20method_WOS.pdf; http://irep.iium.edu.my/86636/; https://www.tandfonline.com/doi/abs/10.1080/09720502.2020.1745385
• Institution: Universiti Islam Antarabangsa Malaysia

We propose a new method, namely, the modified harmonic balance method. This paper also analyses and offers the high-order approximate periodic solutions to the strongly nonlinear oscillator with cubic and harmonic restoring force. The existing harmonic balance method cannot be applied directly to su...