A novel analytical approximation technique for highly nonlinear oscillators based on the energy balance method

• Main Authors: Hosen, Md. Alal, Chowdhury, Md. Sazzad Hossien, Ali, Mohammad Yeakub, Ismail, Ahmad Faris
• Format: Article
• Language: English; English; English
• Published: Elsevier 2016
• Subjects: QA Mathematics
• Online Access: http://irep.iium.edu.my/51653/1/51653_A%20novel%20analytical%20approximation%20technique.pdf; http://irep.iium.edu.my/51653/2/51653_A%20novel%20analytical%20approximation%20technique_SCOPUS.pdf; http://irep.iium.edu.my/51653/3/51653_A%20novel%20analytical%20approximation%20technique_WOS.pdf; http://irep.iium.edu.my/51653/; http://dx.doi.org/10.1016/j.rinp.2016.08.011

In the present paper, a novel analytical approximation technique has been proposed based on the energy balance method (EBM) to obtain approximate periodic solutions for the focus generalized highly nonlinear oscillators. The expressions of the natural frequency amplitude relationship are obtained us...