High-order approximate solutions of strongly nonlinear cubic-quintic Duffing oscillator based on the harmonic balance method

• Main Authors: Chowdhury, Md. Sazzad Hossien, Hosen, Md. Alal, Ahmad, Kartini, Ali, Mohammad Yeakub, Ismail, Ahmad Faris
• Format: Article
• Language: English; English
• Published: Elsevier 2017
• Subjects: T Technology (General); TJ Mechanical engineering and machinery; TS Manufactures
• Online Access: http://irep.iium.edu.my/60636/1/025-2017%20Results%20in%20Physics.pdf; http://irep.iium.edu.my/60636/7/60636_High-order%20approximate%20solutions_scopus.pdf; http://irep.iium.edu.my/60636/; https://reader.elsevier.com/reader/sd/9E8D7837D218F55EEDF1C617D12D6E92E4BF3F5A852991314EA5E78FA2CBBCFB89A62D630BFBD70D723A46FB9C0BCC55

In this paper, a new reliable analytical technique has been introduced based on the Harmonic Balance Method (HBM) to determine higher-order approximate solutions of the strongly nonlinear cubicquintic Duffing oscillator. The application of the HBM leads to very complicated sets of nonlinear algebr...