DOI: 10.1177/14613484231195267 ISSN:
An approximation technique for solving nonlinear oscillators
Md Ashraful Huq, M Kamrul Hasan, MS Alam- Mechanical Engineering
- Geophysics
- Mechanics of Materials
- Acoustics and Ultrasonics
- Building and Construction
- Civil and Structural Engineering
Recently, an approximation technique was presented for solving strong nonlinear oscillators modeled by second-order differential equations. Due to the arising of an algebraic complicity, the method fails to determine suitable solution of some important nonlinear problems such as quadratic oscillator, cubical Duffing oscillator of softening springs, and pendulum equation. However, suitable solutions of these oscillators are found by rearranging only an algebraic equation related to amplitude and frequency. The determination of solutions is simpler than the original version.