Non-linear vibration of coupled duffing oscillators by an improved incremental harmonic balance method

✍ Scribed by A.Y.T. Leung; S.K. Chui

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 720 KB
• Volume: 181
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1006/jsvi.1995.0162

✦ Synopsis

The incremental harmonic balance method is improved by (i) reversing the order of increment and linearization to find the bifurcated solution branches, (ii) using a fast Fourier transform to compute the solution increments and the Floquet matrix, and (iii) finding the secondary path after a bifurcation by an improved arc-length method. A system of two Duffing oscillators linked with a linear stiffness is taken as a numerical example. The qualitative change of solution due to the change of the linking stiffness is studied in detail.