Leung, Andrew Yee TakAndrew Yee TakLeungChui, S. K.2022-05-192022-05-191995https://repository.sfu.edu.hk/handle/sfu/3213The 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.enNon-linear vibration of coupled Duffing oscillators by an improved incremental harmonic balance methodjournal article10.1006/jsvi.1995.0162