Abstract
Perturbation techniques and spectral moments are combined to characterize and quantify the damping and nonlinear parameters of the first mode of a three-beam two-mass frame. The frame is excited harmonically near twice its lowest natural frequency. The response is modeled with a second-order nonlinear equation with quadratic and cubic terms and linear and quadratic damping terms. The method of multiple scales is used to obtain a second-order approximate solution for this model. Bispectral analysis is used to quantify the level of coupling between modes and measure their phase difference. The amplitudes and phase difference of modes with different frequencies are substituted into the approximate solution to determine the damping and nonlinear parameters.
| Original language | English |
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| Pages (from-to) | 1447-1453 |
| Number of pages | 7 |
| Journal | Proceedings of the International Modal Analysis Conference - IMAC |
| Volume | 2 |
| State | Published - 1998 |
| Event | Proceedings of the 1998 16th International Modal Analysis Conference, IMAC. Part 1 (of 2) - Santa Barbara, CA, USA Duration: 2 Feb 1998 → 5 Feb 1998 |