Dynamic Analysis of the Vibration System With Nonlinear Springs

The dynamic characteristics of vibration systems with nonlinear springs is analyzed in the paper. The relationship between spectra of response and excitation intensity is established by nonlinear analysis method under the assumption of the displacement response being a zero-mean Gaussian process, which is proved to be true by numerical simulation. The numerical computation is used to obtain the spectral densities of responses and, furthermore, to investigate the amplitude-frequency characteristics of the system. The results show that the peak of the amplitude-frequency curve goes higher with increase of the gap, yet lowers with the increase of natural frequency and drops significantly with the increase of damping ratio.© 2007 ASME