@inproceedings{6aea0a0d04134f4bbd681c94e413613f,
title = "The polynomial nonlinearities analysis based on the second-order normal form method",
abstract = "The second order normal form method shows its intelligence in handing the weak nonlinear vibration problems. With the sinusoid excitation, it is easy to obtain the steady state response with higher harmonics. Usually the nonlinearities in the system can be expressed as a polynomial form. The function of each term with different power indexes in the polynomial expression is analyzed. The result concludes that the summation of power index of each nonlinear term decides the final form of the frequency response function of the system. The general form of the frequency response function is both obtained. These pave the way for the polynomial kind of nonlinearities identification in the future work. And a series of nonlinearities are given to demonstrate the conclusions and to show how to identify the system nonlinearities.",
author = "Zhenfang Xin and Zhengxing Zuo and Huihua Feng",
year = "2012",
language = "English",
isbn = "9781622768257",
series = "International Conference on Noise and Vibration Engineering 2012, ISMA 2012, including USD 2012: International Conference on Uncertainty in Structure Dynamics",
publisher = "Katholieke Universiteit Leuven",
pages = "2591--2600",
booktitle = "International Conference on Noise and Vibration Engineering 2012, ISMA 2012, including USD 2012",
note = "25th International Conference on Noise and Vibration engineering, ISMA2012 in conjunction with the 4th International Conference on Uncertainty in Structural Dynamics, USD 2012 ; Conference date: 17-09-2012 Through 19-09-2012",
}