Study of the Response Prediction of a Parametric Vibration Based on Modulation Feedback

Table 2

Calculation result of the value 𝐶_𝑘 and corresponding frequency component 𝜔_𝑛+𝑘𝜔 (𝜔_𝑛=1, 𝛽=0.3, and 𝜔=0.49845877).

K	Frequency 𝜔𝑛+𝑘𝜔	𝐶𝑘 value
⋯	⋯	⋯
−8	≅−3𝜔𝑛	0.0096
−7	≅−2.5𝜔𝑛	0.5090
−6	≅−2𝜔𝑛	17.6233
−5	≅−1.5𝜔𝑛	347.62
−4	≅−𝜔𝑛	2825.8
−3	≅−0.5𝜔𝑛	−579.18
−2	≅0	87.8963
−1	≅0.5𝜔𝑛	−6.7887
0	𝜔𝑛	1
1	≅1.5𝜔𝑛	6.7887
2	≅2𝜔𝑛	0.3413
3	≅2.5𝜔𝑛	0.0098
4	≅3𝜔𝑛	0.00018
⋯	⋯	⋯