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

Table 1

Calculation result of the value 𝐶_𝑘 and corresponding frequency component 𝜔_𝑛+𝑘𝜔 (𝜔_𝑛=1,𝛽=0.3, and 𝜔=0.5).

K	Frequency 𝜔𝑛+𝑘𝜔	𝐶𝑘 value
⋯	⋯	⋯
−8	−3.0𝜔𝑛	−1.785𝑒−7
−7	−2.5𝜔𝑛	−9.519𝑒−6
−6	−2𝜔𝑛	−3.329𝑒−4
−5	−1.5𝜔𝑛	−0.0067
−4	−𝜔𝑛	−0.0551
−3	−0.5𝜔𝑛	0.0067
−2	0	0.0218
−1	0.5𝜔𝑛	−0.1522
0	𝜔𝑛	1
1	1.5𝜔𝑛	0.1522
2	2𝜔𝑛	0.0076
3	2.5𝜔𝑛	2.1798𝑒−4
4	3.0𝜔𝑛	4.086𝑒−6
⋯	⋯	⋯