16 Modeling and Parameter Identification for Active Lubricated …
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16.7. Tables 16.2 and 16.3 show the estimated coefficients with polynomial approximations. The variation of each key parameter’s estimate in the same condition is
small, indicating a good consistency across different data sets.
Fig. 16.7 The variation law of identified coefficients, identified damping coefficients as function
of the horizontal and vertical displacement
Table 16.2 Coefficients of fitted polynomials of the form Eq. (16.5) for the key parameters
(stiffness)
Stiffness
k 0
k 1
k 2
k 3
k 4
k 5
k 6
k xx
7.52e5
2.31e4
−4.78e5
−1.08e4
2.34e5
3.89e3
−3.00e4
k xy
3.64e3
1.42e2
1.44e3
−1.47e1
−8.23e3
9.19e0
1.21e2
k yx
4.17e3
−1.63e2
2.59e3
−4.92e1
−1.33e3
8.80e0
1.77e2
k yy
9.13e5
−4.09e4
−2.74e5
5.25e4
9.81e4
−9.75e3
−831e3
Table 16.3 Coefficients of fitted polynomials of the form Eq. (16.5) for the key parameters
(damping)
Damping
c 0
c 1
c 2
c 3
c 4
c 5
c 6
c xx
4.74e3
1.36e2
−1.53e3
−1.01e1
1.74e3
6.20e0
−2.17e2
c xy
3.18e2
1.17e1
−9.43e2
7.96e0
4.95e2
−7.66e-1
−7.69e0
c yx
7.48e2
−1.95e1
−3.65e2
−2.59e1
2.43e2
5.96e0
−3.44e1
c yy
8.42e3
−2.54e2
−1.07e3
3.05e2
4.87e2
−6.03e1
−5.15e1