Simulation study of laser energy coupling coefficient
in the process of ablating glass fiber / epoxy composites, Chinese Journal of Lasers 41(2): 217-221 (in Chinese).
In essence, in order to form an appropriate dimensionless coupling coefficient
between the elastic terms and the bulk terms in the free-energy density, one requires a characteristic elastic constant, a characteristic bulk constant, and a characteristic length scale from the geometry of the problem domain.
These components provide very high electromechanical coupling coefficient
, resulting in broader bandwidth and higher sensitivity than traditional piezoelectric bulk components.
Azimuth and Mutual Coupling Coefficient
where [w.sub.z] is the coupling weight for ith impact factor and combines a linear relationship between AHP and the mean variance method; A or B is the coupling coefficient
of the two kinds of weights.
The maximum transfer distance between two magnetic coupling inductor coils is also related to several other factors, which are the sizes of the coils, the critical coupling coefficient
, and the power supply.
where [k.sub.23] = [M.sub.23]/[square root of ([L.sub.2][L.sub.3])] represents the coupling coefficient
between the emitting winding and the receiving winding; [Q.sub.2] = [[omega].sub.0][L.sub.2] / [R.sub.2] and [Q.sub.3] = [[omega].sub.0][L.sub.3] / [R.sub.3] represent the quality factor of the emitting and receiving windings respectively.
These parameters correspond to a Q- factor [[omega].sub.0]L/R = 85, a coupling coefficient
[kappa] = 2M/L = 0.62 and a characteristic impedance [Z.sub.0M] = 67 [OMEGA].
The mutual coupling between coils is represented in the model by inductive coupling coefficient
[K.sub.i,j] between coil i and coil j and it is calculated by:
It is obvious from Figure 8 that change of the coupling coefficient
[k.sub.1] has significant influence on the value of A01 and AQ2.
Based on the BA scale-free network model constructing algorithm, altogether, at least T = 100 samples are made, each time generating two scale-free networks (A and B) with 1000 nodes, as shown in Figures 1-2, and randomly generating coupling coefficient
matrixes ([M.sub.AB] and [M.sub.BA]) existing in between networks A and B, as shown in Figures 3-4.
where [K.sub.0i] are the initial permeability coefficients of the X, Y, and Z directions; [mu] is the Poisson ratio; [rho] is the rock mass density; [[sigma].sub.e] is the effective normal stress and its direction is perpendicular to the main permeability direction; P is the seepage pressure; [alpha] is the coupling coefficient
between the seepage and stress fields; and 1.0 is the calculated value.