At higher frequencies in case of severe damping (for example, a = 1 x [10.sup.6], b = 3 x [10.sup.-8]) the phase velocity curve
does not converge to the phase velocity of Rayleigh's surface wave.
The maximum velocity curve
(MVC) in the plane (s, s') with s [member of] [0, [s.sub.end]] is represented as
As the d increases, the velocity curve
of the gas filed along with the Y-axis tends to be flat progressively, which means the velocity field approaches to homogenization.
Figures 5(a) and 5(b) show the velocity curve
of the interceptor in the global and local topologies, from which it can be seen that the interceptor "follower" features a considerable overstriking property in the initial stage due to the lack of "leader." The convergence rate is slower than that in the global topology, but it can eventually reach the steady state of the "leader." The convergence process changes smoothly, and it shows good robustness to external disturbance.
Caption: Figure 4: Velocity curve
by acceleration integral without removing trend item.
In order to evaluate the performance of the controller, the desired velocity curve
including accelerating, decelerating, velocity step increase, velocity step decrease, and constant-velocity stages is characterized by the following equation:
Based on the results of the high-speed non-Darcy seepage test, the obtained pressure gradient and velocity curve
show that the quadratic coefficient of the Forchheimer equation can be described as a function of the fracture aperture b in the complete turbulence stage.
The curve given by [[PHI].sub.eff](0, y, 0) = EJ is called Zero Velocity Curve
and provides a good demarcation for the choice of initial conditions, since there is only possibility of orbits when [[PHI].sub.eff] [less than or equal to] [E.sub.J], in other words, below this curve (see ).
Left: Velocity curve
in function of the normalized radius, pressure of the compressed air of 0.6 MPa, and separation c = 0.2 and 0.4 mm, adapted from ; Right: Velocity curve
of the present simulation for separation c = 0.3 mm and pressure of the compressed air of 0.3 MPa (black line) and 0.2 MPa (red line)
The selected path used to measure the output flow velocity was from the vault to the bottom of the left wall to the bottom of the arch, the flow rate output path diagram is shown in Figure 11, and flow velocity curve
is shown in Figure 12.
In some applications, it is necessary to control the displacement curve, the velocity curve
, the acceleration curve, and even the jerk curve.