Because it is the one mass point
, the displacement differentiated twice or the accelerations become [z".sub.1] =-[[omega].sub.iz.sup.2] [Z.sub.1] sin[omega].sub.iz]t, [z".sub.2] = -[[omega].sub.iz.sup.2] [Z.sub.2] sin ([[omega].sub.iz]t - [[delta].sub.iz] - [[alpha].sub.iz]).
(1) The nonlinear multiple mass point
dynamical model of high-speed trains is constructed.
Every link is replaced by a mass rod, every actuator is superseded by a mass point
and significant cylindrical part is replaced by a mass cylindrical plate.
"I think we're almost at the critical mass point
," Sargent added.
Here, we use a nonrigorous method to study the hydroelastic response of the VLFS with a moving mass point
If each layer is viewed as the serial mass point
of the system, the serial stiffness of all the layers is set as the global stiffness; thus, the global horizontal stiffness and the global torsional stiffness can be obtained, respectively.
The mass of the 1st axle is [m.sub.1], which is considered as a mass point
at the center of the corresponding axle.
(ii) The mass of the 1st axle is [m.sub.1], which is regarded as a mass point
at the centre of the corresponding axle.
The mass point
distribution of the conrods is based on two points.
The circular motion is observed from the rest frame positioned at the centre of rotation which is the centre of mass point
. Thus the centre of mass point
and the centre of charge point are separated by the radius of rotation.
As shown in Figure 1, supposing that circle 0' denotes the Earth, M denotes its mass; m denotes the mass of the small ball (treated as a mass point
P), A 0' is a plumb line, and coordinate y is parallel to AO'.
Rather than imposing a stringent distributional assumption on [[omega].sub.ijt], DFM assumes that the distribution may be approximated using a finite discrete set of mass points
(Heckman and Singer 1984), or "factors." Mechanically, DFM estimates (2) and (3) simultaneously via maximum likelihood estimation (MLE), conditional on each mass point
representing a value of the random variable [[omega].sub.ijt].