Sentence examples for motion equations have from inspiring English sources

The final simplified motion equations have much fewer components than the original model while fitting accuracy remained.

To predict the strong ground motion of future destructive earthquakes, empirical ground motion prediction equations have been developed and applied to many regions of the world (e.g., Si and Midorikawa 1999; Douglas 2003).

Note that stochastic systems with Brownian motions, governed by the Itô differential equations, have attracted many researchers' attention over the past decades due to the extensive application of stochastic modeling in mechanical systems, economics, and other areas.

From the motion equation, we have learned as the following, we can deduce the equation to calculate the position of the bubble pulled or propelled by the force F. F=ma (5) a=vhbox (6) v=rhbox (7) r"=F/m (8).

The equations of motion for these moments can be straightforwardly obtained from the master equation to this order, leading to a set of coupled but solvable ordinary differential equations: (23) where, (25) Note that the matrices and vectors in the above equations have been reduced to a simpler form by the application of a few row operations.

These equations of motion are higher order partial differential equations having variable coefficients, and analytical solutions are obtained by expanding these variable coefficients into infinite power series.

In this case the Langevin equations which correspond to the drift kinetic equation have been solved by splitting the particle motion into a deterministic part which is interrupted by an artificial collision event.

The equations of motion have been solved by numerical method.

The equations of motion have been simulated through computer by using the MatLab software.

In the previous section, the TWRM equations of motion have been developed.

The developed equations of motion have furthermore been implemented in a VHDL-AMS beam model.