Sentence examples for mean square motion from inspiring English sources
The reduction of the mean square motion of the primary structure using the traditional vibration absorber is compared with the proposed dynamic absorber.
For each of the spatial distributions, there is a location and damper value that will minimize the mean square motion averaged over the beam length.
The H2 optimum parameters of a dynamic vibration absorber of non-traditional form are derived to minimize the total vibration energy or the mean square motion of a single degree-of-freedom (sdof) system under random force excitations.
While the traditional vibration absorber can damp down the vibration mainly at the pre-tuned mode of the primary structure, active damping is generated by the proposed HVA to damp down all resonant modes of interest of the vibrating structure and the spatial average mean square motion of the vibrating structure can be minimized.
The attached vibration absorber presents an interesting optimization problem to find the damping that minimizes the mean-square motion at the beam tip.
Under optimum tuning condition, it is shown that the proposed absorber when compared with the traditional absorber, provides a larger suppression of the mean square vibrational motion of the primary system.
Table 1 Numerical comparison between different motion smoothing algorithms for the synthetic camera motion Mean square jitter Mean square acceleration Unsmoothed 314.00 2217.43 Small σ p 11.58 21.79 Large σ p 19.24 28.09 Proposed 3.93 10.80.
The other smoothness metric we measure is the mean square of the motion acceleration.
According to Einstein's theory, the mean square displacement of Brownian motion is described as (14) 〈 r 2 〉 = 2 d D t, d, dimensionality, in our case, d = 3. D, diffusion coefficient.
A measurement of the fraction of emission events that are recoil free as determined by their ability to be resonantly absorbed provides the mean square amplitude of the thermal motion in the solid.
