For both PIV and PTV algorithms, the particle displacement
between two frames must be within a certain range that also depends on the number of particles per volume to avoid ambiguity in particle image positions.
In addition, the particle displacement
amplitude has linear relations with the magnitudes of fast Fourier transform (FFT) [F.
In this case, electrical voltage is applied across composite terminals and the mechanical response in terms of generated particle displacement
2013) and below the corner frequency the amplitude spectra of particle displacement
is flat down to 0 Hz (Aki and Richards, 2002).
Exact formulas for the mean particle displacement
are derived in Section 3.
Microrheology (4) measures the particle displacement
resulting from an applied stress (active method) or due to the thermal energy (passive method).
In a 3D geometry, the particle displacement
associated to the Rayleigh wave emitted by a growing crack under stress can be calculated by applying the elastodynamic reciprocity principle.
The VPTV system uses two cameras to view the illuminated flow field and capture particle displacement
images with the parallax effect.
The emergence of a transversal wave in a solid leads inevitably to a particle displacement
on a perpendicular direction to wave velocity vector, the longitudinal deformation being ignore.
The particle displacement
as a function of time then is used to infer the velocity flow field.
These results support the concept that line tension plays a significant role in particle displacement
(Geiser et al.
Nichols, "A Radio Frequency Identification System for Monitoring Coarse Sediment Particle Displacement
," Applied Engineering in Agriculture, Vol.