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The deflection state is divided into no contact, point contact and wrap contact according to the radial displacement of the tubular string or divided into initial configuration, sinusoidal buckling and helical buckling configurations according to the angular displacement of the tubular string.
A dependency of pressure development of the diaphragm on its deflection state could be demonstrated.
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Open image in new window Fig. 4 Phase diagram of deflection states and critical conditions.
Huang et al. (2015c) pointed out that there are 9 deflection states and 12 transition conditions by the combination of three contact cases and three buckling states shown in Fig. 4.
On the basis of Mitchell's and Gao's studies, Huang and Gao (2014a, b, 2015) presented the complete phase diagram of the tubular string deflection states and studied the sinusoidal buckling and helical buckling problems for a tubular string constrained in horizontal and curved wellbores.
The data were consistent with each other (see also Figure S7), except for a larger separation between the two dominant deflection states corresponding to the unfolded and folded states of the hairpin in the stiff linker data, which is an expected consequence of the inextensibility of the ten-helix bundle linkers.
Histograms of the deflection states that were tested by the combined system of beads, linkers, and hairpin when the traps are set to a constant distance revealed transiently populated substates for the stiff linkers, while these substates were masked by noise in the experiments with the conventional dsDNA linkers.
The tracking control algorithm is designed to solve the singularities resulting from the zero-deflection state of the micro-beam.
The results of the study were verified against published experimental tests at the ultimate force-deflection states of R/C sections and also against three commercial "software test beds".
"What we talked about at halftime was we were not playing defense the way we had played all season long — we had one steal and only nine deflections," Murray State Coach Steve Prohm said.
Both the transient vibration and the steady state deflection of the spinning disk are presented, with emphasis on the effects of the rotation speed and external damping.
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