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Such lagging motion may occur in nonlinear systems whose behavior crucially depends on the frequency of the applied force.
Problems are posed by the presence of hinges and the dampers, which are fitted to restrain lagging motion.
The lagging motion of the nonlinear oscillator with respect to the harmonically driven field made the oscillator respond in a way that reduced the effect of the applied field.
The calculation considering the lagging motion yielded proper results in the expansion ratio and trajectories in phase plane for the oscillating bubble under ultrasound and the frequency spectrum for a forced inverted pendulum.
The lagging motion of nonlinear oscillators with respect to the externally driven field, which has never been discussed previously, was treated analytically and the calculation results were compared with the observed results.
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The difficulty is overcome in the case of flapping and lagging motions of the rotor blade, by using assumed modes that have bending moment distributions that are those of the normal modes of a uniform cantilever beam.
For both modes, the destabilization is very sensitive to an increase of the steady state rotor coning angle that increases the energy transfers from flap to lag motion through Coriolis forces.
The 1/rev amplitude of a chordwise absorber at the blade tip, per degree of blade lead-lag motion in forward flight, is of the order of 35% of the blade chord, and such a stroke might be difficult to accommodate.
The mechanism of pilot destabilization involves three vicious energy circles, i.e. lateral-roll, flap-roll and flap-lag motions, in a very similar manner as in the air resonance phenomenon.
But in reality, many users went on to suffer overwhelming nausea due in part to lag from the motion controls.
Notable chapters discuss general approaches to travel medicine, immunizations, managing jet lag and motion sickness, counseling HIV-infected travelers, malaria prevention, avoiding and self-treating travelers' diarrhea, evaluating diarrhea in returned travelers, tropical dermatology and sexually transmitted infections.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com