Exact(14)
External disturbance appears as vertical harmonic motion of the support point and linear damping is assumed.
If the ratio between the support point motion and the rotational frequency of the rotor is rational, the response becomes periodic, and Floquet theory may be used to determine instability.
Four cases are analysed when the circular frequency Ω of the support point motion is in the vicinity of 2ω1, ω1, 2ω1/3, and ω1/2, ω1 being the first in-plane eigenfrequency of the cable.
Stability boundaries are determined as a function of the amplitude and frequency of the support point motion, the rotational speed, damping ratios and eigenfrequencies in the blade and edgewise directions.
Especially, if the amplitude of the support point motion less than a threshold value, MR damper can prevent subharmonic excitation caused by support point motion from taking place, consequently, MR damper achieves significant vibration reduction compared to viscous damper.
The spring and the damper constants of the TMD are optimized so that the variances of the displacement of the adjacent four half-cables, the support point of the TMD and the secondary mass are minimized.
Similar(46)
We show that, besides other support points, the origin and the vertices of the simplex are necessarily the support points of the optimum design.
Finally, this enables us to determine Taylor expansions for the support points of the D-optimal design.
The accuracy of the failure probability predictions is characterised as a function of the number of support points, dispersion of the support points in relation to the so-called design point and order of the Kriging basis functions.
It will be proved that in this case the support points and weights are real analytic functions of the boundary points of the design space.
Based on these observations, a simple optimization algorithm is proposed which distributes the support points so that the coefficient of variation of the method is minimized.
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