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At this overall damping level, results clearly demonstrate that, for the probability levels and durations considered, bandwidth is only important for the linearly damped model for the beam model with non-linear damping, bandwidth can be ignored, allowing accurate extreme exceedance predictions by using only the stationary FPK equation.
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The effects of damping, detuning, bandwidth, and magnitudes of random excitation are analyzed.
This can allow the tuning of a range of frequency bandwidth and damping properties of SMPs for vibration control applications.
Open image in new window Fig. 17 Relationship between bandwidth parameter and damping ratio Open image in new window Fig. 18 Relationship between upcrossing rate and damping ratio.
This observation can be extended to a sum of (finite-bandwidth) damped sinusoids plus white noise, but in this case the zeros should be slightly displaced toward the origin, remaining on the same radial line as the poles [24, 25].
Open image in new window Fig. 8 Bandwidth parameter as a function of damping ratio Open image in new window Fig. 9 Relationship between upcrossing rate across zero and damping ratio.
Figure 13 shows the bandwidth parameter ε as a function of damping ratio for the top displacement and acceleration.
Moreover, the damping coefficient of superconductor has no effect on the bandwidth of OBG under low-temperature condition.
The bandwidth of the resonance shows exponential increasing with the damping constant.
Although nonlinear effects significantly reduce the dissipation and TL around the liner maximum damping frequency, these power quantities may be enhanced below the half-bandwidth resonance.
Figure 17 shows the bandwidth parameter α1 for the displacement and the acceleration as a function of damping ratio.
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