TY - JOUR
T1 - Non-stationary responses of cables with slowly varying length
AU - Kaczmarczyk, Stefan
AU - Ostachowicz, Wieslaw
PY - 2000
Y1 - 2000
N2 - The overall response of a hoisting cable system to an inertial load due to transport motion acceleration and deceleration and to external harmonic excitation is studied. A mathematical model of the system is proposed, and the response is simulated numerically. Due to the time-varying length of the cable, the natural frequencies of the system vary slowly, and a transient resonance occurs when one of the frequencies coincides with the frequency of the excitation at some critical time. Near the resonance region, the resonant mode is dominant, and a single-mode approximation of the system response in this region is formulated. A combined perturbation and numerical technique is applied to predict the response during passage through the main resonance.
AB - The overall response of a hoisting cable system to an inertial load due to transport motion acceleration and deceleration and to external harmonic excitation is studied. A mathematical model of the system is proposed, and the response is simulated numerically. Due to the time-varying length of the cable, the natural frequencies of the system vary slowly, and a transient resonance occurs when one of the frequencies coincides with the frequency of the excitation at some critical time. Near the resonance region, the resonant mode is dominant, and a single-mode approximation of the system response in this region is formulated. A combined perturbation and numerical technique is applied to predict the response during passage through the main resonance.
UR - http://www.mendeley.com/research/nonstationary-responses-cables-slowly-varying-length
U2 - 10.1007/s00526-007-0094-9
DO - 10.1007/s00526-007-0094-9
M3 - Article
SN - 0944-2669
VL - 5
SP - 3
JO - J. of Acoustics and Vibration
JF - J. of Acoustics and Vibration
ER -