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Verlagslink DOI: 10.1016/j.ijmecsci.2017.10.030
Titel: Gaussian and non-Gaussian stochastic response of slender continua with time-varying length deployed in tall structures
Sprache: English
Autor/Autorin: Kaczmarczyk, Stefan 
Iwankiewicz, Radosław 
Schlagwörter: cable vibration;structure sway;time-variant system;transient resonance;narrow-band Gaussian stochastic process;random pulse train
Erscheinungsdatum: Dez-2017
Verlag: Elsevier
Quellenangabe: International Journal of Mechanical Sciences (134): 500-510 (2017)
Zeitschrift oder Schriftenreihe: International journal of mechanical sciences 
Zusammenfassung (englisch): This paper presents a study to predict the probabilistic characteristics of lateral dynamic motions of a long heavy cable moving at speed within a tall host structure. The cable is subjected to a base-motion (kinematic) excitation due to a low frequency sway of the structure. The development of the deterministic equations of motion and of the stochastic models describing the lateral dynamic behaviour of the cable is presented. Due to the time-varying length of the cable, the system exhibits nonstationary dynamic characteristics and its response is governed by nonstationary ordinary differential equations. Two stochastic models of motion of the structure are considered. In the first model, the excitation is represented as a narrow-band Gaussian process mean-square equivalent to a harmonic process. The second model involves a non-Gaussian process in the form of a random train of pulses, idealizing the action of strong wind gusts. The differential equations to determine the mean values and the second-order joint statistical moments of the response are formulated and solved numerically. A parametric study is conducted to demonstrate the influence of speed of the cable on the deterministic and stochastic characteristics of the response.
URI: http://tubdok.tub.tuhh.de/handle/11420/1779
DOI: 10.15480/882.1776
ISSN: 0020-7403
Institut: Mechanik und Meerestechnik M-13 
Dokumenttyp: (wissenschaftlicher) Artikel
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