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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 102
PROCEEDINGS OF THE FOURTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING
Edited by:
Paper 40

Dynamic Response of an Actively Damped Cantilever Beam subject to Stochastic Excitations

M. Pietrzakowski

Institute of Machine Design Fundamentals
Warsaw University of Technology, Poland

Full Bibliographic Reference for this paper
M. Pietrzakowski, "Dynamic Response of an Actively Damped Cantilever Beam subject to Stochastic Excitations", in , (Editors), "Proceedings of the Fourteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 40, 2013. doi:10.4203/ccp.102.40
Keywords: beam, piezoelectric control, random vibration, correlation analysis.

Summary
An active cantilever Bernoulli-Euler beam subjected to random loading is considered in this paper. For control purposes piezoelectric sensor/actuator patches, which operate in a closed loop with velocity feedback are applied. Two types of excitations are taken into account: a random excitation a transverse force and a random transverse motion of the cantilever beam base. The input processes are represented by white noise with a limited bandwidth or a narrow band stationary Gaussian process characterized by second-order statistics, e.g. power spectral density or correlation function. Following the spectral/correlation analysis the statistical properties of the stochastic field of the beam deflection are achieved. The calculation results are presented graphically in terms of a power spectral density, correlation function and variance of the beam tip displacement. The influence of the control gain factor on the stochastic characteristics of the beam systems considered is identified and discussed.

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