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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 108
Edited by: J. Kruis, Y. Tsompanakis and B.H.V. Topping
Paper 232

Analysis of Rotating Beams using the Boundary Element Method

A.K. Argyridi and E.J. Sapountzakis

Institute of Structural Analysis and Antiseismic Research, School of Civil Engineering, National Technical University of Athens, Greece

Full Bibliographic Reference for this paper
A.K. Argyridi, E.J. Sapountzakis, "Analysis of Rotating Beams using the Boundary Element Method", in J. Kruis, Y. Tsompanakis, B.H.V. Topping, (Editors), "Proceedings of the Fifteenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Stirlingshire, UK, Paper 232, 2015. doi:10.4203/ccp.108.232
Keywords: rotating beam, dynamic, flexure, analog equation method, bar, beam, boundary element method.

In this paper beams under rotation are analyzed. More specifically, an Euler-Bernoulli beam having at its left end a rigid element (wind turbine rigid hub) is examined. The left end of the aforementioned rigid element can rotate about a transverse axis. The beam is a prismatic one having an arbitrary cross section and is subjected to an arbitrary time dependent loading. Two degrees of freedom are assumed, namely the displacement of the centroid and the angle of rotation. The material is linearly elastic. The Hamilton principle is employed in order to obtain the equations of equilibrium, the boundary conditions and the initial conditions of the problem. The obtained initial boundary value problem is numerically solved employing the analog equation method, a boundary element based method.

Numerical applications are presented to examine the efficiency and accuracy of the prescribed system beam element-rigid hub. Two types of numerical examples are examined. The first one considers the calculation of natural frequencies and the modeshapes of the beam for multiple constant values of angular velocity, while the second one considers the calculation of time histories of the kinematical components of the problem for specific loading.

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