A shear beam finite element for the damping analysis oftubular laminated composite beams.pdf

A shear beam finite element for the damping analysis oftubular laminated composite beams.pdf

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A shear beam finite element for the damping analysis oftubular laminated composite beams

ARTICLE IN PRESSJOURNAL OF SOUND AND VIBRATION0022-460X/$ - s doi:10.1016/j.js Correspond E-mail addrJournal of Sound and Vibration 291 (2006) 802–823 /locate/jsviA shear beam finite element for the damping analysis of tubular laminated composite beams D.A. Saravanos, D. Varelis, T.S. Plagianakos, N. Chrysochoidis Department of Mechanical Engineering Aeronautics, University of Patras, Patras 26500, Greece Received 21 January 2004; received in revised form 9 June 2005; accepted 28 June 2005 Available online 18 January 2006Abstract The paper presents a three-dimensional beam element developed for predicting the damping of composite blades with hollow laminated cross-sections. The unified theoretical framework for synthesizing the equivalent damping properties of a tubular composite blade section is outlined. Building upon the damping mechanics, a damped three-dimensional shear beam finite element is developed, which explicitly provides damping, stiffness and mass matrices. A methodology for analyzing the damped free-vibration response of tubular beams is formulated, and modal frequencies and modal damping values are predicted. Application examples illustrate the ability of the beam element to predict the modal damping and modal frequencies of hollow blades of various uniform circular, elliptical and box sections. The results further quantify the ability of the element to capture the strong effect of skin laminations, as well as the contribution of shear to the modal damping of the beam. r 2005 Elsevier Ltd. All rights reserved.1. Introduction The continuous evolution of wind-turbine and helicopter rotors towards longer and more flexible composite blade configurations and the associated implications on blade aero-elastic performance and fatigue life, are placing new requirements for understanding, analyzing and possibly improving the passive damping which composite materials introduce into a tubular composite blade structure. These requirements call, among other iss

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