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Numerical computation of a damped slewing beam with tip mass

โœ Scribed by Chen, Guanrong ;Chen, Zhongying ;Xu, Yuesheng

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
163 KB
Volume
15
Category
Article
ISSN
1069-8299

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โœฆ Synopsis

This paper describes an analytical model for a beam system, based on a modiยฎed Timoshenko theory, where the beam is pinned to a hub driven by an actuator at one end and is subject to a heavy load at the other end. A new ecient computational algorithm is then proposed for solving the higher-order non-canonical partial dierential equation model, which is developed based on the generalized dierence method. This allows a suitable selection of dierent trial and test spaces, so as to improve the computational eciency while preserving the high convergence rate of the standard ยฎnite element method. With the trial space of cubic Hermite ยฎnite elements and the test space of piecewise linear functions, the computational scheme reduces to a semi-discretized or even fully discretized computational algorithm. A numerical simulation result is included to visualize the theoretical modelling and computational results.

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