Publication: Vibration Analysis of 3D Curved Beam Element

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Title	Vibration Analysis of 3D Curved Beam Element
Authors/Editors*	Z.H. Zhu, S.A. Meguid
Where published*	Journal of Sound and Vibration
How published*	Journal
Year*	2006
Volume	-1
Number	-1
Pages
Publisher	Elsevier
Keywords	curved beam, finite element method, membrane locking, curvilinear strain description, vibration analysis
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Abstract	The common practice in developing a locking-free curved beam element is to ensure that its interpolation functions of displacement explicitly satisfy the inextensible bending mode for the membrane locking-free condition instead of the rigid body modes. In this paper, we study the impact of this practice on the dynamic characteristics of a finite element by conducting vibration analysis using our newly developed three-node locking-free curved beam element. In this case, the inextensible bending mode condition is satisfied explicitly, while the rigid body modes are satisfied implicitly to 4th order accuracy. Numerical and experimental examples show that the newly developed curved beam element using the implicit representation of rigid body modes is capable of recovering the rigid body modes for low and medium slender curved beam. This is even true for cases involving a half-circular element and predicting the vibration of the curved beam with high accuracy.