The Finite Element Model Research of the Pre-Twisted Beam

Abstract

Based on the traditional mechanical model of straight beam element, the paper makes a systematic analysis and research on the pre-twisted beam finite element numerical model. Firstly, the paper proposed the pre-twisted Euler beam element mode, the mode uses 2 node and 12 freedom degrees, the element axial and torsion displacements use 2 nodes Lagrange interpolation function, bending displacement still use the cubic displacement. Secondly, the paper studies a new pre-twisted Timoshenko beam element mode, the proposed new Timoshenko beam element takes separate interpolation polynomial functions both flexure bending and rotation displacement. According to the relationship between bending moment and shear, the relationship between of bending displacement and angle displacement is derived, which is more accurate to consider the effects of shear deformation. Finally, by calculating the pre-twisted rectangle cantilever beam example, and contrasting three-dimensional solid finite element using ANSYS, the comparative analysis results show that pre-twisted Timoshenko beam element mode has good accuracy.

Parametric instability of twisted Timoshenko beams with localized damage

“…The influences of twist angles and spinning speed on the natural frequencies and buckling loads were discussed. The twisted Euler beam and Timoshenko beam element model were proposed by Chen et al [35] to analyze the twisted beam by the traditional mechanical model of straight beam element. The results reveal that the proposed twisted Timoshenko beam element model has good accuracy.…”

Nonlinear vibration, stability, and bifurcation analysis of unbalanced spinning pre-twisted beam

“…Finally, the instability of the beam was discussed in terms of the twist angle, spinning speed, static axial force, and aspect ratio. In other work, Chen et al [37] used finite element software ANSYS to analyze the behavior of the rotational pre-twisted Timoshenko beam. Based on the relationship between bending and shear moments as a cubic polynomial, the relationship between bending and angular displacements was derived, which was more accurate by considering the effects of shear deformation.…”