The Finite Element Model Study of the Pre-Twisted Timoshenko Beam

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Abstract:

The paper studies a new mechanical model of pre-twisted Timoshenko beam. But it is different from the conventional Timoshenko straight beam; the proposed new Timoshenko beam element takes separate interpolation polynomial functions both flexure bending displacement and angular displacement. According to the relationship between bending moment and shear, the relationship between of bending displacement and angle displacement is derived, more accurate to consider the effects of shear deformation, come up with a new initial reverse Timoshenko beam element stiffness matrix. Finally, by calculating the pre-twisted rectangle section beam example, and contrasting three-dimensional solid finite element using ANSYS, the comparative analysis results show that pre-twisted Timoshenko beam element stiffness matrix has good accuracy.

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Periodical:

Advanced Materials Research (Volumes 446-449)

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3587-3590

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Online since:

January 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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