Dynamics modeling and analysis of a spatial curved beam with stress stiffening

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (14) : 27-33.

ZHANG Jian-shu1 RUI Xiao-ting1 CHEN Gang-li1

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Abstract

Based on the nonlinear relationship between deformation and strain of elastic flexible bodies, the expression of the potential energy of spatial flexible beams is derived. The effect of stress stiffening is accounted for in the potential energy. The dynamics equation of a spatial curved beam undergoing large displacement and small deformation is deduced using the finite element method of floating frame of reference (FEMFFR) and Hamiltonian variation principle. The order of the dynamic model is reduced by using modal synthesis method. The stress stiffening effect of the curved beam on the system dynamics is accounted for in the deduction procedure, which makes it applicable to the dynamic simulation of multi-flexible-body system with high rotational speed. The effect of stress stiffening is numerically analyzed using the deduced dynamics equations. The simulation results are compared with those obtained from the software of ADAMS and ABAQUS, which shows some defects of the commercial dynamics software. The proposed modeling method for the dynamics of a spatial curved beam with stress stiffening effect will lay a foundation for the modeling and analysis of high speed rotary multi-flexible-body system dynamics under small deformation using FEMFFR.

Key words

a spatial curved beam / the finite element method of floating frame of reference / high rotational speed / stress stiffening

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ZHANG Jian-shu1 RUI Xiao-ting1 CHEN Gang-li1. Dynamics modeling and analysis of a spatial curved beam with stress stiffening[J]. Journal of Vibration and Shock, 2016, 35(14): 27-33

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