Chinese Journal of Theoretical and Applied Mechani ›› 2006, Vol. 38 ›› Issue (2): 276-282.DOI: 10.6052/0459-1879-2006-2-2005-101
• Research paper •
In this paper, the modeling theory of rigid-flexible coupling dynamics of a
flexible beam with three-dimensional large overall motion is studied. Based
on the precise strain-displacement relation, the rigid-flexible coupling dynamic
equations are derived using the velocity variational principle, in which the
virtual power of the torsion force and the inertial torque of the beam
element are included and the geometric nonlinearity is taken into account.
Finite element method is employed for discretization. Simulation of a
spatial beam system is used to show the influence of torsion and cross
section rotary inertia on the dynamic performance of the system.
Conservation of energy in case of free motion is shown to verify
the proposed nonlinear model. It is shown that the torsion
deformation influences not only the axial angular velocity of the hub,
but also the lateral angular velocity of the hub and the bending
deformation of the beam.
flexible beam,three-dimensional large overall motion,rigid-flexible coupling dynamics,geometric nonlinearity,cross section rotary inertia,torsion
,,. Rigid-flexible coupling dynamics of a flexible beam with three-dimensional[J]. Chinese Journal of Theoretical and Applied Mechani, 2006, 38(2): 276-282.
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