Method for evaluating vortex-induced vibration of deep-sea riser under internal and external flow effect
A technology of vortex-induced vibration and deep-sea riser, which is applied in vibration testing, testing of machine/structural components, measuring devices, etc., and can solve problems such as unreasonable design, little consideration of fluid flow in the tube, and unsafety
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[0053] The present invention is described in further detail below in conjunction with accompanying drawing:
[0054] The deep-sea riser usually has a relatively large slenderness ratio and a small difference in radial deformation, so the shear deformation of the riser can be ignored. The Cartesian coordinate system is selected, the x-axis is the downstream direction, the y-axis is the transverse flow direction, and the z-axis is the vertical direction , the equilibrium relationship of the motion equation of the riser structure is:
[0055] The geometric relationship is:
[0056]
[0057] The stress-strain relationship is:
[0058]
[0059] The equilibrium condition is:
[0060]
[0061] The boundary conditions are:
[0062]
[0063] Among them, κ x and κ y is the curvature of the riser after deformation, M x and M y is the section moment, Q x and Q y is the section shear force, I is the section bending moment of inertia, and the bending differential equati...
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