Research Papers: Fluid-Structure Interaction

A Simple Empirical Model for Tube–Support Normal Impact Interaction

[+] Author and Article Information
Reza Azizian

Fluid–Structure Interaction,
Department of Mechanical Engineering,
École Polytechnique de Montréal,
Montreal, QC H3T 1J4, Canada
e-mail: reza.azizian@polymtl.ca

Njuki Mureithi

Interaction Department of
Mechanical Engineering,
École Polytechnique de Montréal,
Montreal, QC H3T 1J4, Canada
e-mail: njuki.mureithi@polymtl.ca

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received November 11, 2012; final manuscript received May 16, 2014; published online August 19, 2014. Assoc. Editor: Samir Ziada.

J. Pressure Vessel Technol 136(5), 051303 (Aug 19, 2014) (12 pages) Paper No: PVT-12-1168; doi: 10.1115/1.4027797 History: Received November 11, 2012; Revised May 16, 2014

Flow-induced vibration in a steam generator may cause tube–support interaction. This long term interaction is a challenging problem as it may lead to tube fretting-wear and possibly tube failure. An estimation of the normal impact force during tube–support interaction is important to precisely quantify material removal. A precise study of the interaction presents several challenges as a result of the many parameters involved during the interaction, including fluid forces, number and type of supports, and geometry of contact. The present study investigates tube–support interaction using a simple experimental rig, consisting of a tube interacting with a flat support positioned at the tube midspan. The work investigates the normal force–displacement relationship and arrives at an estimation of empirical parameters, associated with the nonlinearity in this relationship. The resulting empirical model is used to simulate tube–support interaction for various gap sizes and excitation forces. Comparison with experiments indicates that using the nonlinear spring–damper model significantly reduces the predicted impact force error, to less than 20%, when compared to experimental tests. Various energy dissipation mechanisms during tube–support interaction, including impact and structural damping are also studied. The effect of impact damping on the tube response is investigated, using the Hunt and Crossley model. Investigation on structural damping suggests that using a higher effective structural damping during tube–support contact, depending upon tube–support gap size, improves the accuracy of the estimation of the tube response, at least for moderate gap sizes.

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Fig. 1

Tube–support experimental rig

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Fig. 2

Experimental rig including tube, support, fixture, and shaker

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Fig. 3

Experimental rig with measuring instruments including force transducers and laser displacement sensors

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Fig. 4

Tube–support impact model

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Fig. 5

Experimental measurement of the tube structural damping

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Fig. 6

Tube midspan displacement comparisons experiments and numerical simulations

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Fig. 7

Average peak impact forces comparison between simulations and experiments. (a) gap-0 mm, (b) gap-0.25 mm, and (c) gap-0.5 mm.

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Fig. 8

Impact force time history for the experimental test and numerical simulation using (a) m = infinity and (b) m = 1.67

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Fig. 9

Closeup of a tube–support multiple impacts during one interaction

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Fig. 10

Experimental test and numerical simulation of the tube midspan motion in the horizontal plane normal to the support

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Fig. 11

Average peak impact force comparisons experiments and simulations for m = ∞ and m = 1.67

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Fig. 12

Midspan displacements and average peak impact forces for the experimental tests and numerical simulations

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Fig. 13

The differences between the experimental measurements and numerical simulations: (a) average peak impact forces and (b) midspan displacements

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Fig. 14

Average peak impact force and midspan displacement between the experimental measurements and numerical simulations (a) 0.25 mm gap size and (b) 0.75 mm gap size

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Fig. 15

Tube–support response comparison between simulation and experiment

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Fig. 16

Experimental and numerical simulation of tube–support interaction for ε = 1 and ε = 20

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Fig. 17

Ranges of the optimum parameter ε for different gap sizes



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