Research Papers

Fluid-Conveying Flexible Pipes Modeled by Large-Deflection Finite Elements in Multibody Systems

[+] Author and Article Information
J. P. Meijaard

Laboratory of Mechanical
Automation and Mechatronics,
University of Twente,
Enschede NL-7500 AE, The Netherlands;
Olton Engineering Consultancy,
Enschede NL-7514 BC, The Netherlands
e-mail: J.P.Meijaard@utwente.nl

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received January 15, 2013; final manuscript received July 5, 2013; published online October 9, 2013. Assoc. Editor: Johannes Gerstmayr.

J. Comput. Nonlinear Dynam 9(1), 011008 (Oct 09, 2013) (7 pages) Paper No: CND-13-1007; doi: 10.1115/1.4025353 History: Received January 15, 2013; Revised July 05, 2013

The modeling and simulation of flexible multibody systems containing fluid-conveying pipes are considered. It is assumed that the mass-flow rate is prescribed and constant and the pipe cross section is piecewise uniform. An existing beam element capable of handling large motions is modified to include the effect of the fluid flow and the initial curvature of the pipe. The modified element is incorporated in a finite-element based multibody system dynamics program, which takes care of the connection with other parts of the system and the simulation. The element is applied in several test problems: the buckling of a simply supported pipe, the flutter instability of a cantilever pipe, and the motion of a curved pipe that can rotate about an axis perpendicular to its plane. As a three-dimensional example, a Coriolis mass-flow rate meter with a U-shaped pipe is considered.

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Fig. 1

Simply supported pipe

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Fig. 3

Transient tip deflection for a cantilever pipe with m· = 30kg/s; dashed-dotted: two elements; dashed: four elements; fully drawn: eight elements

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Fig. 4

Semicircular rotating pipe

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Fig. 5

Angular velocity of a rotating curved pipe; dotted: EI = 10 Nm2; dashed-dotted: EI = 100 Nm2; dashed: EI = 1000 Nm2; fully drawn: rigid

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Fig. 6

U-shaped mass-flow rate meter pipe. The sensors are at the positions S1 and S2.

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Fig. 7

Dimensionless natural circular frequency as a function of the dimensionless mass-flow rate for a water-filled pipe with b = 3a; fully drawn: present study; dashed: from Ref. [9]

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Fig. 8

Time difference of zero crossing between the two measurement points as a function of the mass-flow rate




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