Investigation of the nonlinear behaviour of damping controlled fluidelastic instability in a normal triangular tube array

Meskell, Craig; Fitzpatrick, Joan

doi:10.1016/j.jfluidstructs.2003.08.013

Cited by 28 publications

(17 citation statements)

References 23 publications

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“…Under flow conditions the system is weakly non-linear as will be apparent from following sections. More details of the experimental setup can be found in reference [10]. Fig.…”

Section: Methodsmentioning

confidence: 99%

“…No hysteretic behaviour of the stability threshold with the flow velocity has been observed. The drop around a flow velocity of 9 m/s is due to an acoustic resonance [10] and will not be considered here.…”

Section: Methodsmentioning

confidence: 99%

“…In post-stable regimes fluidelastic systems establishes a limit cycle oscillation (LCO) with constant amplitude at a given flow velocity. The total work during one period is zero as shown in [10] is a function of the damping coefficients and fluidelastic frequency only, since all stiffness forces are conservative. The limit cycle amplitude is expressed as…”

Section: Prediction Of Post-stable Responsementioning

confidence: 99%

“…Rzentkowski and Lever [7], [8] have extended the linear model from original work by Lever and Weaver [9] and they obtained some limited agreement with the test data. The empirical non-linear model of a single flexible tube in an otherwise rigid tube array subject to cross flow has been given by Meskell and Fitzpatrick [10]. The parameters of this fluidelastic system have been estimated from the free decay tests using Force State Mapping technique [11], [12], which processes displacement, velocity and acceleration signals acquired independently.…”

Section: Introductionmentioning

confidence: 99%

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A practical approach to parameter identification for a lightly damped, weakly nonlinear system

Eret

Meskell

2008

Journal of Sound and Vibration

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Fluidelastic systems are often lightly damped and exhibit weak non-linear damping. The weak linear and non-linear damping forces have a significant effect on the long term behaviour of the system. However, parameter identification methods tend to concentrate on identifying the strongest forces. In this paper the applicability of two identification methods to a single degree of freedom fluidelastic system is investigated using experimental data. The system is weakly non-linear under the flow conditions and is prone to the fluidelastic instability (i.e. self excited limit cycle behaviour). The crucial effect of the weak damping forces on the system stability and post-stable behaviour has been demonstrated. The non-linearity detection and identification has been done using an analytic representation of the displacement signal (FREEVIB method) and subsequently a non-linear decrement method was used for comparison. The identified models were used to predict the global behaviour of the system in the form of limit cycle amplitudes and this has been used as an indication of accuracy. It was found that the non-linear decrement method yields superior predictions, but it suffers from the limitation that the functional form of the system must be known a priori. Therefore it is concluded that employing both methods together provides a more powerful approach for parameter estimation in a lightly damped system where weak non-linear damping plays an important role.

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“…Under flow conditions the system is weakly non-linear as will be apparent from following sections. More details of the experimental setup can be found in reference [10]. Fig.…”

Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Section: Prediction Of Post-stable Responsementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A practical approach to parameter identification for a lightly damped, weakly nonlinear system

Eret

Meskell

2008

Journal of Sound and Vibration

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“…(14,15) above have been used to generate the memory function for a normal triangular tube array with a pitch ratio of 1.375. A non-dimensional time step of 10 −3 has been used.…”

Section: Determining the Memory Functionmentioning

confidence: 99%

A new model for damping controlled fluidelastic instability in heat exchanger tube arrays

Meskell

2009

Proceedings of the Institution of Mechanical Engineers, Part A:

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Heat exchnager tube arrays are susceptible to damage due to flow-induced vibration, with fluidelastic instability the potnetially the most destructive mechanism. In this paper a simple wake model consisting of a convecting vortex sheet is proposed to represent the transient nature of fluidelastic forces present in a tube array. Using this model, the memory function proposed by Granger and Paidoussis has been obtained without the need to calibrate the model with experimental data. The resulting function is found to compare well with the first and second order empirical approximations. The memory function has been combined with experimental data for the static fluid force to produce a prediction of the critical velocity for a range of mass damping parameter. This stability threshold is in reasonable agreement with experimental data. Therefore it is concluded that vorticity transport may well form part of the underlying mechanism responsible for damping controlled fluidelastic instability, as previously proposed.

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Convolution-based time-domain simulation for fluidelastic instability in tube arrays

Zhang

Øiseth

2021

Nonlinear Dyn

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A convolution-based numerical algorithm is presented for the time-domain analysis of fluidelastic instability in tube arrays, emphasizing in detail some key numerical issues involved in the time-domain simulation. The unit-step and unit-impulse response functions, as two elementary building blocks for the time-domain analysis, are interpreted systematically. An amplitude-dependent unit-step or unit-impulse response function is introduced to capture the main features of the nonlinear fluidelastic (FE) forces. Connections of these elementary functions with conventional frequency-domain unsteady FE force coefficients are discussed to facilitate the identification of model parameters. Due to the lack of a reliable method to directly identify the unit-step or unit-impulse response function, the response function is indirectly identified based on the unsteady FE force coefficients. However, the transient feature captured by the indirectly identified response function may not be consistent with the physical fluid-memory effects. A recursive function is derived for FE force simulation to reduce the computational cost of the convolution operation. Numerical examples of two tube arrays, containing both a single flexible tube and multiple flexible tubes, are provided to validate the fidelity of the time-domain simulation. It is proven that the present time-domain simulation can achieve the same level of accuracy as the frequency-domain simulation based on the unsteady FE force coefficients. The convolution-based time-domain simulation can be used to more accurately evaluate the integrity of tube arrays by considering various nonlinear effects and non-uniform flow conditions. However, the indirectly identified unit-step or unit-impulse response function may fail to capture the underlying discontinuity in the stability curve due to the prespecified expression for fluid-memory effects.

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Investigation of the nonlinear behaviour of damping controlled fluidelastic instability in a normal triangular tube array

Cited by 28 publications

References 23 publications

A practical approach to parameter identification for a lightly damped, weakly nonlinear system

A practical approach to parameter identification for a lightly damped, weakly nonlinear system

A new model for damping controlled fluidelastic instability in heat exchanger tube arrays

Convolution-based time-domain simulation for fluidelastic instability in tube arrays

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