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

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 f...

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Bibliographic Details
Published in:Nonlinear dynamics Vol. 104; no. 4; pp. 4063 - 4081
Main Authors: Zhang, Mingjie, Øiseth, Ole
Format: Journal Article
Language:English
Published: Dordrecht Springer Netherlands 01.06.2021
Springer Nature B.V
Subjects:
Algorithms
Arrays
Automotive Engineering
Classical Mechanics
Coefficients
Control
Convolution
Dynamical Systems
Engineering
Frequency domain analysis
Impulse response
Mechanical Engineering
Nonuniform flow
Numerical analysis
Original Paper
Parameter identification
Recursive functions
Response functions
Simulation
Stability analysis
Time domain analysis
Tubes
Vibration
Unit-step response function
Tube array
Unit-impulse response function
Convolution
Nonlinear fluidelastic (FE) force
Fluidelastic instability (FEI)
ISSN:0924-090X, 1573-269X
Online Access:Get full text
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Summary: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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ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-021-06475-3