Simulation of Vibro-Acoustics in Flexible Piping Systems

Maess, Matthias; Gaul, Lothar

doi:10.1002/gamm.201490011

Cited by 2 publications

(8 citation statements)

References 14 publications

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“…Here, the energy error function is introduced. The constitutive functions η and ξ in (31) are given according to (8) in the dimensionless form.…”

Section: Variational Approach Based On the Midrmentioning

confidence: 99%

“…Another numerical technique proposed in Rauh et al [10] is the modification of the PetrovGalerkin approach relying on the MIDR where the constitutive relations (8) are considered as their integral projections on some specially chosen function spaces V 1,2 according to…”

Section: Projection Approach Based On the Midrmentioning

confidence: 99%

“…If the fluid is not at rest, the acoustic model has to be modified, and the influence of the internal flow on the vibration modes can be studied [7]. The questions of controllability and observability in vibro-acoustic problems for flexible piping systems are discussed in [8].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Integrodifferential approaches to frequency analysis and control design for compressible fluid flow in a pipeline element

Kostin

Saurin

Aschemann

et al. 2013

Mathematical and Computer Modelling of Dynamical Systems

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In this study, modelling, frequency analysis, and optimization of control processes are considered for the fluid flow in pipeline systems. A mathematical model of controlled pipeline elements with distributed parameters is proposed to describe the dynamical behaviour of compressible fluid which is transported in a long rigid tube. By exploiting specific functions representing cross-sectional forces and effective displacements as well as linear approximations of fluidic resistances, the original problem with non-uniform parameters is reduced to a partial differential equation (PDE) system with constant coefficients and homogeneous initial and boundary conditions. Three numerical approaches are applied to an efficient analysis of natural vibrations and reliable control-oriented modelling of pipeline elements. The conventional Galerkin method is compared with the method of integrodifferential relations based on a weak formulation of the constitutive laws. In the latter approach, the original initial-boundary value problem is reduced to the minimization of an error functional which provides explicit energy estimates of the solution quality. A novel projection approach is implemented on the basis of the Petrov-Galerkin method combined with the method of integrodifferential relations. This technique benefits from the advantages of the above-mentioned projection and variational approaches, namely sufficient numerical stability, a lower differential order, and an explicit quality estimation. Numerical optimization procedures, making use of a modified finite element technique, are proposed to obtain a feedforward control strategy for changing the pressure and mass flow inside the pipeline system to a desired operating state. At this given finite point of time, residual elastic oscillations inside the pipeline are minimized. Numerical results, obtained for ideal as well as viscous fluid models, are analysed and discussed.

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“…Here, the energy error function is introduced. The constitutive functions η and ξ in (31) are given according to (8) in the dimensionless form.…”

Section: Variational Approach Based On the Midrmentioning

confidence: 99%

Section: Projection Approach Based On the Midrmentioning

confidence: 99%

See 1 more Smart Citation

Integrodifferential approaches to frequency analysis and control design for compressible fluid flow in a pipeline element

Kostin

Saurin

Aschemann

et al. 2013

Mathematical and Computer Modelling of Dynamical Systems

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show abstract

“…The data is often collected in the time domain and transformed to the frequency domain using an FFT. The H1 formulation shown in equation (12) uses the crosspower between the input and output signals, ( ) in the numerator and the autopower of the input, ( ) in the denominator. The * denotes the complex conjugate of the measured spectrum.…”

Section: Experimental Characterization Methods With Measured Inputsmentioning

confidence: 99%

“…Additionally, the FBN energy in the hose can excite hose resonances causing high vibration levels at any attached frame structure. Hydraulic circuit network SBN responses have been modeled with finite element methods [12]. Numerous experimental test methods have been developed and compared for experimentally determining SBN sound power at mounting points [13].…”

Section: Structure-borne Noisementioning

confidence: 99%

Experimental Characterization of Hydraulic System Sound

Kolb¹

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Simulation of Vibro-Acoustics in Flexible Piping Systems

Cited by 2 publications

References 14 publications

Integrodifferential approaches to frequency analysis and control design for compressible fluid flow in a pipeline element

Integrodifferential approaches to frequency analysis and control design for compressible fluid flow in a pipeline element

Experimental Characterization of Hydraulic System Sound

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