2006
DOI: 10.1088/0026-1394/43/3/015
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Finite element method used for calculation of the distortion coefficient and associated uncertainty of a PTB 1 GPa pressure balance—EUROMET project 463

Abstract: The national metrology institutes and their partners participating in EUROMET Project 463 developed finite element methods (FEM) for calculation of the pressure distortion coefficients, including their uncertainties, of pressure balances operated at pressures up to 1 GPa and applied them to a PTB 1 GPa piston–cylinder assembly. The methods use axisymmetric models developed and analysed on the basis of the experimental data including the elastic properties of the piston–cylinder materials, pressure-dependent de… Show more

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Cited by 25 publications
(38 citation statements)
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“…Our approach of disregarding the covariance term cov ( A 0 , l) for the generated pressure in the absence of specific known covariance information is consistent with experimental recommendations for national metrology institutes for pressure balances operated in free deformation mode as documented in for example EURAMET CG3 [12], and results from theoretical finite element based studies for pressure balances operated in both free deformation and controlled clearance modes such as the EUROMET Project 463 by Sabuga et al [13] and in controlled clearance modes only by Dogra et al [14] respectively. As a result of our choice to disregard covariance effects in the generated pressure calculation when implementing a GS1 Monte Carlo approach as discussed by Cox and Siebert [15] for the pressure generation calculations, it will then usually suffice to sample with appropriate numerical techniques for the inputs q i from univariate PDFs g i (j i ) associated with the corresponding input parameters q i where j i is a random variable of q i unless information of a joint PDF is specifically available.…”
Section: F (T T Ref ) and F (T T Ref ) =1 + A (T à T Ref )supporting
confidence: 78%
“…Our approach of disregarding the covariance term cov ( A 0 , l) for the generated pressure in the absence of specific known covariance information is consistent with experimental recommendations for national metrology institutes for pressure balances operated in free deformation mode as documented in for example EURAMET CG3 [12], and results from theoretical finite element based studies for pressure balances operated in both free deformation and controlled clearance modes such as the EUROMET Project 463 by Sabuga et al [13] and in controlled clearance modes only by Dogra et al [14] respectively. As a result of our choice to disregard covariance effects in the generated pressure calculation when implementing a GS1 Monte Carlo approach as discussed by Cox and Siebert [15] for the pressure generation calculations, it will then usually suffice to sample with appropriate numerical techniques for the inputs q i from univariate PDFs g i (j i ) associated with the corresponding input parameters q i where j i is a random variable of q i unless information of a joint PDF is specifically available.…”
Section: F (T T Ref ) and F (T T Ref ) =1 + A (T à T Ref )supporting
confidence: 78%
“…As known from former FEA studies, the results of hydrodynamic modelling strongly depend on the initial real gap profile between the undistorted piston and the cylinder [6]. In particular, information about the cylinder bore profile near the exit is important because the gap in this region becomes the narrowest under high pressure and therefore has a strong effect on the pressure distribution, vf and λ.…”
Section: Dimensional Propertiesmentioning
confidence: 99%
“…Combining the structural FEA of the HP PCA with a hydrodynamic analysis of its piston-cylinder gap, λ and vf were calculated using the iterative method described in [6]. As a pressure-transmitting medium, two liquids were considered: di(2)-ethyl-hexyl-sebacate (DHS) at pH ≤ 0.5 GPa and polydiethylsiloxan PES-1 for pH ≤ 1.6 GPa, whose properties are presented in 3.2.3.…”
Section: Feamentioning
confidence: 99%
“…Prior to computation, a model of the piston-cylinder assembly was designed. The piston-cylinder assembly is taken as a 2D model [2,3,13] assuming axial symmetry as shown in figure 2. Assuming point no 8 in figure 2 as the origin, the coordinates of the other key points were calculated.…”
Section: Modeling Of Piston and Cylinder For Elastic Distortion Calcumentioning
confidence: 99%
“…All the components are interdependent and complex in nature, and very few available methods provide solution. It is for this reason a number of quite different techniques have been reported to be used, and among them application of the finite element method (FEM) has been quite significant and important [2,3]. The complexity of the geometry and the boundary conditions makes the FEM more reasonable in solving mechanical problems.…”
Section: Introductionmentioning
confidence: 99%