Research Papers

Radial Basis Functions Update of Digital Models on Actual Manufactured Shapes

[+] Author and Article Information
Marco Evangelos Biancolini

Associate Professor
Department of Enterprise
Engineering “Mario Lucertini,”
University of Rome Tor Vergata,
Via del Politecnico 1,
Rome 00133, Italy
e-mail: biancolini@ing.uniroma2.it

Ubaldo Cella

Research Fellow
Department of Enterprise
Engineering “Mario Lucertini,”
University of Rome Tor Vergata,
Via del Politecnico 1,
Rome 00133, Italy
e-mail: ubaldo.cella@uniroma2.it

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received July 7, 2018; final manuscript received September 28, 2018; published online January 7, 2019. Assoc. Editor: Radu Serban.

J. Comput. Nonlinear Dynam 14(2), 021013 (Jan 07, 2019) (9 pages) Paper No: CND-18-1299; doi: 10.1115/1.4041680 History: Received July 07, 2018; Revised September 28, 2018

In the mechanical engineering world, there is a growing interest in being able to create so-called “digital twins” to assess the impact to performance or response. Part of the challenge is to be able to include and assess manufactured geometries as opposed to nominal design intent, particularly for components that are sensitive to small shape variations. In this paper, we show how the update of digital models adopted in computer aided engineering (CAE) can be conducted according to a mesh morphing workflow based on radial basis functions (RBF). The CAE mesh of the nominal design is updated onto the actual one as acquired from surveying a manufactured individual. The concept is demonstrated on a practical application, the wing structure of the RIBES experiment, showing how the new proposed method compares with a traditional one based on the reconstruction of the geometrical model.

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Fig. 1

Radial basis functions interactions between source points

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Fig. 2

Example of implicit surface

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Fig. 3

Example of PoU sphere centers distribution for three values of spacing

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Fig. 4

CAD model of the RIBES wing

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Fig. 5

HEXAGON metrology electronic harm used to measure the RIBES wing

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Fig. 6

Measured sections of the RIBES wing

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Fig. 7

Comparison between measured and nominal section of the RIBES wing

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Fig. 8

Detail of a NURBS curve approximating the measured points

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Fig. 9

Updated CAE models (CFD and FEM)

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Fig. 10

Target surfaces for the RBF morphing action

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Fig. 11

Differences between surfaces generated by CAD and mesh morphing strategies

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Fig. 12

Comparison of two-dimensional pressure at the sections at 36% of the span



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