Research Papers

Reverse Shape Synthesis of the Hydropump Volute Using Stereo-Photogrammetry, Parameterization, and Geometric Modeling

[+] Author and Article Information
Damir Vučina, Zoran Milas, Igor Pehnec

FESB, Faculty of Electrical Engineering, Mechanical Engineering and Naval Architecture,  University of Split, R. Boskovica bb, 21000 Split, Croatia

J. Comput. Inf. Sci. Eng 12(2), 021001 (Feb 10, 2012) (6 pages) doi:10.1115/1.4005719 History: Received June 17, 2011; Accepted November 09, 2011; Revised November 09, 2011; Published February 10, 2012; Online February 10, 2012

An automatic procedure for reverse 3D shape synthesis is proposed. Shape acquisition of an existing object involving stereo-photogrammetry, triangulation, and 3D reconstruction is applied to obtain the point clouds. Subsequent parameterization of the acquired geometry using mathematical surfaces yields a compact set of parameters as shape variables to be used in diagnostics. The developed procedure and several specific computational geometry operators are applied with a hydro-pump casing whose complex shape is processed and related to the volute design and flow theory.

Copyright © 2012 by American Society of Mechanical Engineers
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Figure 1

Basic volute geometry

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Figure 2

Volute cross section, basic attributes

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Figure 3

(a) Velocity triangles, (b) pressure distribution around impeller circumference for design (1) and off-design (2), (3) flow rates

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Figure 4

Basic steps in shape acquisition, image processing, representation, and reverse engineering

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Figure 5

Scanning and surface reconstruction of a pump casing and partial point clouds

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Figure 6

Creating bridges to reduce the size of voids, best-fit cylinders maintaining position, and slope/position with scanned points cloud

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Figure 7

Touch-probe verification of the numerically generated portions of the mesh

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Figure 8

Generated hybrid 3D model of the casing, scanned surfaces with voids completed by numerical mesh generation

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Figure 9

Combined meshes (3D scanned casing and 3D scanned negative), best-fit alignment

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Figure 10

Generating equidistant cross sections (Fig. 5) by applying the intersection operator after polygonization, selecting the active parts of curves (volute) for flow simulation, and transforming into the same coordinate system (bold) for parameterization

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Figure 11

Best-fitting a B-spline curve for representation of one sectional curve

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Figure 12

Parameterization of cross-sectional curves ordered circumferentially, radial beams from the pole, and corresponding B-spline control points

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Figure 13

Evaluation of shape of parameterized cross-sectional curves: (a) radial distances from pole of individual control points for different cross sections and (b) change of cross-sectional area of the casing (volute) in the circumferential direction



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