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Research Papers

# Geometric Issues in Computer Aided Design/Computer Aided Engineering Integration

[+] Author and Article Information

Mechanical Engineering and Computer Sciences,  University of Wisconsin, 1513 University Avenue, Madison, WI 53706 e-mail: vshapiro@engr.wisc.edu

Igor Tsukanov

Department of Mechanical and Materials Engineering,  Florida International University, 10555 W. Flagler Street, Miami, FL 33174 e-mail: igor.tsukanov@gmail.com

Alex Grishin

Phoenix Analysis and Design Technologies, ASU Research Park, 7755 S. Research Drive, Suite 110, Tempe, AZ 85284 e-mail: alex.grishin@padtinc.com

Solidworks/Cosmosworks is an example of particularly popular and commercially successful mesh-based CAD/CAE integration.

The Kronecker Delta Property [29] implies that $ηj(xi)=δji$ and allows straightforward interpolation of values prescribed at nodes $xi$.

J. Comput. Inf. Sci. Eng 11(2), 021005 (Jun 16, 2011) (13 pages) doi:10.1115/1.3593416 History: Received December 20, 2010; Revised April 01, 2011; Published June 16, 2011; Online June 16, 2011

## Abstract

The long-standing goal of computer aided design (CAD)/computer aided engineering (CAE) integration demands seamless interfaces between geometric design and engineering analysis/simulation tasks. The key challenge to this integration stems from the distinct and often incompatible roles geometric representations play, respectively, in design and analysis. This paper critically examines and compares known mesh-based and meshfree approaches to CAD/CAE integration, focusing on the basic tasks and components required for building fully integrated engineering applications. For each task, we identify the fundamental requirements and challenges and discuss how they may be met by known techniques and proposed solutions.

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## Figures

Figure 7

(a) Function ω satisfying the homogeneous Dirichlet boundary condition; (b) the combination of function ω with B-splines on a 30×30 grid with randomly chosen coefficients; and (c) the combination of function ω with B-splines on a 30×30 grid that approximates the solution of ∇2u=1-sin(y)

Figure 1

Figure 2

Accurate meshing is difficult or impossible for: (a) piston with small features, (b) pedal with many geometric errors highlighted, and (c) David with noisy triangulated surface

Figure 3

(a) PCMs typically cover the domain Ω by circular supports of radial basis functions; the Delaunay triangulation captures the incidence between adjacent basis functions. (b) SSMs allow using any sufficiently complete set of basis functions, in this case B-splines on a uniform grid.

Figure 4

(a) A ring undergoing large deformation, showing the initial and deformed state. Inset shows distorted elements; (b) The same ring undergoing large deformation in a mesh-free environment. The grid represents stationary mesh-free elements, which can accommodate both states.

Figure 5

(a) Two meshed bodies in contact. Note nodes on body 1 must be projected to sides on body 2 to discover nearest compatible degree of freedom; (b) Two examples of meshed surfaces with ambiguous surface normals.

Figure 6

Knot-grid overlayed over two domains. Domain grids are partitioned according to: (a) step 1: create knot-grid to span all domains, (b) step 2: determine inner, boundary, and outer cells, (c) step 3: flag boundary cells common to two or more domains, and (d) step 4: split grid along bounding box of individual domains.

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