June 26, 2011
June 26, 2011
June 29, 2011
Engineering Design Graphics
22.1472.1 - 22.1472.14
The Inside Story: Revealing the Contents of CAD’s Black BoxTopics covered in introductory solid modeling courses typically include the creation of variousfeatures such as extrusions, revolves and pick-and-place features, modeling strategies, sketchconstraint methods, assemblies, and creating and formatting drawings, amongst other topics fromthe conventional graphics curriculum. Advanced CAD courses may also cover the creation ofmore complex swept and blended surfaces or solids, as well as applications such as simulation,manufacturing and analysis. However, it is uncommon for CAD courses to delve into theunderlying mathematics behind these CAD models. Is it important for students to understand thefoundational mathematics that are used by the CAD systems to create and constrain complexgeometries and parametric models? Does this understanding make them better able to modelparts? This paper will discuss several projects completed in a course on geometric modeling forsenior/graduate level students in mechanical engineering. Students may have diverse CADbackgrounds, and therefore the projects are not dependent upon the use of a particular CADsoftware package. Projects are executed using a combination of CAD software, spreadsheets andequation solvers. Students explore the mathematics used to define cubic and higher order Beziercurves and splines, derive and solve sketch constraint equations, and generate constraintconditions for variational solid models. This exposure to the mathematical foundations within theCAD systems is intended to provide insight that will make the students better able to modelcomplex shapes and build more robust solid models.
Ault, H. K. (2011, June), The Inside Story: Revealing the Contents of CAD’s Black Box Paper presented at 2011 ASEE Annual Conference & Exposition, Vancouver, BC. 10.18260/1-2--18593
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