Journal article
Automated Design and Parametrization of Mechanical Part Geometry
Research in engineering design, Vol.11(4), pp.206-217
12/1999
DOI: 10.1007/s001630050015
Abstract
Variational methods for evaluating the design of mechanisms were first introduced by this group in the form of mathematical formulations generally applicable to open- and closed-loop mechanisms. This method is extended here, and demonstrated on the design of mechanical parts in the context of automatic parametrization of the geometry. The formulation is based on the development of constraint equations that govern the relationships between geometry in a mechanical part as dictated by a designer. Instead of the tedious method of specifying mathematical relations between any two geometries of the part, it is proposed to use the notion of kinematic relations inherent in the formulation relating the connectivity between joints and links. Cut-joint constraints are introduced, kinematic joints in the formulation are combined, their variations evaluated, and a Jacobian is determined. Constraint violations are then compensated to compute an assembled mechanism, hence redesigning the part. It is shown that this kinematically-driven formulation is broadly applicable to 2D and 3D models. The method and algorithm are illustrated through a number of examples.
Details
- Title: Subtitle
- Automated Design and Parametrization of Mechanical Part Geometry
- Creators
- K Abdel-Malek - Department of Mechanical Engineering and Center for Computer Aided Design, The University of Iowa, Iowa City, USA USH.-L Zou - Structural Dynamics Research Corporation, Research and Development Department, Milford, OH, USA USJ.-Y Wang - Structural Dynamics Research Corporation, Research and Development Department, Milford, OH, USA USS Othman - US National Advanced Driving Simulator, Oakdale, IA, USA US
- Resource Type
- Journal article
- Publication Details
- Research in engineering design, Vol.11(4), pp.206-217
- Publisher
- Springer-Verlag London Limited; London
- DOI
- 10.1007/s001630050015
- ISSN
- 0934-9839
- eISSN
- 1435-6066
- Language
- English
- Date published
- 12/1999
- Academic Unit
- Roy J. Carver Department of Biomedical Engineering; Mechanical Engineering
- Record Identifier
- 9984064118602771
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