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Kinematic Analysis Method: Application of a Vector Approach to Mechanisms
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Sector:
Event:
Mid-Year Meeting
Language:
English
Abstract
This is the sixth paper in a series of six papers describing the KAM (Kinematic Analysis Method) system being developed by the IBM Automotive and Machine Design Project. The system will be used in the analysis of most industrial linkages for which an explicit position solution exists. This paper describes the application of vector algebra to a linkage mechanism that is more complex than those classes acceptable to the KAM system. The intent here is to outline the methods developed, and their advantages, for such an application of vector algebra.
Topic
Citation
Bitonti, F., "Kinematic Analysis Method: Application of a Vector Approach to Mechanisms," SAE Technical Paper 650439, 1965, https://doi.org/10.4271/650439.Also In
References
- Chace M. A., “Development and Application of Vector Mathematics for Kinematic Analysis of Three-Dimensional Mechanisms.” Ph.D. dissertation, University of Michigan, 1964.
- Yang A. T., “Application of Quaternion Algebra and Dual Numbers to the Analysis of Spatial Mechanisms.” Ph.D. dissertation, Columbia University, 1963.
- Hartenberg R. S. and Denavit J., “Analysis of Spatial Linkages by Matrix Methods.” Northwestern University.
- Kaplan W., “Advanced Calculus.” Cambridge, Mass.: Addison-Wesley Press, Inc., 1952.
- Wegstein J. H., “Accelerating Convergence of Iterative Processes,” National Bureau of Standards, Washington, D. C.
- Cooper, D. W. “Kinematic Analysis Method: A Computer Aided Design Analysis System.” SAE Transactions, Vol. 64 (1966), Paper 650434.
- Frayne, D. N. “Kinematic Analysis Method: The Programmed System.” SAE Transactions, Vol. 64 (1966), Paper 650435.
- Bitonti, F. E. “Kinematic Analysis Method: Position Calculation.” SAE Transactions, Vol. 64 (1966), Paper 650436.
- Hansen, H. H. “Kinematic Analysis Method: Determining Velocity and Acceleration.” SAE Transactions, Vol.64 (1966), Paper 650437.
- Cooper, D. W. “Kinematic Analysis Method: Force and Torque.” SAE Transactions, Vol. 64 (1966), Paper 650438.
- Uicker John J., “Velocity and Acceleration Analysis of Spatial Mechanisms Using 4 × 4 Matrices.” Report to National Science Foundation, Contract No. NSF-G-19704, Northwestern University, Evanston, Illinois, September 1963.
- Uicker John J., “Displacement Analysis of Spatial Mechanisms by an Iterative Method Based on 4 × 4 Matrices.” Master’s Thesis, Northwestern University, 1963.
- Yang A. T., “Application of Quaternion Algebra and Dual Numbers to the Analysis of Spatial Mechanisms.” Ph.D. dissertation, Columbia University, 1963.
- Ling, “The Logical and Analytical Structure of the Computer-Aided Design Process as Applied to a Class of Mechanical Design Problems,” Ph.D. dissertation, University of Michigan, 1964.