From CAM Design Handbook
Harold A. Rothbart, D. Eng.
- Appendix A:BASIC CONTOURS
- Appendix B:BASIC CAM CURVE FACTORS
- Appendix C:POLYNOMIAL COEFFICIENTS
- Appendix D:CAM COMPUTER SOFTWARE
- Appendix E:CAD/CAM FOR A MEDICAL INSTRUMENT CAM MECHANISM
- Appendix F:OPTIMAL CONTROL THEORY DERIVATION FOR TWO-POINT BOUNDARY VALUE PROBLEM
Harold A. Rothbart is a noted consulting engineer and lecturer, and is the author of numerous books including McGraw-Hill s Mechanical Design Handbook. He is the former Dean of the College of Science and Engineering at Fairleigh Dickinson University in New Jersey.
An ellipse is a curve generated by a point moving so that the sum of the distances from the two fixed points ( F 1 and F 2) called foci is a constant. The basic equation for the ellipse is
where X = value of the curve in one direction
Y = value of the curve in other direction
a = 1/2 major axis
b = 1/2 minor axis
We note that the foci of the ellipse F 1 and F 2 are a distance a from the ends of the minor axis. Also the major axis equals 2 a in length. For construction of the ellipse the reader is referred to Sec. 2.3.
Figure A.1. Ellipse.
A parabola is a curve generated...
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