CAM Design Handbook
Emphasizing computer-aided design and manufacturing techniques, as well as sophisticated numerical control methods, this book allows engineers and technicians to utilize cutting edge design tools.
TABLE OF CONTENTS CAM Design Handbook
Chapter 11: CAM SYSTEM MODELING
J. Christian Gerdes, Ph.D.
Assistant Professor of Mechanical Engineering, Design Division
Stanford University
Palo Alto, California
SYMBOLS
| b | Damping coefficient | lbf/(in/s) | (N/(m/s)) |
| b r | Rotary damping coefficient | ft-lbf/(rad/s) | (Nm/(rad/s)) |
| J o | Mass moment of inertia about O (or moment of inertia of body O) | lbm-in 2 | (kgm 2) |
| K or k | Stiffness or spring rate | lbf/in | (N/m) |
| K r | Rotary stiffness or spring rate | ft-lbf/rad | (Nm/rad) |
| L f | Free length of spring | in | (m) |
| M or m | Mass | lbm | (kg) |
| N | Number active coils | ||
| v p | Velocity vector at point P | in/s | (m/s) |
| v p | Magnitude of velocity at point P | in/s | (m/s) |
| r o | Vector from O to given point | in | (m) |
| ? | Deflection or relative displacement | in | (m) |
| | Relative velocity | in/s | (m/s) |
| ? ? | Angular deflection or displacement | rad | (rad) |
| ? | Mechanical efficiency | % |
|
| ? | Angular velocity vector | rad/s | (rad/s) |
| ? n | Natural frequency | rad/s or Hz | (rad/s or Hz) |
11.1 INTRODUCTION
All models are wrong. Some models are useful. George Box
Everything should be made as simple as possible, but not simpler. Albert Einstein
Engineering modeling is the art of reducing a physical system to a mathematical description in order to analyze system performance. Unlike many familiar problems in mathematics and engineering, the problem of producing a mathematical model for a given system does not possess a unique solution. Many models of various degrees of complexity and detail can be derived for any physical system, and the selection of the right model for a...
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