For engineers who already know the math—but still lose projects. For the last few years, I’ve been sharing technical guides here on Mechanical Design Handbook —how to size a motor, how to calculate fits, and (as you recently read) how to choose between timing belts and ball screws. But after 25 years in industrial automation, I realized something uncomfortable: Projects rarely fail because the math was wrong. They fail because: The client changed the scope three times in one week. A critical vendor lied about a shipping date (and no one verified it). The installation technician couldn’t fit a wrench into the gap we designed. University taught us the physics. It didn’t teach us the reality. That gap is why I wrote my new book, The Sheet Mechanic . This is not a textbook. It is a field manual for the messy, political, and chaotic space between the CAD model and the factory floor. It captures the systems I’ve used to survive industrial projec...
In the field of High-Speed Industrial Automation , simple geometric curves often fail. To achieve the smooth, vibration-free motion required by modern CNC machines and textile equipment, engineers must turn to advanced mathematics: Polynomial Cam Functions . Figure 1: High-speed automation requires mathematical precision that simple geometric curves cannot provide. Advertisement The Fundamental Law of Cam Design According to the "Bible" of mechanism design ( Fundamentals of Machine Design, Robert L. Norton ), any high-speed cam must obey two critical rules to avoid catastrophic machine failure: CRITICAL DESIGN RULES: 1. Continuity: The cam function must be continuous through the first (Velocity) and second (Acceleration) derivatives across the entire 360-degree interval. 2. Finite Jerk: The jerk function (the derivative of acceleration) must remain finite across the entire interval. Why "Jerk" Matte...