Skip to main content

Posts

Showing posts with the label hoecken linkage

Featured Post

Why I Wrote The Sheet Mechanic (And Why Calculations Aren’t Enough)

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...
NEW RELEASE: Stop trying to be a Hero. Start being a Mechanic. Get "The Sheet Mechanic" on Amazon »
Disclosure: As an Amazon Associate, I earn from qualifying purchases.

Design Hoeken’s Linkage in Excel (with Free VBA Simulator)

Figure 1: Geometry of the Hoeken’s straight-line linkage and resulting coupler-point trajectory. The lower portion of the curve approximates straight-line motion over ~180° of crank rotation. The Hoeken’s Linkage is a mechanical engineer's favorite magic trick. It is a four-bar mechanism that converts simple rotational input into a near-perfect straight-line output. Unlike the Watt Linkage (which traces a figure-8), the Hoeken’s Linkage creates a "tear-drop" shape with a long, flat bottom (see Figure 1). This makes it the standard choice for walking robots and intermittent linear actuators. But how do you find the link lengths? If you guess, you get a wobble. This guide provides practical "Golden Ratios" and an Excel VBA tool to simulate the motion path. Advertisement 1. The Geometry: Practical Design Ratios To achieve a usable straight line, link lengths must follow specific proportions relative ...

Hoeken's Linkage: Kinematics and Walking Robot Design

Figure 1: Animated simulation of the Hoeken’s Linkage showing the characteristic "tear-drop" coupler curve. 🚀 New Design Guide Available Don't just read about it—build it. Check out our new tutorial: How to Design a Hoeken’s Linkage in Excel (with Free VBA Simulator) » Introduction to the Hoekens Linkage The Hoekens linkage is a specialized four-bar mechanism designed to convert rotational motion into an approximate straight-line motion. While it serves a similar purpose to other straight-line generators, its unique coupler curve—a "tear-drop" shape—makes it exceptionally useful for intermittent motion and walking machines. One of the most fascinating aspects of kinematic theory is the concept of "Cognates." The Hoekens linkage is actually a cognate linkage of the Chebyshev Straight-line Mechanism . This means that while the physical structure and link lengths differ, they can generate...