Skip to main content

Featured Post

Laser Rust Removal: Engineering Science & Best Workshop Tools

There is something inherently satisfying about watching a layer of heavy oxidation vanish instantly under a beam of light. But for engineering design managers and automation specialists, this isn't magic—it is Laser Ablation . In the field of industrial maintenance, non-contact surface cleaning is becoming the gold standard for restoring precision parts without altering the substrate tolerance. Advertisement The Physics: How Laser Ablation Works Laser cleaning operates on the principle of sublimation . The process relies on the differential absorption coefficients of the materials involved. When the high-energy pulse hits the surface, two things happen: The Oxide Layer (Rust): Has a high absorption rate. It absorbs the energy, heats up rapidly, and transitions directly from a solid state to a gas (plasma) phase. The Substrate (Steel): Has a high reflection rate. Once the rust is removed, the laser reflects off the shiny metal, eff...
Disclosure: As an Amazon Associate, I earn from qualifying purchases.

Timing Diagram (Part 1 - No Overlap Movement)

When you search Google for "timing diagram", you typically find results about electrical timing diagram software for digital logic or PLC programming. However, in the context of Mechanical Machine Design, a Timing Diagram is a critical engineering tool that represents the sequential kinematics of mechanism movement.

Advertisement

It is the standard visualization for engineers to ensure synchronization between cam drives, servo motors, and pneumatic actuators in complex automation cells.

The Cost of Poor Timing:
By properly designing the timing diagram, we can optimize motion profiles to be smoother even at higher speeds. This directly improves OEE (Overall Equipment Effectiveness) and significantly reduces operational costs.

We typically draw the timing diagram using the Master Cam Angle (degrees) on the horizontal axis and the Mechanism Displacement (mm) on the vertical axis.

The Goal: Reducing Inertial Forces & Maintenance

The primary purpose of a timing diagram is not just to see "when" things move, but to identify opportunities to reduce the acceleration (and thus the inertial force) of moving parts.

Experience shows that many mechanisms are designed without using "overlap" movement. This forces machine parts to travel from point A to point B in a very short time window. This rapid movement causes massive acceleration spikes, leading to:

  • Increased torque demand and thermal stress on servo motors and gearboxes.
  • Harmonic vibration that loosens fasteners.
  • Premature bearing failure, requiring expensive predictive maintenance and unplanned downtime.

If we provide overlap motion between relevant mechanisms, the parts can travel the same distance but over a longer period (larger cam angle). This drastically reduces peak acceleration, lowers the inertial forces, and extends the machine's lifespan.

Real-World Example: Indexing Mill Die Press

Let's analyze a simple automation station: A press mechanism that inserts a die into a hole on an indexing mill (turret).

Sketch of indexing mill and die press mechanism
Figure 1: Schematic of the turret indexing and die insertion mechanism.

Operation Parameters:

  • Turret: 24 stops, moves 100 mm arc length per index.
  • Turret Motion: Uses a Cycloid Cam Profile with an indexing angle of 150°.
  • Die Stroke: After the mill stops, the die moves down (Cycloid profile) into the hole.
  • Travel Distance: 20mm (approach) + 31mm (depth) - 1mm (gap) = 50 mm.
  • Process Requirement: The die must dwell (stay) at the bottom for 100°.
  • Return: It moves up before the mill rotates again.
  • Total Cycle: 360° (One complete machine cycle).

Advertisement

Scenario 1: No Overlap Calculation (The "Bad" Design)

If we design the timing diagram linearly without any overlap, the sequence is rigid: The die waits until the mill has completely finished indexing before it starts moving. This is a common beginner mistake.

Timing diagram showing rigid sequencing with no overlap
Figure 2: A rigid "No Overlap" timing diagram creates extremely short move windows.

Calculating the Available Time

With no overlap, the die must fit its entire Down-Dwell-Up movement into the remaining time after the mill stops.

Angle for Die = 360° - Mill Indexing - Die Dwell

Angle = 360° - 150° - 100° = 110°

We must split this remaining 110 degrees equally for the Up and Down strokes.

Move Time = 110° / 2 = 55°

Resulting Sequence:

  • 0° - 150°: Mill Indexes (Die waits).
  • 150° - 205°: Die Moves Down (Duration: 55°).
  • 205° - 305°: Die Dwells at bottom (Duration: 100°).
  • 305° - 360°: Die Moves Up (Duration: 55°).
⚠️ Engineering Warning:
This calculation is easy, but is it efficient? Compressing a 50mm move into just 55 degrees of rotation creates massive inertial forces.

In the next post [Timing Diagram Part 2: Maximum Acceleration], we will calculate the G-forces generated by this "No Overlap" design. We will then compare it with an optimized "Overlap" design using a simple Microsoft Excel simulation to visualize the dramatic difference in motion smoothness.

Comments

Popular posts from this blog

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...

Watt Straight-Line Linkage: Analysis and Automotive Uses

Figure 1: Watt's linkage example geometry and path generation. Introduction to Watt's Linkage The Watt's linkage (also known as the parallel motion linkage) is a cornerstone in the history of mechanical engineering. It is a type of four-bar linkage originally invented by James Watt in the late 18th century to solve a critical problem in steam engine design: constraining the piston rod to move in a straight line without using high-friction guideways. Before this invention, engines used chains to connect the piston to the beam, which meant they could only pull, not push. Watt's rigid linkage allowed for double-acting engines (pushing and pulling), doubling the power output. He was immensely proud of this kinematic solution, describing it in a 1784 letter to his partner Matthew Boulton: "I have got a glimpse of a method of causing a piston rod to move up and down perpendicularly by only fixing it to a piece of iron u...

Dowel Pins & Locating Pins: The Basics of Fixture Design

Figure 1: A typical fixture setup. Notice how dowel pins (silver) provide precise location, while bolts (not shown here) provide the clamping force. In the world of Precision Engineering , the difference between a high-quality product and a scrap part often comes down to microns. While bolts hold parts together, they are terrible at positioning them. This is where Dowel Pins and Locating Pins become essential components in industrial tooling . Advertisement What is a Dowel Pin? Dowel pins are precision-ground fasteners used to secure the relative position of two parts. They are typically machined to extremely tight tolerances (often within 0.0001 inches) and are available in materials like: Hardened Steel: For high-wear applications in CNC fixtures . Stainless Steel: For corrosion resistance in medical or food processing machinery. Plastic (Thermoplastic): For lightweight, non-conductive, low-load alignment. The ...