Actuated 8DOF Bennett Linkages

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Year
2013
Contribution
3D
3D
Intro
After exploring various hinge systems, I learned about Bennett linkages and their use in temporary shelters. By developing a lightweight 8DOF linkage system and connecting it to actuators, fabric, and an Arduino, I produced an installation that visualized earthquakes of various magnitudes.

What was the central goal?

Concept & Design 

1. Bennett linkages that are used in deployable structures for natural disaster relief

2. Working with a planar hinge system in connection with a 3D system

3. Lastly, integrating that planar hinge system with fabric to honor our collaboration with the Eastman Machine Company

Structure 

• 4 bar linkage (open and close, 180 degrees)

• 4 bar linkages connected (16 degrees of freedom) – by moving one, it has an effect on the others (earthquakes)

• 4 bar linkage (open and close in 360 degrees)

• 8 bar linkage (decreasing degrees of freedom so that one module controls the entire structure)

• Rapid expansion and contraction 

Hinge

• Joints 

• Rotation (Mathematics)

• Acrylic and nylon (‘invisible’ and lightweight)

• There are 8 bars, and there are 4 joint configurations. 

• Collection of bars – all configurations and pins

Fabric

• Stretch mesh – as structure expands and contracts different degrees of ‘translucency’

• When the structure is collapsed, the mesh is nearly opaque. But the hinges can be seen once it expands to full size.

• The initial concept envisioned human intervention, but this was later changed to use data from earthquakes instead to strengthen the connection between the hinge system and disasters.

Seismicity & Stepper Motor Actuation

First rotation (90) to Second rotation (180)

Earthquakes with magnitudes M1 up to M3.9

Second rotation (180) to Third rotation (270)

Earthquakes with magnitudes M4 up to M6.9

First rotation (90) to Third rotation (270)

Earthquakes with magnitudes M7 – M10

Live data will only activate the first one 

Data scaled from 2011 (with Japan’s earthquake of M = 9.0) activates the entire expansion

M1 – M3.9 data is from local, all other from international sources 

Early Grasshopper script for a 1D expandable frame
Minimized version
Maximized version
First prototype out with simple screws
Early prototype of the minimized configuration
Maximized configuration
Maximized configuration
Dataset from USGS to configure the step motors
Modeling each piece in Rhino
Early model showing how the assembly could be suspended with rigid rods with one stepper motor at the central joint.
Exploring fabric connections
Full acrylic prototype
No items found.

And the tl;dr

This project was a success in many ways, but fell apart towards the end.

  1. Even though each individual part worked, the installation went sour at the last minute. The ceiling of the space was extremely high, necessitating a scissor ladder to access it. This was granted the day before the final presentation, which didn't leave enough time to test.
  2. The acrylic was not rigid enough and deflected heavily under gravity. If I were to attempt the project again, I might use rigid posterboard or aluminum. The acrylic made for a striking visual, though.
  3. Even with the installation challenges, I learned an incredible amount from this work. I was able to turn disparate research papers on various linkage system into a working prototype in Grasshopper then in material in just a few weeks.

Researching linkages for use in natural disasters
Hoberman's assemblies as a precedent
Experimenting with different configurations of four bars
Experimenting with ways to achieve 3D mobility with a planar system
The first iteration imagined human interaction
Joint and bar design for expansion and contraction
Our class partnered with the Eastman Machine Company. The goal was to use a lightweight nylon fabric to enclose the hinges.
Visualizing the relationship between Richter scale and energy released.
Mathematical formulation that led me to the 8-bar linkage.
Visualization of response spectra
The dataset I planned to use
Relationship between the data and the structure's response
Prototype of the intended behavior
Process of working
No items found.

Projects or questions?

Let's do the thing.

Email me at brijhette [dot] farmer [!at] gmail [dot] com