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VERTICAL MODULATIONS

ETH Zurich

PROJECT TEAM: ANA ANTON, ANGELA YOO, PATRICK BEDARF,

LEX REITER, TIMOTHY WANGLER, BENJAMIN DILLENBURGER

ETH ZURICH DIGITAL BUILDING TECHNOLOGIES AND PHYSICAL

CHEMISTRY OF BUILDING

DATE BUILT: 2019

Vertical Modulations is an

exploration of the opportunities

and capabilities of concrete

extrusion 3D printing (CE3DP).

This method uses a robotic

arm to extrude concrete onto a

surface in a programmed motion.

The motion is choreographed

by a coding process and can

become as simple or complex

as you would like.

This avenue of concrete

production takes advantage

of the many opportunities

of traditional concrete- it’s

strength, universality, and

malleability. Additionally, it

removes some of the hurdles

that face form-based concrete

construction such as the need

for formwork and the ability to

produce detailed inner cores.

Thanks to these advantages,

CE3DP can produce certain

concrete forms much quicker,

more precisely, and with less

waste than traditional formbased

methods.

To achieve these forms, the

ETH Zurich utilized a code

fully programmed by Python.

This utilized a trigonometric

function engine to establish

a series of point in space

based on their design inputs.

Variables such as wavelength

and amplitude allowed the

team to parametrically alter

the three dimensional form.

The robot would not be able

to move based on a collection

of Cartesian points, instead it

needed a series of path curves.

They utilized a mesh subdivision

engine, transforming the series

of points into one complex and

intricate mesh. To optimize

printability, the team sought

sinous and flowing shapes so

the robotic arm could easily

maintain speed and precision

on its path. A wave motion path

helped achieve this flowing

form- both in 3D and in plan.

With these full scale forms

reaching heights of two meters,

the team quickly identified the

need for internal structure.

Rather than the traditional

material of rebar, this design

needed the robot to also

produce the internal structure.

With the robot being unable

to follow sharp angled paths,

the team developed organic

internal routes that flowed from

the external form, never forcing

the robotic arm to slow down

or move abruptly. Additionally,

the team expererimented with a

variety of print speeds and layer

heights. These changes would

affect the density of concrete per

layer, the cleanliness of each

path, and the density of material.

The most complex design was

printed at 200 m/s with a layer

height of 6 mm. Variables such

as these were able to be tailored

to each of the different team’s

designs-depending on their

scale, complexity, and design

qualities.

Segmented Columns Using Trigonometric Fu

Contrary to traditional 3D printing approaches

the input of a predetermined form which is late

tally sliced, the trigonometric function displace

that are part of the print-path design itself. In th

CE3DP, which has relatively large layer heights

of 4-12 mm, horizontal slicing would predefine

sentation of the design in steps of layers. On the

by varying layer height, vertical geometric cont

design space can be improved. Because the rob

move precisely along a designed curve, the pot

manipulation and expression can be explored. T

coupling of design features with fabrication pa

along a print-path makes this design approach

able for CE3DP.

The experiment in Figure 11 illustrates layer he

tion at constant material flow-rate and variable

(speed of robot movement). It is shown that prin

DSN S 546 Spring 2021 | 131

must be adjusted to local layer height (Figure 1

If print-speed is too high, insufficient material i

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