rational design of econfigurable prismatic architected ... · snapology modular origami using...

RATIONAL DESIGN OF RECONFIGURABLE PRISMATIC ARCHITECTED MATERIALS

Johannes T. B. (Bas) Overvelde

4D Printing & Meta Materials Conference 01/02/2017

Stoop et al. (2015) Nat. MatMullin et al. (2007) PRLMeza et al. (2014) Science

2

Increased toughness Negative Poisson’s ratio Tunable drag coefficient

Soft structuresCompliance as a paradigm for new and unusual functionality

Stoop et al. (2015) Nat. MatMullin et al. (2007) PRLMeza et al. (2014) Science

2

Increased toughness Negative Poisson’s ratio Tunable drag coefficient

Soft structuresCompliance as a paradigm for new and unusual functionality

Stoop et al. (2015) Nat. MatMullin et al. (2007) PRLMeza et al. (2014) Science

2

Increased toughness Negative Poisson’s ratio Tunable drag coefficient

Soft structuresCompliance as a paradigm for new and unusual functionality

Stoop et al. (2015) Nat. MatMullin et al. (2007) PRLMeza et al. (2014) Science

2

Increased toughness Negative Poisson’s ratio Tunable drag coefficient

Soft structuresCompliance as a paradigm for new and unusual functionality

Stoop et al. (2015) Nat. MatMullin et al. (2007) PRLMeza et al. (2014) Science

Tune functionality through changes in geometry

2

Increased toughness Negative Poisson’s ratio Tunable drag coefficient{ {passive active

geometry dictates function

Soft structuresCompliance as a paradigm for new and unusual functionality

v

Negative Poisson’s ratio

Soft structures with internal mechanismsSimilarities between origami

3

v

Negative Poisson’s ratio

Soft structures with internal mechanismsSimilarities between origami

3

Similar designs can be found in origami

4

Origami-inspired metamaterialsMiura-ori pattern

4

Schenk and Guest (2013) PNAS

4

Origami-inspired metamaterialsMiura-ori pattern

4

Schenk and Guest (2013) PNAS

4

Origami-inspired metamaterialsMiura-ori pattern

4

Limited in the degrees of freedom (or # soft modes) and in ways to tesselate

Schenk and Guest (2013) PNAS

4

Origami-inspired metamaterialsMiura-ori pattern

4

Limited in the degrees of freedom (or # soft modes) and in ways to tesselate

Schenk and Guest (2013) PNAS

How can we generalise the design of reconfigurable metamaterials?

SnapologyModular origami using ribbons to create convex extruded polyhedra

Overvelde, de Jong, Shevchenko, Becerra, Whitesides, Weaver, Hoberman, Bertoldi (2016) Nature Communications5

SnapologyModular origami using ribbons to create convex extruded polyhedra

Overvelde, de Jong, Shevchenko, Becerra, Whitesides, Weaver, Hoberman, Bertoldi (2016) Nature Communications5

Template to design extruded geometries Deformation modes

Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature6

Template to design extruded geometries Deformation modes

Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature6

Numerical mode analysissmall rotationsrigid facesedges modeled as torsional springs

K

Template to design extruded geometries Deformation modes

Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature6

Numerical mode analysissmall rotationsrigid facesedges modeled as torsional springs

K

Strategy to design reconfigurable structuresTemplate based on space-filling assemblies of convex polyhedra

7Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

Strategy to design reconfigurable structuresTemplate based on space-filling assemblies of convex polyhedra

7Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

Strategy to design reconfigurable structuresTemplate based on space-filling assemblies of convex polyhedra

8

dpj,b � dpj,a +Rj �R0j = 2Ljnj

Extrusion direction dictated by a set of constraints

Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

Strategy to design reconfigurable structuresReconfigurability of thin-walled structures

9Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

Strategy to design reconfigurable structuresReconfigurability of thin-walled structures

9Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

Strategy to design reconfigurable structuresReconfigurability of thin-walled structures

9Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

numerical mode analysissmall rotationsrigid facesedges modeled as torsional springsperiodic boundary conditions

Fabrication of prototypesBuild modules that can easily be assembled

10Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

Fabrication of prototypesBuild modules that can easily be assembled

10Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

Reconfigurability of thin-walled structuresExperimental validation

numerical mode analysissmall rotationsrigid facesedges modeled as torsional springsperiodic boundary conditions

11Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

Reconfigurability of thin-walled structuresExperimental validation

11Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

Many possible templates availableReconfigurability of designs based on uniform polyhedra assemblies

12

ndof

= 0 (rigid) ndof

= 1 ndof

= 2 ndof

= 3

Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

Many possible templates availableReconfigurability of designs based on uniform polyhedra assemblies

12

ndof

= 0 (rigid) ndof

= 1 ndof

= 2 ndof

= 3

Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

Properties of metamaterialStiffness of designs based on uniform polyhedra assemblies

13Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

Exploring the possible design spaceAdapting the unit cell

14Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

Reconfigure along a single degree of freedom

Exploring the possible design spaceAdapting the unit cell

14Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

Reconfigure along a single degree of freedom

Exploring the possible design spacePossible macroscopic shape changes

15Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

Exploring the possible design spacePossible macroscopic shape changes

15Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature

only microscopic changes in shape

only macroscopic changes in one direction macroscopic changes in two directions

From prototype to actual materialArbitrarily shaped architectures

Overvelde, de Jong, Shevchenko, Becerra, Whitesides, Weaver, Hoberman, Bertoldi (2016) Nature Communications 16

unit cell

chair

tube

dome

From prototype to actual materialArbitrarily shaped architectures

Overvelde, de Jong, Shevchenko, Becerra, Whitesides, Weaver, Hoberman, Bertoldi (2016) Nature Communications 16

unit cell

chair

tube

dome

17From prototype to actual materialFabrication from single material with different thickness

Overvelde, de Jong, Shevchenko, Becerra, Whitesides, Weaver, Hoberman, Bertoldi (2016) Nature Communications 17

17From prototype to actual materialFabrication from single material with different thickness

Overvelde, de Jong, Shevchenko, Becerra, Whitesides, Weaver, Hoberman, Bertoldi (2016) Nature Communications 17

K

�

�

U =K

2

3X

i=1

h4�2

i + 4 (⇡ � �i)2 + 2�2

i + 2 (⇡ � �i)2i

Overvelde, de Jong, Shevchenko, Becerra, Whitesides, Weaver, Hoberman, Bertoldi (2016) Nature Communications 18

From prototype to actual materialDistributed actuation to trigger shape changes

K

�

�

U =K

2

3X

i=1

h4�2

i + 4 (⇡ � �i)2 + 2�2

i + 2 (⇡ � �i)2i

Overvelde, de Jong, Shevchenko, Becerra, Whitesides, Weaver, Hoberman, Bertoldi (2016) Nature Communications 18

From prototype to actual materialDistributed actuation to trigger shape changes

From prototype to actual material3D printing using multiple materials

Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature 19

From prototype to actual material3D printing using multiple materials

Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature 19

From prototype to actual material3D printing using multiple materials

Bring distributed actuation and 3d printing togetherScale the structure down further

Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature 19

From prototype to actual material4D printing?

Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature 20Overvelde, de Jong, Shevchenko, Becerra, Whitesides, Weaver, Hoberman, Bertoldi (2016) Nature Communications

Gladman et al. (2016) Nat. Mat.

Self assembly lab - MIT

From prototype to actual material4D printing?

Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature 20Overvelde, de Jong, Shevchenko, Becerra, Whitesides, Weaver, Hoberman, Bertoldi (2016) Nature Communications

Gladman et al. (2016) Nat. Mat.

Self assembly lab - MIT

BIG Thanks to…

Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature 21Overvelde, de Jong, Shevchenko, Becerra, Whitesides, Weaver, Hoberman, Bertoldi (2016) Nature Communications

Katia Bertoldi

James WeaverChuck Hoberman

BIG Thanks to…

Overvelde, Weaver, Hoberman, Bertoldi (2017) Nature 21Overvelde, de Jong, Shevchenko, Becerra, Whitesides, Weaver, Hoberman, Bertoldi (2016) Nature Communications

Katia Bertoldi

James WeaverChuck Hoberman