On the synthesis of periodic linkages with a specific constant Poisson’s ratio

F. G.J. Broeren; J. L. Herder; V. van der Wijk

doi:10.1007/978-3-030-20131-9_25

On the synthesis of periodic linkages with a specific constant Poisson’s ratio

F. G.J. Broeren^*, J. L. Herder, V. van der Wijk

^*Corresponding author for this work

Mechatronic Systems Design

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

1 Citation (Scopus)

Abstract

Poisson’s ratio is one of the most studied material proper- ties that can be designed in mechanical metamaterials. However, in most studies so far, Poisson’s ratio is not constant for larger compressions. Only for structures in which ν = −1, structures with a constant Poisson’s ratio have been demonstrated. This paper studies the design of planar mechanical metamaterials with a constant Poisson’s ratio based on the pantograph, inversor, straight-line and parabolograph mechanisms. Using these classical mechanisms as building blocks, periodic mechanisms with 0 and 1 are proposed.

Original language	English
Title of host publication	Advances in Mechanisms and Machine Science
Subtitle of host publication	Proceedings of the 15th IFToMM World Congress on Mechanism and Machine Science
Editors	Tadeusz Uhl
Place of Publication	Cham, Switzerland
Publisher	Springer Science+Business Media
Pages	249-257
ISBN (Electronic)	978-3-030-20131-9
ISBN (Print)	978-3-030-20130-2
DOIs	https://doi.org/10.1007/978-3-030-20131-9_25
Publication status	Published - 2019
Event	15th IFToMM World Congress on Mechanism and Machine Science - Krakow, Poland Duration: 30 Jun 2019 → 4 Jul 2019 Conference number: 15th

Publication series

Name	Mechanisms and Machine Science
Volume	73
ISSN (Print)	2211-0984
ISSN (Electronic)	2211-0992

Conference

Conference	15th IFToMM World Congress on Mechanism and Machine Science
Abbreviated title	IFToMM
Country/Territory	Poland
City	Krakow
Period	30/06/19 → 4/07/19

Keywords

auxetics
inversor
mechanical metamaterials
pantograph
parabolograph
periodic linkages
Poisson’s ratio
straight-line mechanism

Access to Document

10.1007/978-3-030-20131-9_25

Cite this

Broeren, F. G. J., Herder, J. L., & van der Wijk, V. (2019). On the synthesis of periodic linkages with a specific constant Poisson’s ratio. In T. Uhl (Ed.), Advances in Mechanisms and Machine Science: Proceedings of the 15th IFToMM World Congress on Mechanism and Machine Science (pp. 249-257). (Mechanisms and Machine Science; Vol. 73). Springer Science+Business Media. https://doi.org/10.1007/978-3-030-20131-9_25

Broeren, F. G.J. ; Herder, J. L. ; van der Wijk, V. / On the synthesis of periodic linkages with a specific constant Poisson’s ratio. Advances in Mechanisms and Machine Science: Proceedings of the 15th IFToMM World Congress on Mechanism and Machine Science. editor / Tadeusz Uhl. Cham, Switzerland : Springer Science+Business Media, 2019. pp. 249-257 (Mechanisms and Machine Science).

@inproceedings{7067cdc36f484dddb9fd0a4399d36337,

title = "On the synthesis of periodic linkages with a specific constant Poisson{\textquoteright}s ratio",

abstract = "Poisson{\textquoteright}s ratio is one of the most studied material proper- ties that can be designed in mechanical metamaterials. However, in most studies so far, Poisson{\textquoteright}s ratio is not constant for larger compressions. Only for structures in which ν = −1, structures with a constant Poisson{\textquoteright}s ratio have been demonstrated. This paper studies the design of planar mechanical metamaterials with a constant Poisson{\textquoteright}s ratio based on the pantograph, inversor, straight-line and parabolograph mechanisms. Using these classical mechanisms as building blocks, periodic mechanisms with 0 and 1 are proposed.",

keywords = "auxetics, inversor, mechanical metamaterials, pantograph, parabolograph, periodic linkages, Poisson{\textquoteright}s ratio, straight-line mechanism",

author = "Broeren, {F. G.J.} and Herder, {J. L.} and {van der Wijk}, V.",

year = "2019",

doi = "10.1007/978-3-030-20131-9_25",

language = "English",

isbn = "978-3-030-20130-2 ",

series = "Mechanisms and Machine Science",

publisher = "Springer Science+Business Media",

pages = "249--257",

editor = "Tadeusz Uhl",

booktitle = "Advances in Mechanisms and Machine Science",

note = "15th IFToMM World Congress on Mechanism and Machine Science<br/>, IFToMM ; Conference date: 30-06-2019 Through 04-07-2019",

}

Broeren, FGJ , Herder, JL & van der Wijk, V 2019, On the synthesis of periodic linkages with a specific constant Poisson’s ratio. in T Uhl (ed.), Advances in Mechanisms and Machine Science: Proceedings of the 15th IFToMM World Congress on Mechanism and Machine Science. Mechanisms and Machine Science, vol. 73, Springer Science+Business Media, Cham, Switzerland, pp. 249-257, 15th IFToMM World Congress on Mechanism and Machine Science
, Krakow, Poland, 30/06/19. https://doi.org/10.1007/978-3-030-20131-9_25

On the synthesis of periodic linkages with a specific constant Poisson’s ratio. / Broeren, F. G.J.; Herder, J. L.; van der Wijk, V.

Advances in Mechanisms and Machine Science: Proceedings of the 15th IFToMM World Congress on Mechanism and Machine Science. ed. / Tadeusz Uhl. Cham, Switzerland : Springer Science+Business Media, 2019. p. 249-257 (Mechanisms and Machine Science; Vol. 73).

Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review

TY - GEN

T1 - On the synthesis of periodic linkages with a specific constant Poisson’s ratio

AU - Broeren, F. G.J.

AU - Herder, J. L.

AU - van der Wijk, V.

N1 - Conference code: 15th

PY - 2019

Y1 - 2019

N2 - Poisson’s ratio is one of the most studied material proper- ties that can be designed in mechanical metamaterials. However, in most studies so far, Poisson’s ratio is not constant for larger compressions. Only for structures in which ν = −1, structures with a constant Poisson’s ratio have been demonstrated. This paper studies the design of planar mechanical metamaterials with a constant Poisson’s ratio based on the pantograph, inversor, straight-line and parabolograph mechanisms. Using these classical mechanisms as building blocks, periodic mechanisms with 0 and 1 are proposed.

AB - Poisson’s ratio is one of the most studied material proper- ties that can be designed in mechanical metamaterials. However, in most studies so far, Poisson’s ratio is not constant for larger compressions. Only for structures in which ν = −1, structures with a constant Poisson’s ratio have been demonstrated. This paper studies the design of planar mechanical metamaterials with a constant Poisson’s ratio based on the pantograph, inversor, straight-line and parabolograph mechanisms. Using these classical mechanisms as building blocks, periodic mechanisms with 0 and 1 are proposed.

KW - auxetics

KW - inversor

KW - mechanical metamaterials

KW - pantograph

KW - parabolograph

KW - periodic linkages

KW - Poisson’s ratio

KW - straight-line mechanism

UR - http://www.scopus.com/inward/record.url?scp=85067558848&partnerID=8YFLogxK

U2 - 10.1007/978-3-030-20131-9_25

DO - 10.1007/978-3-030-20131-9_25

M3 - Conference contribution

SN - 978-3-030-20130-2

T3 - Mechanisms and Machine Science

SP - 249

EP - 257

BT - Advances in Mechanisms and Machine Science

A2 - Uhl, Tadeusz

PB - Springer Science+Business Media

CY - Cham, Switzerland

T2 - 15th IFToMM World Congress on Mechanism and Machine Science<br/>

Y2 - 30 June 2019 through 4 July 2019

ER -

Broeren FGJ , Herder JL , van der Wijk V. On the synthesis of periodic linkages with a specific constant Poisson’s ratio. In Uhl T, editor, Advances in Mechanisms and Machine Science: Proceedings of the 15th IFToMM World Congress on Mechanism and Machine Science. Cham, Switzerland: Springer Science+Business Media. 2019. p. 249-257. (Mechanisms and Machine Science). https://doi.org/10.1007/978-3-030-20131-9_25

On the synthesis of periodic linkages with a specific constant Poisson’s ratio

Abstract

Publication series

Conference

Keywords

Access to Document

Other files and links

Fingerprint

Kinematic Methods for the Rational Design of Mechanical Metamaterials

Cite this