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Zero Modes of Origami-Inspired Trusses /

Lawless, Paul,

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Zero Modes of Origami-Inspired Trusses /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Zero Modes of Origami-Inspired Trusses // Paul Lawless.
作者:	Lawless, Paul,
面頁冊數:	1 electronic resource (41 pages)
附註:	Source: Masters Abstracts International, Volume: 86-03.
Contained By:	Masters Abstracts International86-03.
標題:	Mechanical engineering. -
電子資源:	https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31148349
ISBN:	9798384104957

Zero Modes of Origami-Inspired Trusses /
Lawless, Paul,

Zero Modes of Origami-Inspired Trusses /Paul Lawless. - 1 electronic resource (41 pages)

Source: Masters Abstracts International, Volume: 86-03.

The subject of this paper is to use methods from linear algebra to study the zero modes, or folding modes, of periodic structures or mechanisms. First, we introduce a first-order analytical method to find the zero modes of one cell in these patterns. By adding multipliers, this gives the trend throughout the pattern. We apply this method to a case study of two planar mechanisms: a simple essentially 1D lattice from literature, and a slightly more complicated 2D case. 3D prints of this second case matched the analytically predicted behavior, validating this method. With these insights, we turned to the fully3D case of the Yoshimura origami pattern and related patterns, by considering the trusses formed by the pattern. For this case, we primarily applied numerical methods. This allowed easy visualization of its modes and modification of the pattern.The Yoshimura pattern constructed from n-sided polygons was found to have 2(n − 3) zero modes(in addition to the rigid-body transformations), regardless of the number of layers, with both methods. For n = 4, each of the two modes were entirely localized to either end of the structure. n > 4 hadmodes localized towards either end, but not completely so. Modes remained symmetric, occurring on both ends, despite various modifications made to the n = 4 pattern. The twist angle had the largest impact on these modes at critical angles. Twisting opposite of the Yoshimura pattern gave the Kresling pattern, which had more than two bulk modes. Zero twist gave a cylindrical pattern with one linear and one constant bulk mode. In between, modes were somewhat localized, approaching the full localization of the Yoshimura case when approaching the Yoshimura twist angle.

English

ISBN: 9798384104957Subjects--Topical Terms:

649730
Mechanical engineering.
Subjects--Index Terms:

Metamaterials

Zero Modes of Origami-Inspired Trusses /
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020 $a 9798384104957
035 $a (MiAaPQD)AAI31148349
035 $a AAI31148349
040 $a MiAaPQD $b eng $c MiAaPQD $e rda
100 1 $a Lawless, Paul, $e author. $3 3830200
245 1 0 $a Zero Modes of Origami-Inspired Trusses / $c Paul Lawless.
264 1 $a Ann Arbor : $b ProQuest Dissertations & Theses, $c 2024
300 $a 1 electronic resource (41 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Masters Abstracts International, Volume: 86-03.
500 $a Advisors: Nassar, Hussein Committee members: Feng, Frank; Giraldo-Londoño, Oliver.
502 $b M.S. $c University of Missouri - Columbia $d 2024.
520 $a The subject of this paper is to use methods from linear algebra to study the zero modes, or folding modes, of periodic structures or mechanisms. First, we introduce a first-order analytical method to find the zero modes of one cell in these patterns. By adding multipliers, this gives the trend throughout the pattern. We apply this method to a case study of two planar mechanisms: a simple essentially 1D lattice from literature, and a slightly more complicated 2D case. 3D prints of this second case matched the analytically predicted behavior, validating this method. With these insights, we turned to the fully3D case of the Yoshimura origami pattern and related patterns, by considering the trusses formed by the pattern. For this case, we primarily applied numerical methods. This allowed easy visualization of its modes and modification of the pattern.The Yoshimura pattern constructed from n-sided polygons was found to have 2(n − 3) zero modes(in addition to the rigid-body transformations), regardless of the number of layers, with both methods. For n = 4, each of the two modes were entirely localized to either end of the structure. n > 4 hadmodes localized towards either end, but not completely so. Modes remained symmetric, occurring on both ends, despite various modifications made to the n = 4 pattern. The twist angle had the largest impact on these modes at critical angles. Twisting opposite of the Yoshimura pattern gave the Kresling pattern, which had more than two bulk modes. Zero twist gave a cylindrical pattern with one linear and one constant bulk mode. In between, modes were somewhat localized, approaching the full localization of the Yoshimura case when approaching the Yoshimura twist angle.
546 $a English
590 $a School code: 0133
650 4 $a Mechanical engineering. $3 649730
650 4 $a Mechanics. $3 525881
653 $a Metamaterials
653 $a Origami
653 $a Yoshimura pattern
653 $a Zero modes
690 $a 0548
690 $a 0346
690 $a 0543
710 2 $a University of Missouri - Columbia. $b Mechanical and Aerospace Engineering. $e degree granting institution. $3 3830201
720 1 $a Nassar, Hussein $e degree supervisor.
773 0 $t Masters Abstracts International $g 86-03.
790 $a 0133
791 $a M.S.
792 $a 2024
856 4 0 $u https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=31148349