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Research Papers

Harnessing Seeded Geometric Imperfection to Design Cylindrical Shells With Tunable Elastic Postbuckling Behavior

[+] Author and Article Information
Nan Hu

Thayer School of Engineering,
Dartmouth College,
14 Engineering Drive, MacLean 127,
Hanover, NH 03755
e-mail: nan.hu@dartmouth.edu

Rigoberto Burgueño

Mem. ASME
Department of Civil and Environmental Engineering,
Department of Mechanical Engineering,
428 S. Shaw Lane, Room 3574,
Engineering Building,
East Lansing, MI 48824-1226
e-mail: burgueno@msu.edu

1Corresponding author.

Manuscript received August 24, 2016; final manuscript received September 23, 2016; published online October 13, 2016. Assoc. Editor: Kyung-Suk Kim.

J. Appl. Mech 84(1), 011003 (Oct 13, 2016) (7 pages) Paper No: JAM-16-1419; doi: 10.1115/1.4034827 History: Received August 24, 2016; Revised September 23, 2016

Geometric imperfection, known as a detrimental effect on the buckling load of cylindrical shells, has a new role under the emerging trend of using buckling for smart purposes. Eigenshape-based geometries were designed on the shell surface with the aim of tailoring the postbuckling response. Fourteen seeded geometric imperfection (SGI) cylinders were fabricated using polymer-based 3D printing, and their postbuckling responses were numerically simulated with a general-purpose finite element program. Results on the prototyped SGI cylinders showed a tunable elastic postbuckling response in terms of initial and final stiffness, the maximum load drop from mode switching, and the number of snap-buckling events. A response contour and discrete map is presented to show how the number of waves in the axial and circumferential directions in the seeded eigenshape imperfection can control the elastic postbuckling response. SGI cylinders provide diverse design opportunities for controllable unstable response and are good candidates for use in smart and adaptive materials/structures.

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Figures

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Fig. 1

Motivation behind cylindrical shells with seeded geometric imperfections

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Fig. 2

Koiter circle for the baseline cylindrical shell and selected mode shapes (circled numbers) as seeded geometry for experimentally evaluated SGI designs

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Fig. 3

Three-dimensional printed SGI cylinders for experimental evaluation

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Fig. 4

Key response features in the elastic postbuckling behavior of an axially compressed SGI cylindrical shell

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Fig. 5

Experimental postbuckling response contours of SGI cylinders: (a) initial stiffness (Ki), (b) maximum single load drop (ΔPmax), (c) enclosed area (A), and (d) number of mode transitions (nt). (Note: cross marks indicate the 14 tested SGI designs).

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Fig. 6

Response domain of an SGI design with varied amplitude

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Fig. 7

Experimental and numerically simulated postbuckling responses of sample SGI cylinders

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Fig. 8

Numerical response contours: (a) initial stiffness (Ki) and (b) number of mode transitions (nt)

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Fig. 9

Numerical discrete map of postbuckling responses type with different seeding amplitudes: (a) 1 mm and (b) 2.5 mm

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