Stable Response of Axially Compressed Prismatic Polygonal Shells

Abstract We analyze the mechanical performance of a new class of shells, termed polygonal shells, using finite element (FE) analysis for a series of shell R/t ratios. Unlike cylindrical shells, the axial compressive response of polygonal shells is stable well into the postbuckled regime. We perform imperfection sensitivity studies by seeding polygonal and circular cylindrical shells with varying imperfection amplitudes. Preliminary results show that the response of polygonal shells, under axial compression, is controllable. These shells perform better than cylindrical shells with respect to imperfection sensitivity across a range of R/t ratios. Preliminary laboratory experiments using 3D-printed shells have validated the results from our computational predictions. The deformation patterns resulting from axial compressive loading experiments align closely with the computational predictions. The results show the influence of R/t and the number of edges η of the polygonal shell on the compressive response.

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Publication Details

Journal
Journal of Applied Mechanics
Published
2025-06-18
DOI
https://doi.org/10.1115/1.4068971
Citations
1
Primary Topic
Structural Analysis and Optimization
Type
article
Field-Weighted Citation Impact
0.95
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article

Stable Response of Axially Compressed Prismatic Polygonal Shells

Anthony M. Waas, Avinkrishnan Ambika Vijayachandran, Royan J. D’Mello, Vishwa Mohan Tiwari et al.
1 citations
Journal of Applied Mechanics
Structural Analysis and Optimization
0.95
article

Stable Response of Axially Compressed Prismatic Polygonal Shells

Anthony M. Waas, Avinkrishnan Ambika Vijayachandran, Royan J. D’Mello, Vishwa Mohan Tiwari, C.W. Hunter
article en
1 citations

Abstract

Abstract We analyze the mechanical performance of a new class of shells, termed polygonal shells, using finite element (FE) analysis for a series of shell R/t ratios. Unlike cylindrical shells, the axial compressive response of polygonal shells is stable well into the postbuckled regime. We perform imperfection sensitivity studies by seeding polygonal and circular cylindrical shells with varying imperfection amplitudes. Preliminary results show that the response of polygonal shells, under axial compression, is controllable. These shells perform better than cylindrical shells with respect to imperfection sensitivity across a range of R/t ratios. Preliminary laboratory experiments using 3D-printed shells have validated the results from our computational predictions. The deformation patterns resulting from axial compressive loading experiments align closely with the computational predictions. The results show the influence of R/t and the number of edges η of the polygonal shell on the compressive response.

Journal of Applied MechanicsVol. 92(11)
Oakland University (US), FX Palo Alto Laboratory (US), Artelia (France) (FR), Ann Arbor Center for Independent Living (US), American Institute of Aeronautics and Astronautics (US), Arizona State University (US)
Openalex Percentile: Top 25%
Structural Analysis and Optimization
0.95
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Stable Response of Axially Compressed Prismatic Polygonal Shells — Anthony M. Waas, Avinkrishnan Ambika Vijayachandran, et al. · Journal of Applied Mechanics (2025) | TGRS Research Map | TGRS