Exploiting dynamic bifurcation in elastic ribbons for mode skipping and selection
In this paper, we systematically study the dynamic snap-through behavior of a pre-deformed elastic ribbon by combining theoretical analysis, discrete numerical simulations, and experiments. By rotating one of its clamped ends with controlled angular speed, we observe two snap-through transition p...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://hdl.handle.net/10356/178967 |
| _version_ | 1824456126074191872 |
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| author | Huang, Weicheng Yu, Tian Vella, Dominic Hsia, K. Jimmy Liu, Mingchao |
| author2 | School of Mechanical and Aerospace Engineering |
| author_facet | School of Mechanical and Aerospace Engineering Huang, Weicheng Yu, Tian Vella, Dominic Hsia, K. Jimmy Liu, Mingchao |
| author_sort | Huang, Weicheng |
| collection | NTU |
| description | In this paper, we systematically study the dynamic snap-through behavior of a
pre-deformed elastic ribbon by combining theoretical analysis, discrete
numerical simulations, and experiments. By rotating one of its clamped ends
with controlled angular speed, we observe two snap-through transition paths
among the multiple stable configurations of a ribbon in three-dimensional (3D)
space, which is different from the classical snap-through of a two-dimensional
(2D) bistable beam. Our theoretical model for the static bifurcation analysis
is derived based on the Kirchhoff equations, and dynamical numerical
simulations are conducted using the Discrete Elastic Rods (DER) algorithm. The
planar beam model is also employed for the asymptotic analysis of dynamic
snap-through behaviors. The results show that, since the snap-through processes
of both planar beams and 3D ribbons are governed by the saddle-node
bifurcation, the same scaling law for the delay applies. We further demonstrate
that, in elastic ribbons, by controlling the rotating velocity at the end,
distinct snap-through pathways can be realized by selectively skipping specific
modes, moreover, particular final modes can be strategically achieved. Through
a parametric study using numerical simulations, we construct general phase
diagrams for both mode skipping and selection of snapping ribbons. The work
serves as a benchmark for future investigations on dynamic snap-through of thin
elastic structures and provides guidelines for the novel design of intelligent
mechanical systems. |
| first_indexed | 2025-02-19T03:49:08Z |
| format | Journal Article |
| id | ntu-10356/178967 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2025-02-19T03:49:08Z |
| publishDate | 2024 |
| record_format | dspace |
| spelling | ntu-10356/1789672024-07-15T01:35:53Z Exploiting dynamic bifurcation in elastic ribbons for mode skipping and selection Huang, Weicheng Yu, Tian Vella, Dominic Hsia, K. Jimmy Liu, Mingchao School of Mechanical and Aerospace Engineering School of Chemistry, Chemical Engineering and Biotechnology Engineering Elastic ribbon Structural dynamics In this paper, we systematically study the dynamic snap-through behavior of a pre-deformed elastic ribbon by combining theoretical analysis, discrete numerical simulations, and experiments. By rotating one of its clamped ends with controlled angular speed, we observe two snap-through transition paths among the multiple stable configurations of a ribbon in three-dimensional (3D) space, which is different from the classical snap-through of a two-dimensional (2D) bistable beam. Our theoretical model for the static bifurcation analysis is derived based on the Kirchhoff equations, and dynamical numerical simulations are conducted using the Discrete Elastic Rods (DER) algorithm. The planar beam model is also employed for the asymptotic analysis of dynamic snap-through behaviors. The results show that, since the snap-through processes of both planar beams and 3D ribbons are governed by the saddle-node bifurcation, the same scaling law for the delay applies. We further demonstrate that, in elastic ribbons, by controlling the rotating velocity at the end, distinct snap-through pathways can be realized by selectively skipping specific modes, moreover, particular final modes can be strategically achieved. Through a parametric study using numerical simulations, we construct general phase diagrams for both mode skipping and selection of snapping ribbons. The work serves as a benchmark for future investigations on dynamic snap-through of thin elastic structures and provides guidelines for the novel design of intelligent mechanical systems. Ministry of Education (MOE) Nanyang Technological University W.H. acknowledges the start-up funding from Newcastle University, UK. K.J.H. acknowledges the financial support by the Ministry of Education, Singapore, under its MOE AcRF Tier 3 Award MOE-MOET32022-0002. M.L. acknowledges the Presidential Postdoctoral Fellowship from Nanyang Technological University, Singapore, and the start-up funding from the University of Birmingham, UK. 2024-07-15T01:35:53Z 2024-07-15T01:35:53Z 2024 Journal Article Huang, W., Yu, T., Vella, D., Hsia, K. J. & Liu, M. (2024). Exploiting dynamic bifurcation in elastic ribbons for mode skipping and selection. Journal of the Mechanics and Physics of Solids, 190, 105721-. https://dx.doi.org/10.1016/j.jmps.2024.105721 0022-5096 https://hdl.handle.net/10356/178967 10.1016/j.jmps.2024.105721 2-s2.0-85195854416 190 105721 en MOE-MOET32022-0002 Journal of the Mechanics and Physics of Solids © 2024 Elsevier Ltd. All rights are reserved, including those for text and data mining, AI training, and similar technologies. |
| spellingShingle | Engineering Elastic ribbon Structural dynamics Huang, Weicheng Yu, Tian Vella, Dominic Hsia, K. Jimmy Liu, Mingchao Exploiting dynamic bifurcation in elastic ribbons for mode skipping and selection |
| title | Exploiting dynamic bifurcation in elastic ribbons for mode skipping and selection |
| title_full | Exploiting dynamic bifurcation in elastic ribbons for mode skipping and selection |
| title_fullStr | Exploiting dynamic bifurcation in elastic ribbons for mode skipping and selection |
| title_full_unstemmed | Exploiting dynamic bifurcation in elastic ribbons for mode skipping and selection |
| title_short | Exploiting dynamic bifurcation in elastic ribbons for mode skipping and selection |
| title_sort | exploiting dynamic bifurcation in elastic ribbons for mode skipping and selection |
| topic | Engineering Elastic ribbon Structural dynamics |
| url | https://hdl.handle.net/10356/178967 |
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