Analysis, modelling and simulation of pop-up laminar structures
The study aims at establishing the topological and geometrical relationships that govern the design and construction of pop-up laminar structures. It also proposes a systematic, computer-aided approach for pop-up designs. A pop-up classification model and graph representation schemes are established...
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sg-ntu-dr.10356-424572023-03-11T17:48:58Z Analysis, modelling and simulation of pop-up laminar structures Mak, Kin Weng Lee Yong Tsui Tor Shu Beng School of Mechanical and Aerospace Engineering DRNTU::Engineering::Mathematics and analysis::Simulations DRNTU::Engineering::Mechanical engineering The study aims at establishing the topological and geometrical relationships that govern the design and construction of pop-up laminar structures. It also proposes a systematic, computer-aided approach for pop-up designs. A pop-up classification model and graph representation schemes are established after a comprehensive study on the available pop-up structures. The folding and development of pop-up structures are analyzed and represented as Mountain-Valley (MV) graphs. The MV graphs illustrate relationships between layers and creases and define the boundary regions of feasible pop-up design. Topological conditions for governing the composition of the structures are also established using vertex-edge graphs. In addition, conditions for flat folding are derived after investigation into the geometry of the structures. While the graphs enable simple representation of pop-up structures without the complexity of geometric designs, the mathematical relationships permit the validation of the structures’ composition and their ability to flat fold. A modular, object-oriented software prototype has been built, and it demonstrates the creation of pop-up designs using the graph structures and the mathematical relationships developed in this research. DOCTOR OF PHILOSOPHY (MAE) 2010-12-13T09:10:08Z 2010-12-13T09:10:08Z 2010 2010 Thesis Mak, K. W. (2010). Analysis, modelling and simulation of pop-up laminar structures. Doctoral thesis, Nanyang Technological University, Singapore. https://hdl.handle.net/10356/42457 10.32657/10356/42457 en 210 p. application/pdf |
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DRNTU::Engineering::Mathematics and analysis::Simulations DRNTU::Engineering::Mechanical engineering Mak, Kin Weng Analysis, modelling and simulation of pop-up laminar structures |
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The study aims at establishing the topological and geometrical relationships that govern the design and construction of pop-up laminar structures. It also proposes a systematic, computer-aided approach for pop-up designs. A pop-up classification model and graph representation schemes are established after a comprehensive study on the available pop-up structures. The folding and development of pop-up structures are analyzed and represented as Mountain-Valley (MV) graphs. The MV graphs illustrate relationships between layers and creases and define the boundary regions of feasible pop-up design. Topological conditions for governing the composition of the structures are also established using vertex-edge graphs. In addition, conditions for flat folding are derived after investigation into the geometry of the structures. While the graphs enable simple representation of pop-up structures without the complexity of geometric designs, the mathematical relationships permit the validation of the structures’ composition and their ability to flat fold. A modular, object-oriented software prototype has been built, and it demonstrates the creation of pop-up designs using the graph structures and the mathematical relationships developed in this research. |
author2 |
Lee Yong Tsui |
author_facet |
Lee Yong Tsui Mak, Kin Weng |
format |
Theses and Dissertations |
author |
Mak, Kin Weng |
author_sort |
Mak, Kin Weng |
title |
Analysis, modelling and simulation of pop-up laminar structures |
title_short |
Analysis, modelling and simulation of pop-up laminar structures |
title_full |
Analysis, modelling and simulation of pop-up laminar structures |
title_fullStr |
Analysis, modelling and simulation of pop-up laminar structures |
title_full_unstemmed |
Analysis, modelling and simulation of pop-up laminar structures |
title_sort |
analysis, modelling and simulation of pop-up laminar structures |
publishDate |
2010 |
url |
https://hdl.handle.net/10356/42457 |
_version_ |
1761781493766553600 |