Design Method for Radially Retractable Single DOF Plate Structure Based on Regular 1-Uniform Regular Tessellations

This paper is concerned with a method of designing single degree of freedom (DOF) radially retractable planar plate structures (RRPS). The shape of the plates are desired to be regular polygons and they are not allowed to overlap in any configuration and no gaps in the closed configuration. The meth...

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Main Authors: Aylin Gazi, Koray Korkmaz
Format: Article
Language:English
Published: KARE Publishing 2015-11-01
Series:Megaron
Subjects:
Online Access:https://jag.journalagent.com/z4/download_fulltext.asp?pdir=megaron&un=MEGARON-53244
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author Aylin Gazi
Koray Korkmaz
author_facet Aylin Gazi
Koray Korkmaz
author_sort Aylin Gazi
collection DOAJ
description This paper is concerned with a method of designing single degree of freedom (DOF) radially retractable planar plate structures (RRPS). The shape of the plates are desired to be regular polygons and they are not allowed to overlap in any configuration and no gaps in the closed configuration. The method has been developed by translating geometric knowledge of tessellation in math. Therefore the paper firstly introduces the fundamentals of tessellations and then their classification based on polygon shape. After that it proposes a method of designing RRPS by using 1-uniform regular tessellations. The method identifies the plate types, shape and the way of connecting the plates with only revolute joints. Composed of various plates and joints, the proposed RRPSs based on 1- uniform regular tessellations are single DOF multi-loop planar mechanisms. Mobility analysis is made to prove the single DOF. After various mobility analysis, a theorem is developed to find the number of excessive plates. It is also introduced that there are passive joints besides excessive plates. When more plates and revolute joints are used in architectonic applications, the excessive plates and passive joints can be removed and reassembled if necessary for aesthetic or functional reasons. Finally, a single DOF radially retractable plate structure is proposed for a building façade as a sun shade to reduce the energy consumption.
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spelling doaj.art-feee945274ff4ed98a980c48f2457e572023-02-15T16:17:09ZengKARE PublishingMegaron1309-69152015-11-0110331733110.5505/MEGARON.2015.53244MEGARON-53244Design Method for Radially Retractable Single DOF Plate Structure Based on Regular 1-Uniform Regular TessellationsAylin Gazi0Koray Korkmaz1İzmir Intitute Of Technology, Department Of Architectureİzmir Intitute Of Technology, Department Of ArchitectureThis paper is concerned with a method of designing single degree of freedom (DOF) radially retractable planar plate structures (RRPS). The shape of the plates are desired to be regular polygons and they are not allowed to overlap in any configuration and no gaps in the closed configuration. The method has been developed by translating geometric knowledge of tessellation in math. Therefore the paper firstly introduces the fundamentals of tessellations and then their classification based on polygon shape. After that it proposes a method of designing RRPS by using 1-uniform regular tessellations. The method identifies the plate types, shape and the way of connecting the plates with only revolute joints. Composed of various plates and joints, the proposed RRPSs based on 1- uniform regular tessellations are single DOF multi-loop planar mechanisms. Mobility analysis is made to prove the single DOF. After various mobility analysis, a theorem is developed to find the number of excessive plates. It is also introduced that there are passive joints besides excessive plates. When more plates and revolute joints are used in architectonic applications, the excessive plates and passive joints can be removed and reassembled if necessary for aesthetic or functional reasons. Finally, a single DOF radially retractable plate structure is proposed for a building façade as a sun shade to reduce the energy consumption.https://jag.journalagent.com/z4/download_fulltext.asp?pdir=megaron&un=MEGARON-53244retractable structuretessellationdualmobilitymechanism
spellingShingle Aylin Gazi
Koray Korkmaz
Design Method for Radially Retractable Single DOF Plate Structure Based on Regular 1-Uniform Regular Tessellations
Megaron
retractable structure
tessellation
dual
mobility
mechanism
title Design Method for Radially Retractable Single DOF Plate Structure Based on Regular 1-Uniform Regular Tessellations
title_full Design Method for Radially Retractable Single DOF Plate Structure Based on Regular 1-Uniform Regular Tessellations
title_fullStr Design Method for Radially Retractable Single DOF Plate Structure Based on Regular 1-Uniform Regular Tessellations
title_full_unstemmed Design Method for Radially Retractable Single DOF Plate Structure Based on Regular 1-Uniform Regular Tessellations
title_short Design Method for Radially Retractable Single DOF Plate Structure Based on Regular 1-Uniform Regular Tessellations
title_sort design method for radially retractable single dof plate structure based on regular 1 uniform regular tessellations
topic retractable structure
tessellation
dual
mobility
mechanism
url https://jag.journalagent.com/z4/download_fulltext.asp?pdir=megaron&un=MEGARON-53244
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AT koraykorkmaz designmethodforradiallyretractablesingledofplatestructurebasedonregular1uniformregulartessellations