Research Papers: Design Automation

A Novel Transformable Structural Mechanism for Doubly Ruled Hypar Surfaces

[+] Author and Article Information
Feray Maden

Department of Architecture,
Izmir Institute of Technology,
Izmir 35430, Turkey
e-mail: feraymaden@gmail.com

Engin Aktaş

Department of Civil Engineering,
Izmir Institute of Technology,
Izmir 35430, Turkey
e-mail: enginaktas@iyte.edu.tr

Koray Korkmaz

Department of Architecture,
Izmir Institute of Technology,
Izmir 35430, Turkey
e-mail: koraykorkmaz@iyte.edu.tr

1Corresponding author.

Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received May 22, 2014; final manuscript received November 17, 2014; published online January 9, 2015. Assoc. Editor: Matthew B. Parkinson.

J. Mech. Des 137(3), 031404 (Mar 01, 2015) (14 pages) Paper No: MD-14-1295; doi: 10.1115/1.4029231 History: Received May 22, 2014; Revised November 17, 2014; Online January 09, 2015

A novel structural mechanism (SM) that is capable of transforming itself into various hyperbolic paraboloid (hypar) geometries is introduced in this paper. Composed of straight bars and novel joint types, the SM is designed based on the ruled surface generation method. Thus, the paper first investigates the geometrical properties and morphology of the hypar surface. Second, it constructs the SM and discusses its transformation capability with respect to its kinematic properties. Then, it presents a parametric model not only to analyze the geometry and possible configurations of the SM but also to prepare a model for the structural analysis. Finally, a transformable shelter structure is proposed as an architectural application of the SM and its feasibility is tested based on the structural analysis conducted in different configurations of the structure. According to the results of the structural analysis, the strength, and the stiffness of the structure are discussed in detail.

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Fig. 1

(a) Hyperboloid composed of SLEs; (b) hyperboloid composed of straight bars; (c) hypar composed of SLEs; and (d) hypar composed of straight bars

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Fig. 2

Generation of doubly ruled hypar surface

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Fig. 3

(a) y = 0 plane; (b) y = b/n plane; (c) x = 0 plane; and (d) x = b/n plane

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Fig. 5

Transformation process of 2DOF LM

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Fig. 6

Transformation process of 2DOF SM

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Fig. 7

(a) New joint type; (b) 3R joint; (c) C2R joint; and (d) 2CR joint

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Fig. 9

Transformation process of 2DOF SM composed of three SGs

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Fig. 10

Parametric model of the hypar generated in Grasshopper

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Fig. 11

Hypar surface generated by increasing the number of SG

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Fig. 12

Hypar surface generated by changing the deployment angle

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Fig. 13

Proposed transformable shelter structure

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Fig. 14

Configuration 1 (β1 = β2 = 0): distribution of von Misses stresses

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Fig. 15

Configuration 2 (β1 = β2 = 30): distribution of von Misses stresses

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Fig. 16

Configuration 3 (β1 = β2 = 45): distribution of von Misses stresses

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Fig. 17

Configuration 4 (β1 = β2 = −30): distribution of von Misses stresses

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Fig. 18

Configuration 5 (β1 = β2 = −45): distribution of von Misses stresses




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