Geometric and Kinematic Analysis of Deployable Doubly Ruled Hyperboloids

Feray Maden¹, Koray Korkmaz²
¹Department of Architecture, Ya�ar University, �zmir, Turkey
²Department of Architecture, �zmir Institute of Technology, �zmir, Turkey

This paper aims to develop deployable doubly ruled hyperboloid surfaces that can be used in architectural applications. First, the study systematically analyzes the geometric principles of hyperboloids generated by the ruled surface generation method and examines the morphology to generate different types of hyperboloids. Then, a method is introduced to construct deployable doubly ruled hyperboloid surfaces. The study demonstrates that deployment behavior of the hyperboloid is directly related to joint types used at the intersection points of the bars. Based on kinematic analysis, the study establishes that deployable hyperboloids with a single degree of freedom can be constructed only by revolute and spherical joints. Finally, various hyperboloids having different number of intersections are constructed according to the proposed joint types and their deployment capabilities are discussed.

Keywords: Deployable hyperboloids, doubly-ruled surfaces, kinetic structures, structural mechanisms.

Bi�im De�i�tirebilen �ift Y�nl� �izel Y�zey Hiperboloidlerin Geometrik ve Kinematik Analizi

Feray Maden¹, Koray Korkmaz²
¹Ya�ar �niversitesi, Mimarl�k B�l�m�, �zmir
²�zmir Y�ksek Teknoloji Enstit�s�, Mimarl�k B�l�m�, �zmir

Bu yaz�n�n amac�, mimari uygulamalarda kullan�labilecek bi�im de�i�tirebilen �ift y�nl� �izel hiperboloid y�zeyler geli�tirmektir. �lk olarak, �izel y�zey t�retme metoduyla �retilen hiperboloidlerin geometrik prensipleri sistematik olarak analiz edilmekte ve farkl� tiplerde t�retilmesi i�in morfolojisi incelenmektedir. Daha sonra, bi�im de�i�tirebilen hiperboloid y�zeylerin in�as� i�in geli�tirilen bir metot tan�t�lmaktad�r. �al��ma, hiperboloidlerin hareket davran��lar�n�n �ubuk elemanlar�n kesi�im noktalar�nda yer alan ba�lant� tipleriyle do�rudan ili�kili oldu�unu g�stermektedir. Tek serbestlik dereceli hiperboloidlerin yaln�zca d�ner ve k�resel mafsal kullanarak in�a edilebildi�i kinematik analizle kan�tlanmaktad�r. Son olarak, �nerilen mafsal tiplerine g�re farkl� say�da kesi�im say�s�na sahip hiperboloidler t�retilmekte ve bunlar�n hareket kabiliyetleri tart��lmaktad�r.

Anahtar Kelimeler: Bi�im de�i�tirebilen hiperboloidler, �ift-�izel y�zeyler, kinetik str�kt�rler, str�kt�rel mekanizmalar.

Feray Maden, Koray Korkmaz. Geometric and Kinematic Analysis of Deployable Doubly Ruled Hyperboloids. Megaron. 2017; 12(3): 343-354

Corresponding Author: Feray Maden, T�rkiye

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