Introduction to 1.5-Layer Space Frames...1.5-Layer Space Frames Peishan Chen Dr.Eng., Hachinohe...
Transcript of Introduction to 1.5-Layer Space Frames...1.5-Layer Space Frames Peishan Chen Dr.Eng., Hachinohe...
![Page 1: Introduction to 1.5-Layer Space Frames...1.5-Layer Space Frames Peishan Chen Dr.Eng., Hachinohe Tech. Qingming Shanghe Tu 528cm in length , 24.8cm in width Northern Song Dynasty (A.D.](https://reader033.fdocuments.in/reader033/viewer/2022042622/5f8e98cbbbf922689c05c56b/html5/thumbnails/1.jpg)
Peishan Chen Dr.Eng., Hachinohe Tech.
Pei-Shan Chen Dr.Eng
Professor
Department of Civil Engineering
and Architecture
Graduate School
Hachinohe Institute of
Technology
Pei-Shan Chen Dr.Eng
Professor
Department of Civil Engineering
and Architecture
Graduate School
Hachinohe Institute of
Technology
Introduction to
1.5-Layer Space
Frames
![Page 2: Introduction to 1.5-Layer Space Frames...1.5-Layer Space Frames Peishan Chen Dr.Eng., Hachinohe Tech. Qingming Shanghe Tu 528cm in length , 24.8cm in width Northern Song Dynasty (A.D.](https://reader033.fdocuments.in/reader033/viewer/2022042622/5f8e98cbbbf922689c05c56b/html5/thumbnails/2.jpg)
Peishan Chen Dr.Eng., Hachinohe Tech.
Qingming Shanghe Tu
528cm in length , 24.8cm in width
Northern Song Dynasty (A.D. 960-1127)
![Page 3: Introduction to 1.5-Layer Space Frames...1.5-Layer Space Frames Peishan Chen Dr.Eng., Hachinohe Tech. Qingming Shanghe Tu 528cm in length , 24.8cm in width Northern Song Dynasty (A.D.](https://reader033.fdocuments.in/reader033/viewer/2022042622/5f8e98cbbbf922689c05c56b/html5/thumbnails/3.jpg)
Peishan Chen Dr.Eng., Hachinohe Tech.
The Study Model
Horizental member
Four members arch
Three members arch
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Peishan Chen Dr.Eng., Hachinohe Tech.
Elevation Section
Three members
arch
Horizontal
member
Four members arch
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Model of Hongiqao
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Peishan Chen Dr.Eng., Hachinohe Tech.
The Deformation
max
mm.max
230
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Peishan Chen Dr.Eng., Hachinohe Tech.
Distribution of Axial Forces
7.7kN
9.6kN
10.1kN
13.8kN
12.4kN
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Peishan Chen Dr.Eng., Hachinohe Tech.
Distribution of Moments
0.9kN・m
1.3kN・m
1.73kN・m1.28kN・m
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Peishan Chen Dr.Eng., Hachinohe Tech.
Model for Structural Analysis
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Peishan Chen Dr.Eng., Hachinohe Tech.
Application to Modern Structural DesignApplication to Modern Structural Design
A cylindrical frame with Lap-Beams
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Cone-Shaped Lap-Beam
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Peishan Chen Dr.Eng., Hachinohe Tech. Lap-Beam Dome (Zaru Dome)
Application to Modern Structural DesignApplication to Modern Structural Design
![Page 13: Introduction to 1.5-Layer Space Frames...1.5-Layer Space Frames Peishan Chen Dr.Eng., Hachinohe Tech. Qingming Shanghe Tu 528cm in length , 24.8cm in width Northern Song Dynasty (A.D.](https://reader033.fdocuments.in/reader033/viewer/2022042622/5f8e98cbbbf922689c05c56b/html5/thumbnails/13.jpg)
Peishan Chen Dr.Eng., Hachinohe Tech.
ザル・ドーム
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A Zaru Dome
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From Basket Meshing to Space Frame
Peishan Chen Dr.Eng., Hachinohe Tech.
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Definition of A 1.5-Layer Space Frame
A 1.5-Layer Space Frame is a
structure composed by bars pined
with two layers of joints, and there is
no member linking two or more joints
in one certain layer.
Peishan Chen Dr.Eng., Hachinohe Tech.
![Page 17: Introduction to 1.5-Layer Space Frames...1.5-Layer Space Frames Peishan Chen Dr.Eng., Hachinohe Tech. Qingming Shanghe Tu 528cm in length , 24.8cm in width Northern Song Dynasty (A.D.](https://reader033.fdocuments.in/reader033/viewer/2022042622/5f8e98cbbbf922689c05c56b/html5/thumbnails/17.jpg)
The key parts and basic units
(b) Lap- units
(c) Crossing- units(a) Key parts
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Lap- units
Peishan Chen Dr.Eng., Hachinohe Tech.
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Lap-units in Curved Shape
Peishan Chen Dr.Eng., Hachinohe Tech.
added members
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Crossing- units
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On the Stability
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On the Stability
Peishan Chen Dr.Eng., Hachinohe Tech.
A
B
A’
B’
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Kutzbach-Gruebler Equation
F=6(n-1)- 𝑘(6 − 𝑘)fk
Peishan Chen Dr.Eng., Hachinohe Tech.
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Demonstrate the stability by linear analysis
Rank(Stiffness Matrix) → DOF
Linear static solution → Stable structure
Analytical model => flat/planar frames
Peishan Chen Dr.Eng., Hachinohe Tech.
![Page 25: Introduction to 1.5-Layer Space Frames...1.5-Layer Space Frames Peishan Chen Dr.Eng., Hachinohe Tech. Qingming Shanghe Tu 528cm in length , 24.8cm in width Northern Song Dynasty (A.D.](https://reader033.fdocuments.in/reader033/viewer/2022042622/5f8e98cbbbf922689c05c56b/html5/thumbnails/25.jpg)
Demonstrate the stability by linear analysis
Lap- units
Crossing- units
Plane frame, Steel, Span: 33.0m, Vertical members H=1.5m, A = 100cm2 , P= 18kN
Max. Vertical disp.: 7.45cm
Peak member forces:
+332kN
-473kN
Max. Vertical disp.: 4.70cm
Peak member forces:
+255kN
-558kN
Peishan Chen Dr.Eng., Hachinohe Tech.
![Page 26: Introduction to 1.5-Layer Space Frames...1.5-Layer Space Frames Peishan Chen Dr.Eng., Hachinohe Tech. Qingming Shanghe Tu 528cm in length , 24.8cm in width Northern Song Dynasty (A.D.](https://reader033.fdocuments.in/reader033/viewer/2022042622/5f8e98cbbbf922689c05c56b/html5/thumbnails/26.jpg)
Versatility for Form Design
Planar frames
Peishan Chen Dr.Eng., Hachinohe Tech.
![Page 27: Introduction to 1.5-Layer Space Frames...1.5-Layer Space Frames Peishan Chen Dr.Eng., Hachinohe Tech. Qingming Shanghe Tu 528cm in length , 24.8cm in width Northern Song Dynasty (A.D.](https://reader033.fdocuments.in/reader033/viewer/2022042622/5f8e98cbbbf922689c05c56b/html5/thumbnails/27.jpg)
Versatility for Form Design
Peishan Chen Dr.Eng., Hachinohe Tech.
![Page 28: Introduction to 1.5-Layer Space Frames...1.5-Layer Space Frames Peishan Chen Dr.Eng., Hachinohe Tech. Qingming Shanghe Tu 528cm in length , 24.8cm in width Northern Song Dynasty (A.D.](https://reader033.fdocuments.in/reader033/viewer/2022042622/5f8e98cbbbf922689c05c56b/html5/thumbnails/28.jpg)
Hybrid Frame System
1.5-Layer Space Frames + Double Layer Space Frames
Peishan Chen Dr.Eng., Hachinohe Tech.
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Free Grid
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Random grids generated from Chinese window grilles
Peishan Chen Dr.Eng., Hachinohe Tech.
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• Single Layer
• Double Layers
multi-Layers
• 1.5-Layer
Peishan Chen Dr.Eng., Hachinohe Tech.
Classification of Space Frames
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Peishan Chen Dr.Eng., Hachinohe Tech.
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Conclusion
• The 1.5-Layer Space Frame is a new structure system
inspirited from the Hongqiao bridge painted in
Qingming Shanghe Tu.
• The system has versatility for form design.
• Further researches are required to demonstrate Its
mechanical characteristics and develop the structural
design methods.
• The author promotes to re-classify the types of space
frames into: 1) Double and multi-Layers, 2) 1.5-Layer,
and 3) Single Layer Space Frames.
Peishan Chen Dr.Eng., Hachinohe Tech.
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Peishan Chen, Hachinohe Tech.
Thank you !!
八户工业大学S-Art 研究会