Exploration of Scissor and Origami Mechanism

DEPLOYABLE SYSTEMS SCISSOR MECHANISM VRUTI SHAH

ORIGAMI MECHANISM RAKSHITA MOHNOT

Straight Scissor Type a- Planar symmetrical Unit Two equal straight members are connected through midpoint to make a module and repeated through the end points in linear direction.

0

x/2 a

x/2

b

Length of the member a = b = 145mm 0 = 120 degree

x=134 145

Fig.1(a) Individual member

Fig. 1(b) Module

60°

y

58

116

x=134

120°

y=11

x/2

y

x/4

Fig. 2 (b) Intermediate- rectilinear progression

y

Fig.2 (a) Closed position

x/2

x

x

x/2

Fig. 2 (c) Open position

Observation 1.The entire system deploys completely along the central axis passing through the mid point of each module.

2. There is decrease in the length and increase in width of the system as it opens up.

Fig. 3 (a) Closed 2 | DEPLOYABLE SYSTEM

Fig.3 (b) Intermediate position in model

Straight Scissor Type a- Planar Asymmetrical Unit

67

Two equal straight members are connected through an offcentric point to make a module and repeated through the end points in linear direction.

34

101 112 Fig. 4 (a) Individual member

Length of the member a = b = 112 mm 0 = 120 degree

Fig. 4 (b) Module

R

17

7

66 R8 9

99 11

Fig. 5 (a) Closed position Fig. 5 (b) Intermediate- radial progression

Observation 1. The pivot point of each of the module in the system is offcentered. This leads to a radial progression and forms a closed shape in this case.

2. An increase in the distance of the middle pivot point from the bottom pivot point will result in larger curvature.

Open

Fig. 6 (a) Closed position in model

Fig. 6 (b) Open position Vruti shah UI8017 Rakshita Mohnot UI6016 | 3

Straight Scissor Type a- Planar Symmetrical System The modules are a combination of planar members connected through right-angled connectors on all four sides. The mechanism is similar to that of a scissor lift.

x/2

x/2 x=134 145

Fig. 7 Closed position

Fig. 8 (a) Closed position

Fig. 8 (b) Closed position

4 | DEPLOYABLE SYSTEM

Fig. 8 (c) Intermdiate open position in the model The system can be locked at certain angles by stabilising two diagonally opposite points.

y=67

x

y=67

y y

x

11 11

y

2y 11 11

2y

y

x=116

x

2y

2y

x

x

y

y

x=116

y=67

11

2y

11

x=116

y=67

Fig. 9 (b) Intermediate position at 60 degrees

2y

Fig. 9 (a) Closed position

Fig. 10 Axonometric view

Observation

Fig. 9 (c) Intermediate position at 120 degrees

Fig. 9 (d) Closed position

1. The deployablity in y- direction occupies larger area than in xdirection. greater than that in x- direction.

2. The system deploys along the central axis which passes through the mid point of each module.

3. Fig _ and fig_ show that volume of the space created inside remains the same, though the outer dimensions are different.

Vruti shah UI8017 Rakshita Mohnot UI6016 | 5

Straight Scissor Type b The module is derived by combining two similar modules in opposite direction. The individual member used throughout is the same. There are two major pivot points to hold the two modules together.

x/2

x/2 x=134 145

Fig. 11 Individual member

Fig. 12 (a)

Fig. 12 (b)

6 | DEPLOYABLE SYSTEM

Fig. 12 (c)

33 11 134

134

134

67

145

11

267

67

Fig. 13 (a)

58

58 116

116

Fig. 13 (b) 11 11

Fig. 13 (c)

Observation 1. The deployability in x-direction and y-direction is the same with overall equal dimensions.

2. The system allows various configurations as shown in the fig. 9.

3. The mid points of all the individual members act as pivot points.

Fig. 14 Perspective view of fig. 10(b)

Vruti shah UI8017 Rakshita Mohnot UI6016 | 7

Straight Scissor Type b Three modules of varied sizes are connected, in decreasing order are through two common opposite points such that when closed two of the smaller modules fit in the larger one. This reduces the overall space occupied by the system.

101 111

117 128

134 145

Fig. 15 Individual members

Fig. 16 (b) Front elevation (open)

Fig. 16(a) Open position

8 | DEPLOYABLE SYSTEM

Fig. 16 (c) Plan in closed position

93

108

Observation

135

1. The system deploys completely.

The variation in the lengths of the members helps it achieve this.

2. The open position of the system forms a semi closed space.

124 45°

135°

Fig. 17 Elevation of intermediate position

Vruti shah UI8017 Rakshita Mohnot UI6016 | 9

Straight Scissor Type b Straight members of varied sizes are inter- connected through different points to form a module. The figures below show variations in the orientation and manner of repition of the same module.

135 105 45

30

Fig. 18 Individual member

Fig. 19 (a) Side elevation

Fig. 19 (c) Perspective view 10 | DEPLOYABLE SYSTEM

30

Length of the member a=145 mm b=56 mm c=41 mm

Fig. 19 (b) Plan in open position

148

127

107째

122

131

92째

51째

88

Fig. 20 (a) position

Fig. 20 (b) Intermediate position (open)

Observation

24째

1. The module deploys maximum when in closed position.

2. The overall height increases as the module shrinks.

3. The surface area of the opening in between the members is maximum when the position is intermediate.

4. The entire system deploys along one common axis that passes through the end points.

175

44

Fig. 20 (c) Closed position Vruti shah UI8017 Rakshita Mohnot UI6016 | 11

Curved scissor Type- Planar Symmetrical unit

13

8

Two equal curved members are connected through the midpoint in opposite direction to create a module. This is repeated sideways through the end points. The system expands radially.

Fig. 21 (a) Module

Fig. 22 (a) Closed position

Fig. 22 (c) Open position 12 | DEPLOYABLE SYSTEM

Fig. 22 (b) Intermediate position

3

284 34 0

390

18

Fig. 23 (a) Closed position

53

0

Fig. 23 (b) Intermediate position

Observation

0

52

2

53

Fig. 23 (c) Open position

1. The curvature of the individual member forms part of a circle of radius 260mm and the repitition of the same module when juxtaposed form a circle of radius 530mm which is almost double the size.

2. The deployability is maximum when the system is in open position.

Vruti shah UI8017 Rakshita Mohnot UI6016 | 13

Right Angled Scissor Type d The right angled members are connected through straight scissors in between to form a square in closed position . x

x=47

x=47

y

y=

x

13

Fig. 24 (a) Right angled member

Fig. 24 (b) Straight member

y

y=

13

4

Fig. 25 (a) Plan

Fig. 25 (b) Elevation 14 | DEPLOYABLE SYSTEM

4

Fig. 25 (c)

59

59 84 84

51

94

94

13 132 2

93 93

51 51

3 33 1100 10

93 93 93 113 113 113

87 87 87 132 132 132

Fig. 26 (a) Open position

Fig. 26 (b) Closed position

Fig. 26 (c) Intermediate position

123

147

Observation 1.The surface area of opening in the module is least in the intermediate position and equal in closed and closed position.

2. The overall dimensions of the module do not change drastically as the system deploys.

3. In fig.25(c) as the system opens up the top module twists by a certain angle w.r.t. the bottom module.

55

121of the Fig. 27 Elevation module in open position

Vruti shah UI8017 Rakshita Mohnot UI6016 | 15

Right Angled Scissor Type d x=47

x

The right angled members are connected through straight scissors in between to form a square in closed position .

1. y=134 > x=47 x=47

y

y=

x

13

Fig. 28 (a)

4

Fig. 28 (b) y

y=

13

227

134

253

194

120

4

120 194 253

Fig. 29 (a) Closed position

134 227

Fig. 29 (b) Open position

Observation 1. The deployability of the overall system does not create major changes in the outer dimensions.

2. The total surface area of the openings reduces as the system opens up.

3. The length of the right angled members are smaller than the straight scissors, which causes less deployability of the system.

Fig. 30 (a) Closed position 16 | DEPLOYABLE SYSTEM

Fig. 30 (b) Open position

Right Angled Scissor Type d x=47

x

The right angled members are connected through straight scissors in between to form a square in closed position .

x=47

y

y=

x

13

Fig. 31 (a) Right angled member

4

Fig. 31 (b)

y

y=

13

4

Fig. 32 (b) Closed position

Fig. 32 (a) Axonometric view

Fig. 32 (c) Closed position

Vruti shah UI8017 Rakshita Mohnot UI6016 | 17

41 132 165 183

139 46 139 159 177

41 132 165 183

Fig. 33 (a) Open position

Fig. 33 (b) Intermediate position

10 92 148 166

Observation

10 92 148 166

Fig. 33 (c) Closed position

18 | DEPLOYABLE SYSTEM

1. The opening in the center of the system reduces as it closes. But it does not deploy completely.

2. The outer dimensions change as a result of the movement in the inner modules. It is maximum when the system is in intermediate position.

Vruti shah UI8017 Rakshita Mohnot UI6016 | 19

Origami Mechanism Type a- V Pleat

Observation 1. The system deploys completely.

2. The system deploys in x and y direction, which results in variation in z- direction.

20 | DEPLOYABLE SYSTEM

Type b- V Pleat

Observation 1. The change in the angle between two folds results in the change in height of the module.

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Type c- V Pleat

Observation 1. The system deploys only in one direction.

2. The folds are very dense and it deploys completely.

22 | DEPLOYABLE SYSTEM

Observation 1. The system does not deploy completely. The ratio of deployability is 4:3.

Vruti shah UI8017 Rakshita Mohnot UI6016 | 23

Type a - X form

Observation 1. The system deploys completely in one direction.

2. The folds create a semi closed tunnel shape.

24 | DEPLOYABLE SYSTEM

Type b - X form

Observation 1. The continuous repititive folds create a completely volume.

2. The number of folds is directly proportional to the curvature of the form.

Vruti shah UI8017 Rakshita Mohnot UI6016 | 25

Type c - X form

Observation 1. This system deploys in one direction and forms a closed tunnnel shape.

2. With the change in length, breadth and height, the shape of the tunnel changes resulting in a change in expansion ratio.

26 | DEPLOYABLE SYSTEM

V- Pleat

Observation 1. This system deploys completely in two directions, keeping the mid point axis as the central axis.

2. The folds are at right angle in this case.

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