The study proposes an innovative and completely new but low-cost configuration of a platform that can easily climb stairs. This platform serves the purpose of a chassis. Different versions, such as staircase-climbing wheelchair or staircase-climbing trolley for material transferring, can be derived depending on the structure built on the platform. The driving wheels have a shape that completely matches with the profile of the steps. Complex components are eliminated. Thus, this platform is conveniently applicable in the configurations useful for climbing staircases.
Fig.9 Completed profile of the proposed wheel with three lobes
Fig.10 Completed profile of the proposed wheel with four lobes
Fig.11 Paper models of the wheels
Fig.12 Conjugate action verification
Fig.13 Profile in contact with the flat portion of step
Fig.14 Increment in radius
Fig.15 Angle nomenclature for the wheel
Fig.16 Generalized relative dimensions
Fig.17 Conjugate curve generated in software
Fig.18 Wheel generated in the software
Fig.19 Modeled wheel in contact with step
Parameter
Dimension
Value/mm
Height
Maximum
190
Minimum
115
Depth
Maximum
355
Minimum
240
Tab.1 Standard dimensions
Fig.20 Spreadsheet of the DOE calculations (column marked with yellow color is optimum because the torque requirement is minimum)
Fig.21 Prototype of the proposed platform
Fig.22 Attachment for planar motion
Fig.23 Bracket in working position
Fig.24 Bracket in retracted position
Fig.25 Removal of the lock
Fig.26 Retracted bracket at the start of the ascend
Fig.27 Start of the ascend of the complete setup
Fig.28 Brackets in retracted position
Fig.29 Setup fabricated at full scale
1?Chassis; 2?Bearing housings; 3?Axles; 4?Sprocket wheels; 5?Mechanical chain; 6?Reduction drive; 7?Single phase alternating current motor as prime mover; 8?Driving wheels having generated outline; 9?Hubs for mounting the drive wheels; 10?Nuts and bolts
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Addendum of the conjugate wheel
dd
Dedendum of the conjugate wheel
q
Angle of slope of the staircase
f
Wheel rotation angle when the contact is with going
a
Angle of wheel rotation when the contact is with rise
d
Angle subtended by one lobe with respect to wheel center
r0
Minimum radius of logarithmic spiral
df
Incremental angle of wheel rotation
f0
Angle of the wheel radius with respect to minimum radius position
dr
Incremental increase in radius of the spiral
R0
Pitch radius of the blank of wheel
a
Linear travel of the center when the contact is with horizontal surface
d
Linear travel of the center when the wheel is not in contact
H
Step height
F
Ratio (depth/height) of the step
N
Number of lobes of the wheel
t
Parametric variable introduced in the analysis
Hyp
Hypotenuse of the right-angled triangle bounded by height and depth of the step
D
Step depth
Tab.1
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