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.
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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