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. 2019 Nov 14;10(11):780. doi: 10.3390/mi10110780
List of Symbols
Symbol Explanation
A Cross-sectional area of pneumatic actuator
a, b, c Fractional section lengths (a, b, c R (0, 1) and a+b+c<1)
dei Distance between the neutral axis and the void center
E Young’s modulus
F Tensile force
Ii Second moment of area
Li Length of each section
Ltop,i, Lbot,i Length of top & bottom side
Ltot Total length of PDMS microtube
Mi Bending moment of each section
p Pneumatic pressure
po Current applied pneumatic pressure
pmax Maximum applied pneumatic pressure
rin Cylindrical template radius
s The original axial coordinate of the undeformed pneumatic actuator
tti Top wall thickness of each segment
tbi Bottom wall thickness of each segment
φ Deviation angle
x(s), y(s) x, y-axis deformed coordinate
xi, yi x, y coordinate (in line-segment model)
ε Engineering strain
εtop,i, εbot,i Top and bottom wall strain
σ Engineering stress
θi Final tilt angle (in line-segment model)