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. 2020 Nov 7;20(21):6355. doi: 10.3390/s20216355
D internal diameter of a derrick cylinder
lB Initial length before boom extension
lB 1 distance from point O to the center of mass of the first boom
lB 2 distance from point O to the center of mass of the second boom
ldl distance after the derrick cylinder extends
ldl_i initial distance before the derrick cylinder extends
lTR distance from point O to the center of mass of a telescopic cylinder (rod)
lTS length after boom extension
lTT distance from point O to the center of mass of a telescopic cylinder (tube)
MB moment of force caused by the boom’s own weight
MD moment of force caused by the derrick cylinder’s own weight
O rotation center of the boom
P center point connecting a derrick cylinder with a boom
R rotational radius of a derrick cylinder
W lifting load of a cargo crane
WB 1 weight of the first boom
WB 2 weight of the second boom
Wmax maximum lifting load of a crane
Wmax_bc best-fit curve of the maximum lifting load
WTR rod weight of a telescopic cylinder
WTT tube weight of a telescopic cylinder
α assembly angle of a derrick cylinder
β angle between the centerline of the derrick cylinder and an imaginary line connecting points o and p
ΔP tube pressure of a derrick cylinder
θ luffing angle of the boom
θ 1 luffing angle variable to find the maximum lifting weight
θc luffing angle at which the boom can descend the lowest based on its current angle
θnew luffing angle of the boom measured in real time