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. 2020 Jun 26;13(12):2866. doi: 10.3390/ma13122866
Fd The drilling thrust force
Pu and Pd The pressures applied on the clamping areas of upper side and lower side
Ru1, Ru2, Rd1, and Rd2 The inner radius and outer radius of the upper and lower presser feet
F1 The upper clamping force at circle with radius Ru
F2 The lower clamping force at circle with radius Rd
μ0 The initial gap
μ The interlayer gap
a The length of the sheet;
b The width of the sheet
h The thickness of the sheet
ω(Or) The deflection at the circle of radius r caused by unit force at drilling center
ω(Rur) The deflection at the circle of radius r caused by unit force at upper clamping area
ω(Rdr) The deflection at the circle of radius r caused by unit force at lower clamping area
ω1(r) The deflection at the circle of radius r of upper plate
ω2d(r) The deflection of the plate caused by the thrust force
ω2c(r) The deflection of the lower plate caused by the lower clamping force
ω(r) The interlayer gap
ωu(r) The deformation of the upper plate
ωd(r) The deformation of the lower plate
ω The deflection of the rectangular thin plate
P(x,y) A point on the plate
P0(x0,y0) The position of the drilling thrust force applied at the lower plate
P1(x1,y1) and P2(x2,y2) The positions of the upper and lower clamping forces applied on the plates