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. 2023 Feb 6;23(4):1824. doi: 10.3390/s23041824
Symbol Unit Description
MyGB Nm GB input moment around y-axis
Myapplied Nm Applied bending moment around y-axis
MzGB Nm GB input moment around z-axis
Mzapplied Nm Applied bending moment around z-axis
FxDS N DS-based force in x-direction
FzDS N DS-based force in z-direction
FxGB N GB input force in x-direction
Fxapplied N Applied force in x-direction by test bench
FyGB N GB input force in y-direction
Fyapplied N Applied force in y-direction by test bench
FzGB N GB input force in z-direction
Fzapplied N Applied force in the z-direction by test bench
Iy m4 Second moment of area with respect to the y-axis
Iz m4 Second moment of area with respect to the z-axis
Kax Coefficient matrix for computing load vector Lax
Ksh Coefficient matrix for computing load vector Lsh
Lax Vector of the loads computed with axial SG
Lsh Load vector computed using shear SG
TxGBi Nm GB input torque at each time step i
TxGB Nm GB input torque
TxHSSi Nm GB torque (HSS) at each time step i
TxHSS Nm GB torque (HSS)
Txapplied Nm Applied torque
WT m3 Torsional section modulus
accyi g Acceleration in y-direction measured by the i-th sensor set on the LSS
acczi g Acceleration in z-direction measured by the i-th sensor set on the LSS
iGB GB ratio
mcorrected Slope of the corrected strain signal after applying Pseudocode in Algorithm 1
moriginal Slope of the original strain signal
rin m Inner radius of LSS
rout m Outer radius of LSS
tε Indices of the window for Pseudocode in Algorithm 2
εrotated Strain signal of the window after applying Algorithm 2
ϵBy Maximum axial strain induced by the bending moment My
ϵBz Maximum axial strain induced by the bending moment Mz
ϵN Axial strain induced by normal force
ϵax Axial strain vector
ϵi Strain measured from axial SG connected to the i-th telemetry module
ϕi Angular position of i-th telemetry module
f Hz Sampling rate of the used Savitzky-Golay filter
ϴ Angle between the two gradients for Pseudocode in Algorithm 2
ε Strain signal of the window after applying Pseudocode in Algorithm 1
τ kgms2 Shear stress
τT kgms2 Shear stress resulting from torsional load
T Nm Torsional load
τFi kgms2 Shear stress resulting from later force in the i-direction
Fi N Lateral force in the i-direction
Sj m3 First moment of area with respect to the j-axis
Ij m4 Second moment with respect to the j-axis
bi m Width along the i-axis of a beam
ALSS m4 Cross-section of LSS