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Finding the relation between force direction and tooth displacement allows us to choose appropriate the mini screw position and power arm height for favorable and successful tooth movement.
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The relation between the force direction and different mini screw positions with varied anterior power arm heights was clarified.
A functional relationship between the interslice force direction and influencing factors including the gradient of the sliding surface, the gradient of the slope surface and the shear strength of the sliding surface is deduced based on the Mohr-Coulomb failure criterion.
Considering force direction and magnitude to reflect qualitative and quantitative features of the motor plan respectively, we studied the relationships between voluntary forces and those evoked by TMS.
Left-side plots show the result without considering force direction, and the right-side plots for considering force direction.
We calculated error between the angular velocities of the force directions, and validated the error.
Force directions and magnitudes were obtained from the literature.
The angle formed between the force direction of the mini screw and the horizontal component is called the θ angle.
A reliable contact treatment based on topological relations of workpiece is proposed to define the force direction between die and punch.
The standard deviations due to the variation of the force ratio and the force direction were 8.0° and 2.6°, respectively.
To make a distinction between variation due to force direction (N = 58) and force ratio (N = 7), for each force ratio the variation of the CO angle was calculated.
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