Smoothing of piecewise linear splines and the application to piecewise linear fat splines

A Spline Joint Formulation for Drive Train Torsional Dynamic Models

“…Although equation (9) For large n, the piecewise linear regions of G[x( )] shown in Figure 3(b) can be approximated by continuously nonlinear functions [9]. In Figure 4, the contacts on the right tooth #ank of the translational model shown in Figure 3 x"x!1 and another z-axis perpendicular to the x-axis.…”