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By Docteur Paul G. J. Maquet (auth.)

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Extra resources for Biomechanics of the Knee: With Application to the Pathogenesis and the Surgical Treatment of Osteoarthritis

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C) Force P Exerted on the Knee by the Partial Mass S7 of the Body Force P exerted on the knee by the partial mass of the body (concentrated in S7) is the resultant force of the partial weight ~ of the body, and of the components Dx , Dy, and Dz of the forces of inertia (Fig. 44). It can be easily calculated: Its point of application is S7 and its direction in space is given by the angles which the line of action of the force P forms with the three axes. 1 em -]0 · '0 36 Fig. 35. " Evolute " or Fick and cent re o r the knee accordi ng to Brau ne a nd Fi cher (coordi nate : 0,48) Z j /""- ...

Cos Yt Dx· cos ext + Dy· cos f3t + (~+ Dz )· cos Yt' I XG . I I S7H =yD; +D; +(~ +D z )2 cos ext + YG· cos f3 t + ZG· cos Yt Dx· cos ext + Dy· cos f3t + (~+ Dz )· cos Y/ I XG . T = I I VA2 +B2 sinceV D; +D; +(P + D )2 = P. 7 z One again obtains the value of R rr . One can finally find out the value of distance d 1 from point G to line H H', line of action of R rr . For that, the angular coefficient of line HH' in the plane (u, v) is first calculated: = -(au· x~ +b u · Y~ +c u · z~), Vw = - tw _ =0.

From the curve of the displacement, the velocity can now be obtained by graphical differentiation. The curve of the velocity is also drawn. A new graphical differentiation from the latter reveals the curve of the acceleration. The accelerations can also be calculated. From the curve of the displacement, the mean velocity between two following phases is obtained through the equation: dl dt V=- dl = difference between two following coordinates. 038333 sec. 038333 sec, gives the mean acceleration of S7 during one phase: dv acc = ----;It.

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