Download Bioengineering Analysis of Orthodontic Mechanics by Robert J. Nikolai PDF

By Robert J. Nikolai

ISBN-10: 0812109228

ISBN-13: 9780812109221

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Extra resources for Bioengineering Analysis of Orthodontic Mechanics

Example text

Today's vendors of wires, elastics, and the whole array of appliance ele- ments are oriented in the materials and engineering sciences, and clinicians must be able to communicate appropriately with them. To understand the mechanical and structural functions expected of their appliances, and to match sets of appliances properly with the treatment plan, the practitioner must be able to undertake at least a cursory analysis of the force systems created by activation of those appliances. Physiologically-proper forces, to be exerted on the dentition, must be approximated.

A concentrated torce and moment vectors with respect to lines (axes) through point 0. 38 Bioengineering Analysis of Orthodontic Mechanics potential of the force to produce rotation about a particular line through the point may be obtained. The rotational potential with respect to a line, a moment axis, has the greater application in orthodontic mechanics. In Figure 2-9, the moment of F about point 0 is also the moment of the given force with respect to the line Z-Z. To obtain the moment about another line through point 0, line L-L in Figure 2-9 for example, the magnitude of the moment about line Z-Z is multiplied by the cosine of the angle between L-L and Z-Z.

The vector summations of Figures 2-3 and 2-4 may be handled alternatively, using a corollary of the parallelogram law: the triangle law. 8 oz P = 3 oz I tan 6 = Q = 6 oz P 0 = 27° FIGURE 2-4. The resultant of two concurrent, mutually-perpendicular forces. 5 32 Bioengineering Analysis of Orthodontic Mechanics 0 JR HG R P 0 Q FIGURE 2-5. Resultants obtained for the given forces of Figure 2-3 (top) and Figure 2-4 (bottom) using the triangle law. Graphical solutions for the examples of Figures 2-3 and 2-4, using the triangle law, are shown in Figure 2-5.

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Bioengineering Analysis of Orthodontic Mechanics by Robert J. Nikolai


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