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Unformatted text preview: traints must not all be parallel, as this results in dependent equations. For example, in Figure 1, P5 cannot simultaneously contact both the left and right edges of the cavity of P1. 3. Arc-arc constraints may result in equations whose solutions are imaginary. To avoid this, the constraints must be feasible under small variations of the parts. 2.2.2 Computation of the sensitivity matrices We now present a four-step algorithm to compute the vertex sensitivity matrices. The steps are: 1. model the relations between the two parts; 2. construct the corresponding system of equations; 3. compute the transformation relating the parts and its partial derivatives according to the variational parameters, and; 4. apply the transformation on the vertices of the free part to obtain the sensitivity matrix of each vertex. In step 1, the relations are determined by three constraints of the six types described in Section 2.2.1. In step 2, the equations are constructed according to Section 2.2.1. For efficienc...
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- Spring '10
- The Land