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# 10000 surfaces were generated and the covariance was

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Unformatted text preview: exist and are summarized in [Tonks and Chase, 2004]. The method used by [Merkley and Chase, 1996] requires that each part be meshed and an equivalent stiffness matrix be created according to −1 K eq,a = (K a + K b ) K b . (1) −1 K eq,b = (K a + K b ) K a With the equivalent stiffness matrices and the mean of the misalignment between the parts μδ , the means of the misalignment of the individual parts are found from 0 μ δa = K eq,a μ δ0 μ δb = K eq,b μ δ0 , ( 2) where μ δ = μ δ + μδ . For a linear relationship such as in Eq. (2), the covariance of the 0 a b part misalignment is found from the equivalent stiffness matrix and Σδ according to 0 Σ δ = K eq,a Σ δ K T a eq, a 0 Σ δ = K eq,b Σ δ K T b eq, b 0 , ( 3) Figure 1; Equilibrium position of assembled parts 324 M. R. Tonks, K. W. Chase and C. C. Smith as shown in [Johnson and Wichern, 2002]. The covariance of the part misalignment depends on the material stiffness and is therefore called the material covariance. 2.3. Stress and Springback Solution The springback and...
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## This note was uploaded on 08/03/2010 for the course DD 1234 taught by Professor Zczxc during the Spring '10 term at Magnolia Bible.

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