10000 surfaces were generated and the covariance was

Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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...
View Full Document

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.

Ask a homework question - tutors are online