Variation Propagation Analysis on Compliant Assemblies Considering Contact Interaction

Dimensional variation is inherent to any manufacturing process. In order to minimize its impact on assembly products is important to understand how it propagates through the assembly process. Unfortunately, manufacturing processes are complex and in many cases highly non-linear. Traditional assembly models have represented assembly as a linear process. However, assemblies that include the contact between their components and tools show a highly non-linear response. This paper presents a new assembly methodology considering the contact effect. In addition, an efficient to predict output response is presented. The enhance dimension reduction method (eDR) is used to accurately and efficiently predict the statistical response of the assembly to variation on the input parameters.Copyright © 2006 by ASME

[1]  J. Murzewski,et al.  Probability, Reliability and Statistical Methods in Engineering Design: A. Halder and S. Mahadevan, John Wiley & Sons, New York, 2000, xi+304 pp , 2001 .

[2]  S. Jack Hu,et al.  Variation simulation for deformable sheet metal assemblies using finite element methods , 1997 .

[3]  David Lamb,et al.  Stochastic Response Surface Using the Enhanced Dimension-Reduction (eDR) Method for Reliability-Based Robust Design Optimization , 2006 .

[4]  Wayne W. Cai,et al.  Digital Panel Assembly Methodologies and Applications for Compliant Sheet Components , 2006 .

[5]  Jaime A. Camelio,et al.  Modeling Variation Propagation of Multi-Station Assembly Systems With Compliant Parts , 2003 .

[6]  Achintya Haldar,et al.  Probability, Reliability and Statistical Methods in Engineering Design (Haldar, Mahadevan) , 1999 .

[7]  S. Rahman,et al.  A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics , 2004 .

[8]  Jonathan A. Wickert,et al.  Perturbation method for the floquet eigenvalues and stability boundary of periodic linear systems , 1995 .

[9]  Kenneth W. Chase,et al.  A survey of research in the application of tolerance analysis to the design of mechanical assemblies , 1991 .

[10]  Yu Ding,et al.  MODELING AND DIAGNOSIS OF MULTISTAGE MANUFACTURING PROCESSES: PART I - STATE SPACE MODEL , 2000 .

[11]  Jaime A. Camelio,et al.  Compliant Assembly Variation Analysis Using Components Geometric Covariance , 2002 .

[13]  Daniel E. Whitney,et al.  Modeling and controlling variation propagation in mechanical assemblies using state transition models , 1999, IEEE Trans. Robotics Autom..

[14]  Lars Lindkvist,et al.  Variation Simulation of Sheet Metal Assemblies Using the Method of Influence Coefficients With Contact Modeling , 2007 .

[15]  Sharif Rahman,et al.  A generalized dimension‐reduction method for multi‐dimensional integration in stochastic mechanics (Int. J. Numer. Meth. Engng 2004; 61:1992–2019) , 2006 .

[16]  S. Rahman,et al.  A univariate dimension-reduction method for multi-dimensional integration in stochastic mechanics , 2004 .