Synthesis of mechanical error in rapid prototyping processes using stochastic 1 approach

A synthesis procedure for allocating tolerances and clearances in rapid prototyping (RP) processes has been developed, using a unified method based on stochastic approach, as developed by the authors, to study the mechanical error in RP processes. The tolerances and clearances that cause mechanical error have been assumed to be random variables, and are optimally allocated so as to restrict the mechanical error within the specified limits. Using the synthesis procedure, the allocation is done for the Fused Deposition Modeling (FDM) and the Stereolithography (SL) processes.

[1]  Kalyanmoy Deb,et al.  Simulated Binary Crossover for Continuous Search Space , 1995, Complex Syst..

[2]  Sanjay G. Dhande,et al.  Analysis and Synthesis of Mechanical Error in Linkages—A Stochastic Approach , 1973 .

[3]  A. C. Rao,et al.  Synthesizing linkages with minimal structural and mechanical error based upon tolerance allocation , 1982 .

[4]  Andrew Y. C. Nee,et al.  Multi‐objective optimization of part‐ building orientation in stereolithography , 1995 .

[5]  Kalyanmoy Deb,et al.  Optimization for Engineering Design: Algorithms and Examples , 2004 .

[6]  William L. Cleghorn,et al.  Allocation of Dimensional Tolerances for Multiple Loop Planar Mechanisms , 1989 .

[7]  O.M.A Sharfi,et al.  A simple method for the allocation of appropriate tolerances and clearances in linkage mechanisms , 1983 .

[8]  R. G. Fenton,et al.  Optimum Tolerancing of Planar Mechanisms Based on an Error Sensitivity Analysis , 1993 .

[9]  Georges M. Fadel,et al.  Accuracy issues in CAD to RP translations , 1996 .

[10]  G. H. Sutherland,et al.  Mechanism Design: Accounting for Manufacturing Tolerances and Costs in Function Generating Problems , 1975 .

[11]  Byung Man Kwak,et al.  Optimal Stochastic Design of Four-Bar Mechanisms for Tolerance and Clearance , 1988 .

[12]  J. Chakraborty,et al.  Synthesis of mechanical error in linkages , 1975 .

[13]  L. M. M.-T. Theory of Probability , 1929, Nature.

[14]  André Dolenc,et al.  Slicing procedures for layered manufacturing techniques , 1994, Comput. Aided Des..

[15]  A. Ravindran,et al.  Engineering Optimization: Methods and Applications , 2006 .

[16]  Leong Kah Fai,et al.  Rapid Prototyping: Principles and Applications in Manufacturing , 2003 .

[17]  H. Jeffreys,et al.  Theory of probability , 1896 .

[18]  N. Bakthavachalam,et al.  Optimum Synthesis of Path-Generating Four-Bar Mechanisms , 1975 .

[19]  Sanjay G. Dhande,et al.  Analysis and synthesis of mechanical error in path-generating linkages using a stochastic approach , 1987 .