Allocation of geometric tolerances in one-dimensional stackup problems

Abstract Many tolerancing problems on mechanical assemblies involve a functional requirement depending chain of parallel dimensions individual parts. In these one-dimensional cases, simple methods are available for the analysis and allocation dimensional tolerances. However, they difficult to extend geometric tolerances, which must be translated into equivalent tolerances; this allows but makes generally impossible without Monte Carlo simulation complex search strategies. To overcome difficulty, paper proposes way dealing directly with tolerances in problem. This consists expressing as linear model rather than coefficients (sensitivities) calculated considering both dimension standard definition The approach can combined any constrained optimization method based sensitivities. optimal scaling method, previously proposed is extended used two examples demonstrate simplicity overall workflow quality solution.