The interval constraint can be applied in tolerance design if tolerances are considered as interval, and backward propagation can be used to realize tolerance synthesis in which tolerances are allocated to meet functional requirements. The intervals are tightened uniformly or according to interval width or nominal value of dimension in previous methods. A tolerance backward propagation method based on manufacturing difficulties is presented in this paper. In the new arithmetic, the interval is tightened according to the manufacturing difficulty of the interval. So it will be easy to manufacture and has lower manufacturing cost. Finally, the proposed arithmetic is tested on a practical example.
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