基于雅可比旋量理论的公差优化分配

摘要

以雅可比旋量理论为基础,建立了尺寸公差和形位公差综合优化分配模型.首先在公差模型中计算了空间尺寸链传递累积形成的装配误差,并以设计规定的装配功能要求作为公差优化分配的约束条件,以加工总成本最小为优化目标函数,采用遗传算法求解,得到优化的尺寸公差和形位公差.将此方法应用于某齿轮泵装配体的公差优化分配算例中,在保证装配质量的前提下实现了加工总成本最低的公差优化分配.%To solve assembly optimal tolerance allocation for composite dimensional and geometric tolerances on the basis of Jacobian-torsor tolerance model, a nonlinear optimal tolerance allocation model was established aiming to minimize the total manufacturing cost. First, the accumulated assembly error was calculated based on spatial dimension chains propagation in tolerance model. The assembly functional requirement was regarded as constraints of optimization model. Optimal dimensional and geometric tolerances could be obtained by genetic algorithm. A gear pump assembly was used as a typical example for testing the proposed method. The obtained results were guaranteed to minimize processing costs while satisfying the product assembly quality at the same time.