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extremum method
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The calculation of working volume is an important problem in the design of pump-accumulator systems. A new calculating method-the extremum method has been put forward at the same time when the original calculating method is inquired in this paper. A lot of calulations and examples show that the working volume-calculated by the extremum method is more available.

工作容积的计算是泵—蓄能器系统设计中的重要问题。本文在对原有的计算方法进行探讨的同时,提出了一种新的计算法—极值法。经大量的计算和例证说明,由极值法确定的工作容积更加合理。

In order to extend the usable range of moulds reasonally by satisfying the performance requirements of productions, we present the mathematical mode, a kind of optimization to find maximum feasible interval of design variables, and solve it with the series conditionary extremum method by introducing the pre-condition concept, so that the sharing of the mould has been made. This method has presented and solved the converse problem of interval extensions,so it has a certain practical and theoretical...

In order to extend the usable range of moulds reasonally by satisfying the performance requirements of productions, we present the mathematical mode, a kind of optimization to find maximum feasible interval of design variables, and solve it with the series conditionary extremum method by introducing the pre-condition concept, so that the sharing of the mould has been made. This method has presented and solved the converse problem of interval extensions,so it has a certain practical and theoretical value in view of engineering optimization.

在严格保证产品性能要求的前提下,为了合理地扩大模具的使用范围,本文提出了“一类求设计变量最大可行区间”的数学模型,文中引入条件预优概念,应用序列条件极值法,求解了这—摸型,从而解决了模具的共享设计问题。由于这一方法成功地提出和着手求解区间扩张的逆问题,所以从工程优化的观点来看,它既具有实用意义又具有一定的理论探讨价值。

In linear dimesional chain, the dimension ofclosing link is the linear function of the component link. It isfairly convenient to calculate the closing link tolerances withthe analytic equations. However, if the dimensional chain to bedealt with is planar or spacial, the functional relation betweenthe closing link and the component links will be rather complic-ated so that it will be rather difficult or even impossible toobtain the component link tolerances with analytic equations.In this article, a sort of computer--based...

In linear dimesional chain, the dimension ofclosing link is the linear function of the component link. It isfairly convenient to calculate the closing link tolerances withthe analytic equations. However, if the dimensional chain to bedealt with is planar or spacial, the functional relation betweenthe closing link and the component links will be rather complic-ated so that it will be rather difficult or even impossible toobtain the component link tolerances with analytic equations.In this article, a sort of computer--based numerical solvingprvecss of dimensional chain is presented. The general formsand their solving Processes of the common as well as the compli-cated dimensional chain equations are discussed. The way ofusing the extremum method, probabilistic method and statisticaltrial method to calculate the closing link tolerancesand the li-mit errors are also given.This method is suitable for the calcu-lations on computers. It can be used for solving problems of bothcommon and complicated dimensional chain.

在直线尺寸链问题中,封闭环尺寸是组成环尺寸的线性函数,因而用解析公式计算封闭环极限尺寸和公差比较方便,在平面尺寸链和空间尺寸链中,封闭环与组成环的函数关系较为复杂,用解析公式计算封闭环极限尺寸、公差较为困难,有时甚至无法求解,本文提出了尺寸链的计算机数值解法,论述了常见的和复杂的尺寸链方程的一般形式及其解法,以及极值法、概率统计法、统计试验法求解封闭环公差及极限偏差的方法,该方法适用于计算机计算,不仅能求解常用的也能求解复杂的尺寸链问题。

 
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