一种新的尺寸链计算机辅助分析、解算方法的研究

【作者】 邱海波；

【导师】 廖振强；

【作者基本信息】 南京理工大学 ， 机械制造及其自动化， 2003， 硕士

【摘要】 本文介绍了一种新的尺寸链计算机辅助分析、解算方法，以及应用该新方法建立起来的一套应用软件系统和目前尺寸链计算机辅助分析、解算的研究现状与发展趋势，详细地论述了如何运用该新方法确立二维平面尺寸链计算机辅助分析、解算软件系统的模型、数据结构、模块分工以及具体软件功能实现等。 鉴于这类系统在各大中小型企业的广泛应用与相对滞后的研究水平，本文提出了三种新的能切实地解决目前尺寸链计算机辅助分析解算中存在的各种难题的设计方案，第一种方案将尺寸链中各组成环能取的极值组合起来，自动列方程组，求解每个组合情况下的封闭环尺寸，最后比较这些结果，得出封闭环的最大最小值；第二种方案将尺寸链各组成环向预先设定好的两个方向投影，之后再分析各尺寸环投影分量的增减性，并且提供了组成环两个方向上的投影分量增减性不一的复杂情况下的解决办法，综合组成环各投影分量的增减性，然后自动列出方程组，最后根据各组成环的投影分量以及所列的方程组来确定尺寸链封闭环的尺寸；第三种方案以蒙特卡洛法为原理，在尺寸链各组成环的取值范围内使用计算机产生大量随机数，模拟实际大批量生产中的零件尺寸分布情况，以更经济更合理的方式分析、计算封闭环尺寸。 并且本文还使用了众多尺寸链分析计算实例来验证使用这三种方案设计的计算机辅助尺寸链分析解算软件的正确性、实用性和可靠性。同时本文还将该新方法推广应用到三维空间尺寸链的计算机辅助分析和解算上，对计算机辅助三维空间尺寸链的分析、解算工作进行了初步的理论尝试和可行性研究，而且通过对具体实例的分析和解算，加以论证。更多还原

【Abstract】 This paper introduces a new method of computer-aided analysis and calculation about dimension-chain, the new soft system of computer-aided analysis and calculation about dimension-chain based on this method, and current research of this soft system. It is discussed in detail how to establish the data structure, model and principle of the new soft system of computer-aided analysis and calculation about planar dimension-chain.Because of its extensive application and underdeveloped research level in all kinds of enterprises, this paper establishes three kinds of solutions to various difficulties about analyzing and calculating dimension-chain using computer. The first one: fitting together ultimate values of every dimensions in one dimension-chain one by one, educing many equations by itself, calculating results, and comparing these results of close dimension to find maximal and minimal values. The second one: projecting all dimensions on two preestablished axis, then providing the solutions to analyze whether every projected dimensions is increscent or decreasing, and synthesize the effect of every projected dimensions to close dimension, educing many equations by itself, at last calculating the result of close dimension. The third one: according to Monte Carlo analysis, getting every dimensions’ values from every dimensions’ tolerances at random time after time, simulating the actual circumstances of mass production using these dimensions, and calculating reasonable results of close dimension economically.And for the validity, practicability and dependability of this soft system, this paper uses many instances to validate three kinds of solutions. In this paper, the new method is used to solve the problems of computer-aided analysis and calculation about special dimension-chain, and this paper does some jobs about validating feasibility and primary theoretic argumentation studying on the principle and model of computer-aided analysis and calculation about special dimension-chain by instances.更多还原