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The path method for analyzing mobility and constraint of mechanisms and assemblies

机译:分析机构和组件的移动性和约束的路径方法

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This paper addresses the problem of determining the instantaneous state of mobility and constraint of a general mechanism or assembly using screw theory. This problem has been attacked before by different methods with varying success. The method presented here is very simple and applies to many types of mechanisms, with one interesting exception. This exception also eludes the Griibler/Kutzbach criterion. The method presented here also improves the accuracy and scope of a method presented by Konkar and Cutkosky. Note to Practitioners - This paper permits an engineer to analyze the state of constraint of an assembly, mechanism, or fixture in order to see if it is properly constrained or whether it contains unwanted overconstraints. Overconstraint can lead to locked-in stress, incorrect tolerance analysis, and lack of robustness in a design. Very small changes in the sizes of parts or positions of locators in fixtures can have large effects on locations of parts, deformation, or internal stresses. Proper constraint is desirable because it provides for only one way to assemble parts. Operator dependency is eliminated, assembly is quick and repeatable, and special skin is not needed.
机译:本文讨论了使用螺旋理论确定通用机构或组件的瞬时运动状态和约束条件的问题。以前,此问题已通过不同的方法获得了不同程度的成功。这里介绍的方法非常简单,适用于多种类型的机制,但有一个有趣的例外。此例外也排除了Griibler / Kutzbach准则。这里介绍的方法还提高了Konkar和Cutkosky介绍的方法的准确性和范围。执业者注意-本文允许工程师分析组件,机构或固定装置的约束状态,以查看其是否受到适当约束或是否包含不必要的过度约束。过度约束可能导致锁定应力,错误的公差分析以及设计中的鲁棒性不足。零件尺寸或夹具中定位器位置的很小变化可能会对零件位置,变形或内部应力产生很大影响。适当的约束是可取的,因为它仅提供一种组装零件的方式。消除了对操作员的依赖,装配快速且可重复,并且不需要特殊的外观。

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