第一类齿轮集机构复合齿轮最小层数证明  

Proving the minimum composite gear level of the typeⅠcounter-meshing gears

作　　者：高杨[1] 白波[1] 

机构地区：[1]中国工程物理研究院电子工程研究所,四川绵阳621999

出　　处：《太赫兹科学与电子信息学报》2013年第6期994-999,共6页Journal of Terahertz Science and Electronic Information Technology

基　　金：中国工程物理研究院超精密加工技术重点实验室基金资助(2012CJMZZ00009);西南科技大学制造过程测试技术省部共建教育部重点实验室开放课题资助(11ZXZK03);重庆大学新型微纳器件与系统技术国防重点学科实验室访问学者基金资助(2013MS04)

摘　　要：抗干涉齿轮集(CMG)机构是一种复杂的密码鉴别机构,可用于确保要害系统保证性的机械组合锁中。CMG机构的密码鉴别功能取决于由多层密码齿轮堆叠而成的2个复合齿轮。在满足同样的密码鉴别功能的前提下,复合齿轮层数的最小化有利于应用CMG机构的机械组合锁的小型化、可靠性和制造性。复合齿轮最小层数的问题是CMG机构最重要的基本问题之一,迄今为止却未见相关报道。介绍了证明过程中所需要的基本概念,包括CMG机构的密码鉴别原理、CMG机构编码问题的定义和CMG机构优化编码的分层判据;证明了第一类CMG机构的复合齿轮的最小层数为3,也解释了此前报道的"3色循环着色编码方法"原理;当解锁符号序列仅有1次"AB"或"BA"的跳变时,第一类CMG机构存在一种退化特例,其复合齿轮齿的最小层数为2,由于退化特例不具有实用性,在工程应用中可以忽略。Counter-Meshing Gears（CMG） mechanism is a complex discrimination mechanism which can be used in micro/meso combination locks for high-consequence system surety. Discrimination function of the CMG mechanism is defined by its two composite gears, which are stacked by several coding gears separately. Under the precondition to satisfy the same discrimination functions, the minimized composite gear level is propitious to the miniaturization, reliability and manufacturability of the mechanical combination lock with a CMG mechanism. The minimum composite gear level is one of the most important fundamental problems of the CMG mechanism, whereas it has not been reportecl. Most neetaea oaslc concepts for the proving process are introduced firstly, including discrimination principle of the CMG mechanism, definition of the CMG mechanism coding problem, and delaminating criterion for the CMG mechanism＇s optimized coding method. A conclusion that the minimum composite gear level of the type [ CMG mechanism is 3 is proven. And principle of the previously reported 3 colors circular alternant coloring method is also explained. There is a degenerated instance of the type I CMG mechanism when the unlock symbol sequence has only one switch from symbol A to B, or vice versa. Because the degenerated instance is not practical, it can be ignored in engineering applications.

关 键 词：组合锁 密码鉴别机构 抗干涉齿轮集 迷宫 

分 类 号：TN918.2[电子电信—通信与信息系统] TH112.3[电子电信—信息与通信工程]