The sms representation scheme allows a given specification to be decomposed into an ordered sequence of sub - sms , and attempts to match each sub - sms with one or more stored basic mechanical units . thus , the possible solutions are generated . the data structures , the decomposing and the synthesis algorithm are presented according to the established mathematical models and the data base system 同时,结合关系型数据库系统对运动方案设计知识库的组织管理(包括基本变换单元信息的存储、提取操作及数据流间的复杂关系建立) ,提出了方案设计的综合求解算法,实现了在计算机上进行方案设计的可计算自动求解。
As a result , the concept of state space for conceptual design of mechanical system is presented , which is new to the literature , based on the set of all state vectors . meanwhile , the properties of state vectors , which are vectors addition , constant multiplying , reversible driving , zero vectors , are discussed in state space . secondly , the dual - vector is introduced to descript the essential relation among the input and output characteristic vectors as well as sms 按照状态空间中对偶特征矢量的运算规则,在已知系统的输入输出特征矢量的情况下,通过数学推导求解,将形成的系统状态变换矩阵分解为多个状态变换矩阵的乘积,再通过各状态变换矩阵到数据库中寻找相应的基本变换单元集合,然后进行按序组合,进而从理论上获得相应的方案设计可行解。
The input and output state vectors are defined , which are a 6 1 column vector including motion types , the magnitude and spatial orientation , respectively . the state matrices ( sms ) can be deduced by vectors operation , that is , the output state vectors multiplied by the input state vectors 其中,前者按照输入输出端的不同运动类型、速度矢量的大小及方向特征,以6维矢量形式表示;而后者作为输入、输出特征矢量之间的纽带,描述了基本变换单元的功能与特征。