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Utilize the generating functions to enumerate the specialized mechanisms with design constraints

机译:利用生成功能来枚举具有设计限制的专用机制

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This study presents a mathematical method to calculate the generating function of the specialized mechanisms in type synthesis with design constraints. First, the link permutation group is derived from a candidate kinematic chain according to the combinatorial theory. Next, according to the types of design constraints, joint, path, and adjacent (or non-adjacent) pair groups are derived from the link group respectively. Then, the generating function of these groups can be calculated mathematically based on four well defined operators and basic groups. The generating function is a polynomial to express the results of specialized mechanisms subjected to a specific design constraint. The benefit of the method is that the results of the type synthesis can be calculated directly by mathematical manner without any inspection of isomorphism.
机译:该研究提出了一种数学方法,用于计算类型合成型综合机制的发电功能。 首先,链接置换组根据组合理论从候选运动链导出。 接下来,根据设计约束,关节,路径和相邻(或非相邻)对组的类型分别来自链路组。 然后,可以基于四个良好定义的运算符和基本组来在数学上计算这些组的生成功能。 生成功能是多项式,以表达经受特定设计约束的专用机制的结果。 该方法的益处是,类型合成的结果可以通过数学方式直接计算,而不检查同构。

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