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A synthesis method for path generation of a planar five-bar mechanism based on dynamic self-adaptive atlas database
Applied Mathematics in Science and Engineering ( IF 1.3 ) Pub Date : 2020-05-24 , DOI: 10.1080/17415977.2020.1745792
Jianwei Sun 1 , Na Xue 1 , Wenrui Liu 1 , Jinkui Chu 2
Affiliation  

A method for the path synthesis of a planar five-bar mechanism based on wavelet analysis theory is proposed in this paper. Wavelet transform analysis is used to extract wavelet characteristic parameters(WCPs) from the basic dimensional types(BDTs) database. Combined the numerical atlas method with multidimensional search tree, a four dimensions search tree with a depth of five is obtained, in which numbers of leaf nodes are 4,096, and each node stores 59,787 groups of BDTs database numbers. Meanwhile, an index keyword database is established. By comparing the WCPs of a prescribed curve with index keywords, the leaf node where the desired mechanism is located is found. The WCPs of the BDTs in the leaf node are extracted, and a dynamic self-adaptive atlas database is established. Based on the design requirements, the desired mechanism can be obtained by fuzzy identification. Then, a mathematical model is established for calculating the actual sizes of the desired mechanism. The arbitrary design interval path synthesis of a five-bar mechanism is realized. Two examples are presented to demonstrate the veracity and practicality of the method proposed.

中文翻译:

基于动态自适应图谱数据库的平面五杆机构路径生成综合方法

提出了一种基于小波分析理论的平面五杆机构路径综合方法。小波变换分析用于从基本维数类型(BDTs)数据库中提取小波特征参数(WCPs)。将数值图谱方法与多维搜索树相结合,得到一棵深度为5的四维搜索树,其中叶节点数为4096个,每个节点存储59787组BDTs数据库号。同时,建立索引关键词数据库。通过将指定曲线的 WCP 与索引关键字进行比较,找到所需机制所在的叶节点。提取叶节点BDT的WCP,建立动态自适应图谱数据库。根据设计要求,通过模糊识别可以得到期望的机理。然后,建立数学模型来计算所需机构的实际尺寸。实现了五杆机构的任意设计区间路径合成。给出了两个例子来证明所提出方法的准确性和实用性。
更新日期:2020-05-24
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