Abstract
Abstract. In this paper, the machining principle of variable hyperbolic circular-arc-tooth-trace (VH-CATT) cylindrical gears is analysed, and a modular configuration design of this special machine tool is carried out. Based on the importance of parameter and knowledge dependence of rough set theory, the degree of influence of the index hidden in the data on the decision-making results is mined, and an algorithm for calculating the objective weight of the index is given. The comprehensive weight of the index is then obtained, combining the analytic hierarchy process. After obtaining the results of the index's comprehensive weight and module attribute classification, a module retrieval strategy is formulated using the fuzzy similarity priority ratio algorithm. Based on the modular division of this special gear-making machine tool, the modular configuration sequence of the machine tool using the depth-first search algorithm is determined. According to the module retrieval strategy and configuration sequence, a traversal of module instances is carried out, and a variety of modular configuration schemes of the machine tool is obtained, which provides a practical and efficient method for the rapid design of a special machine tool for VH-CATT cylindrical gears.
Highlights
A variable hyperbolic circular-arc-tooth-trace (VH-CATT) cylindrical gear is a new type of transmission form
From the perspective of rough set theory, this paper proposes an algorithm to calculate the objective weight of each indicator according to parameter importance and knowledge dependence, which is combined with an analytic hierarchy process (AHP) to obtain a more ideal comprehensive weight, which can greatly improve the accuracy of the weight calculation (Sun, 2013; Wu, 2007) and improve the universality of this method
The main idea of calculating index weights based on knowledge dependence weight (KDW) is to research the knowledge dependence theory according to rough set theory (Bai et al, 2021; Naouali et al, 2020)
Summary
A variable hyperbolic circular-arc-tooth-trace (VH-CATT) cylindrical gear is a new type of transmission form. The research on the key technologies of the modular configuration design of a special machine tool for VHCATT cylindrical gears has important theoretical value for enhancing the market competitiveness of new gears, shortening the product design and development cycle, reducing the product production costs and improving the production capacity of enterprises. Lou et al (2006) proposed that product configuration design could be considered a product design process to meet customers’ personalized needs through reasonable matchings and combinations based on a predefined product configuration model of each component set and mutual constrained relationship. The modules are retrieved based on rough set theory and the fuzzy similarity priority ratio algorithm, instanced and traversed according to the configuration sequence and a machine tool module configuration scheme is obtained.
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