Abstract
In order to achieve high punching precision, good operational reliability and low manufacturing cost, the structural optimization of a high-speed press in the presence of a set of available alternatives comprises a heterogeneous multiple-attribute decision-making (HMADM) problem involving deviation, fixation, cost and benefit attributes that can be described in various mathematical forms due to the existence of multi-source uncertainties. Such a HMADM problem cannot be easily resolved by existing methods. To overcome this difficulty, a new heterogeneous technique for order preference by similarity to an ideal solution (HTOPSIS) is proposed. A new approach to normalization of heterogeneous attributes is proposed by integrating the possibility degree method, relative preference relation and the attribute transformation technique. Expressions for determining positive and negative ideal solutions corresponding to heterogeneous attributes are also developed. Finally, alternative structural configurations are ranked according to their relative closeness coefficients, and the optimal structural configuration can be determined. The validity and effectiveness of the proposed HTOPSIS are demonstrated by a numerical example. The proposed HTOPSIS can also be applied to structural optimization of other complex equipment, because there is no prerequisite of independency among various attributes for its application.
Highlights
The high-speed press is a kind of automatic punching machine tool equipped with a high-speed automatic feeding device for metal sheet that is capable of continuously punching at a high speed.It has been widely applied in the automotive, aerospace and instrument industries due to its advantage of clean and green production
To achieve high punching precision, good operational reliability and low manufacturing cost for a high-speed press, we previously investigated the constrained interval multi-objective optimization of the slider mechanism based on interval analysis and NSGA-II [27], the robust optimization of the slider mechanism based on normalized violation degree of interval constraint [28] and the reliability-based design optimization of the upper beam [29], in which the uncertainties in the material properties were described as interval parameters and the manufacturing costs were evaluated by the weights of key components
The structural optimization problem of a high-speed press with multi-source uncertainties was defined as a heterogeneous multiple-attribute decision-making (HMADM) model involving deviation, fixation, benefit and cost attributes
Summary
The high-speed press is a kind of automatic punching machine tool equipped with a high-speed automatic feeding device for metal sheet that is capable of continuously punching at a high speed. Structural optimization of the high-speed press is very important in the early design phase, for the purposes of achieving high punching precision, good operational reliability, and low manufacturing cost [2], which constitute a multiple-attribute decision-making (MADM) problem when a set of configurations are provided for evaluation against multiple attributes [3]. The natural frequencies of the key components closest to the punching and working frequencies can be chosen as the attributes for evaluating the operational reliability of the high-speed press, which are deviation attributes that can be described as interval numbers due to material uncertainties and manufacturing errors. A new approach for method relies on TOPSIS, considering its advantages over other MADM methods, and is normalizing heterogeneous attributes is proposed based on vector transformation by integrating the named heterogeneous TOPSIS (HTOPSIS) for the sake of brevity.
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