基于变权法的下死点精度模糊综合评价
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摘要
下死点动态精度是评价压力机性能的一项重要指标。为了全面地评价压力机下死点动态精度,引入变权法,提出了一种基于层次分析法的模糊综合评价体系。该体系以下死点重复精度、下死点位移漂移量、下死点位移均方差为评价指标,运用基于几何平均的AHP解决可能出现的逆序问题,利用梯形分布函数确定隶属度。同时,引入变权法调整各指标权重以解决因经典AHP权值固定而导致评价结果对低指标值项不敏感的问题。最后,以某型高速压力机为研究对象,运用该方法评价了其下死点精度。结果表明,该方法能突出评价值较低的指标,经调权后其权重变化率最高可达76.61%,增强了评价的合理性。
The dynamic precision of bottom dead center( BDC) is an important indicator to evaluate the performance of mechanical press.In order to comprehensively evaluate the BDC precision of press,variable weight method was introduced,and a fuzzy comprehensive evaluation system based on Analytic Hierarchy Process( AHP) was proposed. Taking the repeat accuracy,drift offset and mean square error of displacement of slider BDC as the evaluation index,the possible reversal issues was solved by geometric-weighted AHP,and the degree of membership was determined by trapezoidal distribution function. In the meanwhile,each index weight was adjusted by the variable weight method to solve the problem that the evaluation result was not sensitive to the index with low scores due to the fixed weights of classical AHP. In the end,for a certain type of high-speed press,the precision of BDC was evaluated. The result shows that this method can highlight the index with low scores,and the change rate of its weight can up to 76. 61% after applying variable weight method. Thus,the rationality of evaluation is enhanced.
The dynamic precision of bottom dead center( BDC) is an important indicator to evaluate the performance of mechanical press.In order to comprehensively evaluate the BDC precision of press,variable weight method was introduced,and a fuzzy comprehensive evaluation system based on Analytic Hierarchy Process( AHP) was proposed. Taking the repeat accuracy,drift offset and mean square error of displacement of slider BDC as the evaluation index,the possible reversal issues was solved by geometric-weighted AHP,and the degree of membership was determined by trapezoidal distribution function. In the meanwhile,each index weight was adjusted by the variable weight method to solve the problem that the evaluation result was not sensitive to the index with low scores due to the fixed weights of classical AHP. In the end,for a certain type of high-speed press,the precision of BDC was evaluated. The result shows that this method can highlight the index with low scores,and the change rate of its weight can up to 76. 61% after applying variable weight method. Thus,the rationality of evaluation is enhanced.
引文
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[2]鹿新建,柯尊芒,朱思洪,等.高速精密压力机下死点精度研究[J].锻压技术,2010,35(1):87-92.Lu X J,Ke Z M,Zhu S H,et al.Research on bottom dead center(BDC)of high speed precision press[J].Forging&Stamping Technology,2010,35(1):87-92.
[3]管培鹏,赵宇,吴洪涛.高速压力机传动系统对下死点精度影响的研究[J].锻压装备与制造技术,2011,46(6):79-83.Guan P P,Zhao Y,Wu H T.Study on influence of transmission system on accuracy of bottom dead center(BDC)[J].Forging Equipment&Manufacturing Technology,2011,46(6):79-83.
[4]胡峰峰,王尚斌,孙宇,等.运动副间隙对多连杆压力机下死点精度的影响[J].机械科学与技术,2014,33(9):1304-1308.Hu F F,Wang S B,Sun Y,et al.Effect of the joints clearance on the precision of bottom dead center for multi-rod mechanical press[J].Mechanical Science and Technology for Aerospace Engineering,2014,33(9):1304-1308.
[5]王晓东,鹿新建,肖政,等.高速压力机下死点测试及数据分析[J].锻压装备与制造技术,2008,43(2):37-39.Wang X D,Lu X J,Xiao Z,et al.The bottom dead point test and data analysis of high-speed press[J].Forging Equipment&Manufacturing Technology,2008,43(2):37-39.
[6]宋恭杰,潘晓彬.基于模糊层次分析法的冲床下死点定位精度评价[J].锻压技术,2014,39(6):85-89.Song G J,Pan X B.Evaluation of bottom dead center positioning precision for mechanical press based on fuzzy analytic hierarchy process[J].Forging&Stamping Technology,2014,39(6):85-89.
[7]朱克毓.模糊AHP的无效性与基于几何加权的AHP方法研究[D].合肥:合肥工业大学,2012.Zhu K Y.The Study on the Invalidity of Fuzzy AHP and a Weighted Geometric Method of AHP[D].Hefei:Hefei University of Technology,2012.
[8]Saaty T L.Analytic Hierarchy Process[M].Hoboken:Encyclopedia of Bio-statistics,2013.
[9]张吉军.模糊层次分析法(FAHP)[J].模糊系统与数学,2000,14(2):80-88.Zhang J J.Fuzzy analytical hierarchy process[J].Fuzzy Systems and Mathematics,2000,14(2):80-88.
[9]彭祖赠,孙韫玉.模糊(Fuzzy)数学及其应用[M].2版.武汉:武汉大学出版社,2007.Peng Z Z,Sun Y Y.Fuzzy Mathematics and Its Application[M].2nd Edition.Wuhan:Wuhan University Press,2007.
[11]Wei C C,Chien C F,Wang M J J.An AHP-based approach to ERP system selection[J].International Journal of Production Economics,2005,96(1):47-62.
[12]李德清,李洪兴.变权决策中变权效果分析与状态变权向量的确定[J].控制与决策,2004,19(11):1241-1245.Li D Q,Li H X.Analysis of variable weights effect and selection of appropriate state variable weights vector in decision making[J].Control and Decision,2004,19(11):1241-1245.
[13]封志明,殷国富.基于层次分析法的数控机床精度模糊评价[J].高技术通讯,2014,24(2):183-188.Feng Z M,Yin G F.Fuzzy comprehensive evaluation of the accuracy of CNC machine tools Based on AHP[J].Chinese High Technology Letters,2014,24(2):183-188.