Reliability Analysis of Alumina-based Ceramic Cutting Tool's Wear Life by Saddlepoint Approximation

China Mechanical Engineering ›› 2010, Vol. 21 ›› Issue (12): 1462-1465.

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Reliability Analysis of Alumina-based Ceramic Cutting Tool's Wear Life by Saddlepoint Approximation

Jin Yajuan;Zhang Yimin;Zhang Yanlin

Northeastern University,Shenyang,110004

Online:2010-06-25 Published:2010-07-01
Supported by:

National High-tech R&D Program of China (863 Program) （No. 2007AA04Z442）;
National Natural Science Foundation of China（No. 50875039）

基于鞍点逼近的陶瓷刀具磨损寿命可靠性分析

金雅娟;张义民;张艳林

东北大学,沈阳,110004

基金资助:
国家863高技术研究发展计划资助项目(2007AA04Z442)；国家自然科学基金资助项目(50875039)
National High-tech R&D Program of China (863 Program) （No. 2007AA04Z442）;
National Natural Science Foundation of China（No. 50875039）

Abstract

Abstract:

Under continuous cutting conditions, the reliability of alumina-based ceramic cutting tool’s wear life with abrasion wear was discussed extensively.An ultimate state equation of alumina-based ceramic cutting tool’s wear life was proposed according to stress-strength interference theory.Based on the premise that the probability distribution of random parameters has been known, the fracture toughness

K_IC and the hardness H which obeys Weibull distribution were transformed into normal distribution by means of the equivalent normal distribution method, then the reliability of alumina-based ceramic cutting tool’s wear life was analyzed by saddlepoint approximation method. The probability density function and cumulative distribution function of the ultimate state equation were accurately and quickly obtained by way of saddlepoint approximation,as a result, the saddlepoint approximation method was proved accurate with high computing speed in comparison with the Monte-Carlo method. Therefore, the application of the saddlepoint approximation method developes the reliability analysis theory of alumina-based ceramic cutting tool’s wear life.

Key words: saddlepoint approximation;probability distribution;wear life, reliability analysis

摘要：

讨论了连续切削条件下以磨粒磨损为磨损失效模式的Al₂O₃基陶瓷刀具的磨损寿命可靠性问题。根据应力-强度干涉理论,建立了Al₂O₃基复相陶瓷刀具磨损寿命的极限状态方程。在基本随机参数概率分布已知的前提下,利用等效正态分布法,将服从Weibull分布的断裂韧度KIC和硬度H进行等效正态化,进而将鞍点逼近理论应用到陶瓷刀具磨损寿命的可靠性分析中,得到了极限状态方程的概率密度函数曲线和累积分布函数曲线,并且将鞍点逼近法得到的分析结果与Monte-Carlo数值分析结果进行了对比,结果表明,所述方法精度颇高、计算速率较高。



关键词:

鞍点逼近, 概率分布, 磨损寿命, 可靠性分析

CLC Number:

TB114.3

JIN Ya-Juan, ZHANG Xi-Min, ZHANG Yan-Lin.

Reliability Analysis of Alumina-based Ceramic Cutting Tool's Wear Life by Saddlepoint Approximation

[J]. China Mechanical Engineering, 2010, 21(12): 1462-1465.

金雅娟, 张义民, 张艳林.

基于鞍点逼近的陶瓷刀具磨损寿命可靠性分析

[J]. 中国机械工程, 2010, 21(12): 1462-1465.

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Reliability Analysis of Alumina-based Ceramic Cutting Tool's Wear Life by Saddlepoint Approximation

基于鞍点逼近的陶瓷刀具磨损寿命可靠性分析

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