基于响应曲面法与满意度函数的柔顺机构多响应稳健参数设计
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摘要
针对微指针放大柔顺机构在进行作业测量时,其柔性铰链部件在受到外界变载荷作用下柔度存在不稳定的实际情况,引入基于响应曲面法与满意度函数的多响应稳健参数优化设计。首先构建微指针放大柔顺机构的柔性铰链稳健参数设计模型,运用Minitab的中心复合有界设计模块对模型进行试验设计,获取试验数据;进而利用响应曲面法对试验数据进行分析,得到各显著性因子项,并对各响应值进行模型拟合;其次对拟合响应曲面模型的精度进行检验;最后采用满意度函数法,将多响应问题转变为求复合满意度函数加权几何平均值最大化的单响应问题,进而得到多响应稳健参数设计的最优方案。案例表明,该方法能够实现提高柔性铰链稳健性与精确性的目标,为柔性铰链的稳健参数设计提供了新的解决方案。
引文
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[14]于映,丁可柯,花婷婷,薄亚明,张明,张彤.微旋转结构法测量Al薄膜的残余应力[J].南京邮电大学学报(自然科学版),2014,34(1):32-34.
[15]赵秀婷,张文明,申焱华,范进桢.基于偏好聚合不精确法的湿式制动器稳健设计[J].机械设计与研究,2007,23(1):22-26.
[2]Ben-Haim Y.A non-probabilistic concept of reliability[J].Structural Safety,1994,14(4):227-245.
[3]Feng Y.Enumerating significant failure modes of a structural system by using criterion methods[J].Computer&Structure,1988,30(5):1153-1157.
[4]胡俊峰,徐贵阳,郝亚洲.基于动态特性的复合桥式微动平台优化设计[J].农业机械学报,2014,45(1):306-312.
[5]占金青,张宪民.基于基础结构法的柔顺机构可靠性拓扑优化[J].机械工程学报,2010,46(13):42-47.
[6]Nicolae Lobontiu.Corner-Filleted Flexure Hinges[J].Journal of Mechanical Design,2001,123(3):346-352.
[7]童云华,王海.用于薄膜残余应力检测的微指针放大机构[J].安徽工程大学学报,2012,27(2):58-62.
[8]DERRINGER,D.Simultaneous optimization of several response variables[J].J Quality Technol,1980,12(4):214-219.
[9]Lee,Myeong-Soo.Expected desirability function:consideration o f b o t h l o c a t i o n a n d d i s p e r s i o n e f f e c t s i n d e s i r a b i l i t y function approach.[J].Quality Technology&Quantitative Management,2007,4(3):365-377.
[10]Russell V Lenth.Experiments:Planning,Analysis,and Parameter Design Optimization[J].Publications of the American Statistical Association,2000,97(458):654-654.
[11]Ful-Chiang Wu.Optimization of Correlated Multiple Quality Characteristics Using Desirability Function[J].Quality Engineering,2004,17(1):119-126.
[12]Kwang-Jae Kim.Optimization of multiple responses considering both location and dispersion effects[J].European Journal of Operational Research,2007,169(1):133-145.
[13]任宁,田国豪,欧开良,王长路,周峰.倒圆角直梁型柔性铰链刚度研究[J].机械强度,2012,(3):366-370.
[14]于映,丁可柯,花婷婷,薄亚明,张明,张彤.微旋转结构法测量Al薄膜的残余应力[J].南京邮电大学学报(自然科学版),2014,34(1):32-34.
[15]赵秀婷,张文明,申焱华,范进桢.基于偏好聚合不精确法的湿式制动器稳健设计[J].机械设计与研究,2007,23(1):22-26.