摘要

在自适应波前校正过程中, 变形镜（DM）受驱动器循环机械驱动作用会产生疲劳累积损伤。利用DM的影响函数和最小二乘法对波前校正过程进行模拟, 采用有限元方法分析了DM在波前校正过程中的应力分布, 并结合Miner疲劳累积损伤理论, 计算了DM的疲劳寿命。在此基础上, 重点讨论了DM结构参数对影响函数和DM疲劳寿命的影响。研究结果表明, 对于给定的畸变波前, 当DM极头数相同时, 极头采用三角形排布方式时DM的交连值最小, 疲劳寿命最长; 极头采用正方形排布方式时DM的交连值最大, 疲劳寿命最短。此外, 当极头间距增大时, DM交连值会随之减小, 致使DM的疲劳寿命变长。当极头间距相同时, 增大极头半径和缩短极头长度会使DM的交连值变小, DM的疲劳寿命也会变短。极头间距变化对DM疲劳寿命的影响程度大于极头半径和长度;当极头间距一定时, 不同的排布方式对应的极头数目不同, DM的极头数越多, 疲劳寿命就越短。

Abstract

The cumulative fatigue damage of deformable mirrors (DMs) is generated due to the action of the circular mechanical drive of the actuators in the process of adaptive wavefront correction. The wavefront correction process of the DM has been simulated by the least squares method and the influence function of the DM, and the corresponding stress distribution of the DM in the wavefront correction process has also been analyzed by the finite element method. Additionally, the fatigue life of the DM has further been calculated with the Miner cumulative fatigue damage theory. On this basis, the influences of the structural parameters of the DM on the influence function and the fatigue life of the DM have been discussed. The results show that the coupling coefficient of the DM is minimal and the fatigue life is the longest when the poles are distributed in the triangular arrangement for the given distorted wavefront and the equal number of poles of the DM. However, the coupling coefficient of the DM is maximal and the fatigue life is the shortest when the poles are distributed in the square arrangement. Furthermore, the coupling coefficient of the DM decreases with the increasing pole spacing, resulting in the increasing fatigue life of the DM. Meanwhile, the coupling coefficient and the fatigue life of the DM decrease with the increasing pole radius and the decreasing pole length when the pole spacing is fixed. On the whole, the influence of the pole spacing on the fatigue life of the DM is more significant than that of the pole radius and length. Furthermore, for the given pole spacing, the number of the poles varies with pole distribution manners and the fatigue life of the DM decreases with the increasing number of poles.

补充资料

中图分类号：TP273.2;O439

DOI：10.3788/AOS201737.1001003

所属栏目：大气与海洋光学

基金项目：科技部创新人才推进计划(2014RA4051)、苏州大学省级重点实验室开放课题(KSJ1404)

收稿日期：2017-03-29

修改稿日期：2017-06-09

网络出版日期：--

作者单位    点击查看

联系人作者：罗帅(529951343@qq.com)

备注：罗 帅(1992-), 男, 硕士研究生, 主要从事变形镜疲劳损伤等方面的研究。

【1】Lin Xudong, Xue Chen, Liu Xinyue, et al. Current status and research development of wavefront correctors for adaptive optics［J］. Chinese Optics, 2012, 5(4): 337-351.
林旭东, 薛陈, 刘欣悦, 等. 自适应光学波前校正器技术发展现状［J］. 中国光学, 2012, 5(4)： 337-351.

【2】Chen Lixia, Hu Xiaochuan, Zhang Bin, et al. Fatigue damage characteristics of deformable mirrors for wavefront correction［J］. Chinese J Lasers, 2016, 43(11): 1105002.
陈丽霞, 胡小川, 张彬, 等. 波前校正变形镜的疲劳损伤特性［J］. 中国激光, 2016, 43(11)： 1105002.

【3】Xu Jinquan, Guo Fengming. Mechanism of fatigue damage evolution and the evolution law［J］. Journal of Mechanical Engineering, 2010, 46(2): 40-46.
许金泉, 郭凤明. 疲劳损伤演化的机理及损伤演化律［J］. 机械工程学报, 2010, 46(2)： 40-46.

【4】Yao Weixing. Fatigue life prediction of structure［M］. Beijing: National Defense Industry Press, 2004: 75-80.
姚卫星. 结构疲劳寿命分析［M］. 北京： 国防工业出版社, 2004： 75-80.

【5】Ni Kan. Advances in stochastic fatigue cumulative damage theory［J］. Advances in Mechanics, 1999, 29(1): 43-65.
倪侃. 随机疲劳累积损伤理论研究进展［J］. 力学进展, 1999, 29(1): 43-65.

【6】Peng Jiaqi, Hu Xiaochuan, Chen Lixia, et al. Effect of structural parameters of deformable mirrors on phase characteristics of high-power laser［J］. Acta Optica Sinica, 2015, 35(5): 0514001.
彭家琪, 胡小川, 陈丽霞, 等. 变形镜结构参数对高功率激光相位特性的影响［J］. 光学学报, 2015, 35(5): 0514001.

【7】Zhang Ming, Li Zhiyong, Cui Shuai, et al. Analysis on contatct fatigue life of aerospace bearing［J］. Mechaniacl Science and Technology for Aerospace Engineering, 2012, 31(6): 938-941.
张明, 李志勇, 崔帅, 等. 航空航天轴承接触疲劳寿命分析［J］. 机械科学与技术, 2012, 31(6): 938-941.

【8】Mi Chengji, Gu Zhengqi, Wu Wenguang, et al. Fatigue life analysis of rear axle housing of mining dump truck under random load［J］. Journal of Mechanical Engineering, 2012, 48(12): 103-109.
米承继, 谷正气, 伍文广, 等. 随机荷载下矿用自卸车后桥壳疲劳寿命分析［J］. 机械工程学报, 2012, 48(12): 103-109.

【9】Yu Shanmeng, Liu Ju, Jiang Fan, et al. Fatigue study for processing of space optical remote-sensor primary mirror［J］. Acta Photonica Sinica, 2012, 41(7): 771-775.
于善猛, 刘巨, 江帆, 等. 空间光学遥感器主镜加工过程中疲劳寿命研究［J］. 光子学报, 2012, 41(7): 771-775.

【10】Tyson R K. Using the deformable mirror as a spatial filter: Application to circular beams［J］. Applied Optics, 1982, 21(5): 787-793.

【11】Ma Xuemei, Han Kai, Zhang Bin. Prediction for wavefront correction effect of discrete deformable mirror based on filter function［J］. Acta Optica Sinica, 2014, 34(1): 0101002.
马雪梅, 韩开, 张彬. 基于滤波函数的分立变形镜波前校正效果预估［J］. 光学学报, 2014, 34(1)： 0101002.

【12】Zhou Renzhong. Adaptive optics［M］. Beijing: National Defence Industry Press, 1996: 252-257.
周仁忠. 自适应光学［M］. 北京： 国防工业出版社, 1996： 252-257.

【13】Tyson R K, Byrne D M. The effect of wavefront sensor characteristics and spatiotemporal coupling on the correcting capability of a deformable mirror［C］. SPIE, 1980, 228: 21-25.

【14】Yang Huafeng, Liu Guilin, Rao Changhui, et al. Spatial frequency analysis of wavefront compensation capabilities of deformable mirror［J］. High Power Laser and Particle Beams, 2007, 19(11): 1845-1848.
杨华峰, 刘桂林, 饶长辉, 等. 变形镜波前补偿能力的空间频域分析［J］. 强激光与粒子束, 2007, 19(11)： 1845-1848.

【15】Zhao Xiaopeng, Jiang Ding, Zhang Qiang, et al. Application of rain-flow counting method in the analysis of load spectrum［J］. Science & Technology Review, 2009, 27(3): 67-73.
赵晓鹏, 姜丁, 张强, 等. 雨流计数法在整车载荷谱分析中的应用［J］. 科学导报, 2009, 27(3)： 67-73.

【16】Chang Siwei, Zhao Xiangfei, Wang Baochao, et al. Fatigue analysis and simulation of gear based on ANSYS/FE-SAFE［J］. Development & Innovation of Machinery & Electrical, 2013, 26(3): 86-88.
常思伟, 赵向飞, 王宝超, 等. 基于ANSYS/FE_SAFE的齿轮弯曲疲劳仿真分析［J］. 机电产品开发与创新, 2013, 26(3): 86-88.

引用该论文

Luo Shuai,Chen Lixia,Zhang Bin. Influence of Structural Parameters of Deformable Mirror on Its Fatigue Life[J]. Acta Optica Sinica, 2017, 37(10): 1001003

罗 帅,陈丽霞,张 彬. 变形镜的结构参数对其疲劳寿命的影响[J]. 光学学报, 2017, 37(10): 1001003

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