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考虑结合部特征的ϕ150 mm口径反射镜模型修正

崔鼎 邓兆祥 叶长春 鲜玉强

崔鼎, 邓兆祥, 叶长春, 等. 考虑结合部特征的ϕ150 mm口径反射镜模型修正[J]. 强激光与粒子束, 2019, 31: 091001. doi: 10.11884/HPLPB201931.190012
引用本文: 崔鼎, 邓兆祥, 叶长春, 等. 考虑结合部特征的ϕ150 mm口径反射镜模型修正[J]. 强激光与粒子束, 2019, 31: 091001. doi: 10.11884/HPLPB201931.190012
Cui Ding, Deng Zhaoxiang, Ye Changchun, et al. Model updating of a ϕ150 mm mirror including joint parts[J]. High Power Laser and Particle Beams, 2019, 31: 091001. doi: 10.11884/HPLPB201931.190012
Citation: Cui Ding, Deng Zhaoxiang, Ye Changchun, et al. Model updating of a ϕ150 mm mirror including joint parts[J]. High Power Laser and Particle Beams, 2019, 31: 091001. doi: 10.11884/HPLPB201931.190012

考虑结合部特征的ϕ150 mm口径反射镜模型修正

doi: 10.11884/HPLPB201931.190012
基金项目: 

军委科技委国防科技创新特区资助项目 C-2017-JKW-14

详细信息
    作者简介:

    崔鼎(1986—), 男,博士研究生,助理研究员,从事光机结构设计与优化研究;cdguycui2003@aliyun.com

  • 中图分类号: TB122;TH128

Model updating of a ϕ150 mm mirror including joint parts

  • 摘要: 针对ϕ150 mm口径反射镜受结合部的非线性因素影响导致结构分析模型精度较差的问题,提出了线性的动力学等效建模与参数修正方法。首先,在实际装配和约束环境下测试并获得了反射镜结构的试验模态参数。然后,根据界面结合部的动力学特征,对反射镜结构按照镜框固定连接模型、镜面螺钉夹持模型以及间隙等效模型进行了等效建模。最后,以试验模态参数为修正目标,采用优化方法对反射镜结构的动力学等效模型进行了参数修正,并采用模型分层和分步修正的思路,依据结合部特征将修正模型细分为两部分,提高模型参数的修正效率。结果表明,参数修正后的固有频率平均误差为1.5%,模态置信度均大于0.8,提升了反射镜结构的动力学模型精度,验证了线性化等效建模方法的正确性。
  • 图  1  反射镜模型

    Figure  1.  Schematic diagram of the reflective mirror

    图  2  反射镜的试验模态振型

    Figure  2.  Experimental modal shapes

    图  3  反射镜的有限元模型

    Figure  3.  Finite element model of the reflective mirror

    图  4  反射镜的模型参数修正过程

    Figure  4.  Flow chart of model updating for reflective mirror

    图  5  整体装配模型的灵敏度分析

    Figure  5.  Sensitivity analysis of the assembly model

    表  1  初始模型的计算误差

    Table  1.   Calculation errors of the initial model

    order frequency/Hz frequency error/% MAC
    experimental model initial model
    1 147.6 145.2 1.6 0.98
    2 185.4 171.2 7.7 0.92
    3 343.1 374.1 9.0 0.92
    4 657.6 640.2 2.6 0.67
    5 734.7 687.1 6.5 0.46
    下载: 导出CSV

    表  2  修正变量的初值与修正结果

    Table  2.   Initial value and modified results

    variable E1 /MPa E2 /MPa R/mm E3 /MPa E4/MPa K1 /(N·mm-1) K2 /(N·mm-1) K3 /(N·mm-1) K4 /(N·mm-1)
    initial value 100 2×106 14 3×104 1.5×104 1×103 1×104 1×103 1×103
    modified value 120 8.2×106 18 2.63×104 8.3×103 800 1.92×104 1.45×103 1×105
    下载: 导出CSV

    表  3  镜框固定连接模型的修正结果

    Table  3.   Modified results of the fixed connection model

    No. frequency/Hz frequency error/% MAC
    experimental model updated model
    1 211.4 217.5 2.9 0.99
    2 244.2 249 2.0 0.99
    3 562.6 571.4 1.6 0.94
    4 751.1 759.2 1.1 0.99
    5 1 197.6 1 174.9 1.9 0.87
    6 1 688.5 1 636.6 3.1 0.96
    7 1 843.2 1 816.9 1.4 0.90
    下载: 导出CSV

    表  4  整体装配模型的模型修正结果

    Table  4.   Modified results of the assembly model

    No frequency error/% MAC
    1st step 2nd step 3rd step 1st step 2nd step 3rd step
    1 0.06 0.06 0.06 0.98 0.98 0.98
    2 7.1 4.1 4.8 0.92 0.92 0.92
    3 0.2 0.15 2.4 0.95 0.95 0.95
    4 0.09 5.4 0.09 0.75 0.87 0.98
    5 4.6 1.5 0.008 0.44 0.81 0.82
    下载: 导出CSV
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出版历程
  • 收稿日期:  2019-01-14
  • 修回日期:  2019-03-27
  • 刊出日期:  2019-09-15

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