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论文:2019,Vol:37,Issue(6):1085-1094 |
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引用本文： |
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黄德东, 温晶晶, 邢亮亮, 卫国宁, 吴斌. 半正弦波形发生器的非线性动力学模型及模型参数标定方法研究[J]. 西北工业大学学报 |
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HUANG Dedong, WEN Jingjing, XING Liangliang, WEI Guoning, WU Bin. Study on a Nonlinear Dynamic Model and Its Parameters Determination Method for Half-Sine Programmer[J]. Northwestern polytechnical university |
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| 半正弦波形发生器的非线性动力学模型及模型参数标定方法研究 |
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| 黄德东1,2, 温晶晶1,2, 邢亮亮3, 卫国宁4, 吴斌1 |
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1. 西北工业大学 航天学院, 陕西 西安 710072;
2. 西北工业大学 青岛研究院, 山东 青岛 266200;
3. 航天科工集团二院二部, 北京 100854;
4. 上海宇航系统工程研究所, 上海 201109 |
| 摘要: |
| 借鉴有阻尼达芬方程、圆柱形橡胶隔振器的静刚度和冲击刚度经验公式，建立了预测半正弦波形发生器冲击波形的非线性动力学模型。该模型综合考虑了半正弦波形发生器的尺寸、硬非线性、阻尼、冲击初速度等复杂因素。结合冲击试验机和龙格库塔方法，给出了半正弦波形发生器冲击波形的测量和计算方法。以预测波形和实测波形的确定系数最小为优化目标，采用量子遗传算法对模型中的相关参数进行反辨识，同时也验证了该非线性模型针对半正弦波形发生器在冲击激励下的动力学行为的极限描述能力。结果表明，所建立的模型精度较高，其中峰值和脉宽误差均在5%以下，波形拟合误差小于15%。该模型及参数反辨识方法有助于精确地设计半正弦波形发生器。 |
| 关键词:
冲击试验
半正弦波形发生器
非线性动力学
量子遗传算法
参数反辨识
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| Study on a Nonlinear Dynamic Model and Its Parameters Determination Method for Half-Sine Programmer |
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| HUANG Dedong1,2, WEN Jingjing1,2, XING Liangliang3, WEI Guoning4, WU Bin1 |
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1. School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, China;
2. Qingdao Research Institute, Northwestern Polytechnical University, Qingdao 266200, China;
3. Beijing Institute of Electronic System Engineering, Beijing 100854, China;
4. Shanghai Aerospace System Engineering, Shanghai 201109, China |
| Abstract: |
| A nonlinear dynamic model for describing shock response of half-sine programmer in shock test is constructed, in which many important factors in half-sine programmer such as size, hard nonlinearity, damping and initial impact velocity are considered, based on the damped Duffing equation, and the empirical static stiffness and shock stiffness calculation formulas of cylindrical rubber isolator. The shock pulse of half-sine programmer is measured and calculated by using shock test machine and Runge-Kutta method. Taking the minimum determination coefficient between the calculated and the measured shock pulse as the optimization objective, the parameters in the present model are determined by using quantum genetic algorithm (QGA), and meanwhile the extreme capacity in the present model for describing the dynamic behavior of half-sine programmer under shock excitations can also be verified. Experiments were implemented with drop shock test machine. The experimental results show that the present model is precise and efficient, and the prediction errors of pulse peaks and pulse widths were all below 5%, the waveform fitting errors between the calculated and the measured pulses are all less than 15%. The present results are helpful for designing the half-sine programmer. |
| Key words:
shock test
half-sine programmer
nonlinear dynamics
QGA
parameters determination
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| 收稿日期: 2018-11-10
修回日期:
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| DOI: 10.1051/jnwpu/20193761085 |
| 基金项目: 西北工业大学博士论文创新基金（CX201902）、国家自然科学基金青年项目（11702224）和陕西省自然科学基金青年项目（2018JQ1062）资助 |
| 通讯作者: 温晶晶(1990-),西北工业大学博士研究生,主要从事飞行器结构设计研究。e-mail:wjj1990@mail.nwpu.edu.cn
Email：wjj1990@mail.nwpu.edu.cn |
| 作者简介: 黄德东(1982-),西北工业大学讲师,主要从事质量特性测试技术研究。
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