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| 单纯形法下的开槽管型药柱恒面燃烧规律研究 |
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相升海1, 魏开新1,2, 李世鹏3, 唐恩凌4, 李文博4, 王 衡5, 徐文龙1
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(1.沈阳理工大学装备工程学院，辽宁 沈阳 110159; 2.北京北方车辆集团有限公司,北京 100072;3.北京理工大学宇航学院,北京 100081; 4.大连理工大学数学科学学院,辽宁 大连 116024 ;5.上海理工大学机械工程学院,上海 200093)
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| 摘要: |
| 为了得到开槽管型药柱的近于恒面的燃烧规律,建立数学模型,选择燃烧面积的方差作为目标函数,应用解析式方法进行分析研究,并基于单纯形法,同时改变多个设计变量,对开槽管型药柱进行优化。结果表明:设计变量内径、槽深值减小,可以使燃烧面积的变化率减小；端面弧槽半径值增大,可以降低开槽的难度；槽长值增大,可以使燃烧面积的变化率减小；目标函数值的波动幅度减小,使燃烧面积的变化率减小,燃烧规律更趋于恒面性。 |
| 关键词: 开槽管型药柱 燃烧规律 固体火箭发动机 单纯形法 优化设计 |
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| 基金项目:国家自然科学基金项目(11272055)；辽宁省重点实验室科研基金(LS2010139)。 |
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| Study on Constant Burning Law for Slotted Tube Grain Based on Simplex Method |
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XIANG Sheng-hai1, WEI Kai-xin1,2, LI Shi-peng3, TANG En-ling1, LI Wen-bo4,WANG Heng5, XU Wen-long1
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(1. School of Equipment Engineering, Shenyang Ligong University, Shenyang 110159,China;2.Beijing North Vehicle Group Corporation,Beijing 100072,China;3. School of Aerospace Institute, Beijing Institute of Technology, Beijing 100081,China;4. School of Mathematical Sciences, Dalian University of Technology, Dalian 116024,China;5. School of Mechanical Engineering, University of Shanghai for Science and Technology, Shanghai 20093, China)
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| Abstract: |
| In order to get the nearly neutral burning law, mathematical model was propesed.The variance of burning law was selected as the objective function, and the burning law for slotted tube grain was studied by the method of analytic formulae. Based on simplex method, slotted tube grain was optimized by changing the multiple design parameters at the same time. The results show that the decrease of inner diameter and slot depth can decrease the rate of the change for burning area. The increase of the arc can reduce the difficulty of slotting and the increase of slot length can decrease the rate of the change for burning area. The decrease of the amplitude for objective function can decrease the rate of the change for burning area, and can make the burning law close to neutral. |
| Key words: Slotted tube grain Burning law Solid rocket motor Simplex method Optimal design CLC number:V435.21Document code:AArticle number:1001-4055(2013)10-1382-06 |
