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本文引用格式:张忠源,段静波,路平,王龙.基于传递函数法的带外挂大柔性机翼颤振分析[J].动力学与控制学报,2019,17(3):224~233;   Zhang Zhongyuan,Duan Jingbo,Lu Ping,Wang Long.Flutter analysis of a flexible wing with external stores by transfer function method[J].Journal of Dynamics and Control,2019,17(3):224-233.
基于传递函数法的带外挂大柔性机翼颤振分析    点此下载全文
张忠源  段静波  路平  王龙
陆军工程大学石家庄校区 无人机工程系, 石家庄 050003,石家庄铁道大学 工程力学系, 石家庄 050003,陆军工程大学石家庄校区 无人机工程系, 石家庄 050003,武警新疆总队直升机大队, 乌鲁木齐 830017
基金项目:国家自然科学基金资助项目(11702325)
DOI:10.6052/1672-6553-2018-056
摘要:
      基于带外挂大柔性机翼结构和气动特点,使用带有半解析半数值特性的传递函数方法进行处理.首先,将变形后的柔性机翼视为曲梁,基于曲梁的运动微分方程,结合传递函数方法,将曲梁运动微分方程整理成状态空间方程形式.然后,借鉴有限元方法的思想将单元进行组集,组集时结合机翼挂载处内力平衡和位移协调条件,得到了机翼整体平衡方程,结合求解复特征值的方法,完成了带外挂大展弦比大柔性机翼的动气动弹性稳定性分析.对比通过有限元方法得到的仿真结果,证实了文章提出计算方法的准确性和高效性.文章结尾,分析了外挂质量、转动惯量、位置分布及数量等变量对带外挂大展弦比大柔性机翼的动气动弹性稳定性的影响.
关键词:大展弦比,柔性机翼,外挂,颤振,传递函数法
Flutter analysis of a flexible wing with external stores by transfer function method    Download Fulltext
Zhang Zhongyuan  Duan Jingbo  Lu Ping  Wang Long
Fund Project:
Abstract:
      Transfer function method was employed to study the flutter of high aspect ratio flexible aircraft wings carrying external stores. Firstly, the flexible wing was modeled as a curve beam, and the flutter differential equations of a curve beam element were established. Further, by using the transfer function method, the differential equations were formulated in a state space form. Moreover, considering the deformation compatibility and internal force balance at the position of the external store, the governing equations of the whole wing were obtained by element assembling. ,Both the flutter velocity and flutter frequency were obtained by solving complex eigenvalue equations. The results are good agreement with finite element analysis, which indicates that the present method is accurate and efficient for flutter analysis of the flexible wing. Finally, the effects of the mass, moment inertia, number and position of the external store on the aeroelastic characteristics of the flexible wing were investigated.
Keywords:high-aspect-ratio,flexible wing,the external store,flutter,transfer function method
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