大展弦比带外挂机翼的颤振分析

许军; 马晓平

doi:10.13433/j.cnki.1003-8728.2015.0429

大展弦比带外挂机翼的颤振分析

doi: 10.13433/j.cnki.1003-8728.2015.0429

许军¹,
马晓平^2, ,

1.
西北工业大学航空学院, 西安 710072;
2.
西北工业大学无人机研究所, 西安 710065

基金项目:

陕西省自然科学基金项目（2013JM015）资助

详细信息

作者简介:
许军（1987-），博士研究生，研究方向为无人机气动弹性，xujun_0516@126.com

通讯作者:
马晓平，研究员，博士生导师，maxiaoping@nwpu.edu.cn

计量
- 文章访问数: 178
- HTML全文浏览量: 28
- PDF下载量: 7
- 被引次数: 0
出版历程
- 收稿日期: 2013-09-16
- 刊出日期: 2015-04-05

Flutter Analysis of a High-aspect-ratio Wing with External Store

Xu Jun¹,
Ma Xiaoping^{2
, ,}

1.
School of Aeronautics, Northwestern Polytechnical University, Xi'an 710072;
2.
UAV Research Institute, Northwestern Polytechnical University, Xi'an 710065

摘要

摘要: 基于哈密顿原理推导建立大展弦比带外挂机翼的动力学方程。为了分析大展弦比机翼特性，考虑了大展弦比机翼的平面内弯曲效应，将传统机翼的弯扭动力学方程扩展到大展弦比机翼的弯弯扭方程；利用Dirac函数考虑外挂位置的影响；采用拉格朗日乘子的方法考虑梁模型轴向不可伸缩约束。引入无量纲化参数对动力学方程进行无量纲化处理。基于梁模型的边界条件，利用伽辽金方法及主振型的正交性将偏微分方程离散为常微分方程，并改写成矩阵和状态方程的形式。利用K方法进行颤振计算，分析外挂参数如外挂质量、位置和转动惯量对机翼外挂系统颤振速度的影响，并分析了各种速度条件下的响应历程。
- 颤振 /
- 大展弦比 /
- 机翼外挂 /
- 哈密顿原理 /
- 平面内弯曲 /
- 伽辽金方法 /
- 拉格朗日乘子
Abstract: The kinetic equation of the high-aspect-ratio wing with an external store is derived based on Hamilton's principle. This paper considers the in-plane bending of the high-aspect-ratio, and extends the bending-torsion motion of the traditional wing to bending-bending-torsion motion of the high-aspect-ratio wing. Dirac function is used to precisely consider the location and properties of the external store. The constraint of the beam is considered with the Lagrange multiplier method. The dimensionless dynamic equation is conducted by the introduction of dimensionless parameters. The Galerkin method is subsequently applied to convert to partial differential equations into a set of ordinary differential equations. The flutter is calculated with the K method. The linear system simulation results are presented to show the linear flutter velocity and then the effects of the store properties, such as location and mass on the wing store linear flutter velocity are also given.
- flutter /
- high-aspect-ratio /
- Galerkin methods /
- Hamilton's principle /
- in-plane bending /
- Lagrange multipliers /
- wing store

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参考文献(14)

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