变后掠翼的参变气动弹性建模与分析  

PARAMETER-VARYING AEROELASTIC MODELING AND ANALYSIS FOR A VARIABLE-SWEEP WING

作　　者：张立启 岳承宇 赵永辉[1] Zhang Liqi;Yue Chengyu;Zhao Yonghui(State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China)

机构地区：[1]南京航空航天大学机械结构力学及控制国家重点实验室,南京210016

出　　处：《力学学报》2021年第11期3134-3146,共13页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金资助项目(11472128)。

摘　　要：参变气动弹性建模是可变后掠翼气动弹性研究中的难点之一.当地建模技术是一种构造线性参变(LPV)模型的实用方法,但一直缺乏有效途径来解决当地气动弹性模型的不一致问题.气动弹性模型的不一致性体现在当地结构动力学模型和非定常气动力模型随参数变化的不连续性.本文提出了一种自下而上的方法,对变后掠翼不一致的当地气动弹性模型进行了一致性处理.首先,采用匈牙利算法跟踪结构模态并按模态分支进行排序,使得匹配后的模态能够保证结构动力学模型的一致性;其次,对有理函数拟合表达式中的系数矩阵进行缩放处理,解决了空气动力系数矩阵的不一致问题.采取上述两项措施后,最终生成了一致的当地状态空间气动弹性模型.这样,对一致的状态空间模型进行插值,就可快速生成任意后掠角下的气动弹性模型,使得系统的稳定性分析和慢参变响应计算得以高效进行.数值仿真结果验证了一致性处理的必要性:未经一致性处理的原始模型经插值后得到的模型会出现严重的模型误差.本文为变后掠翼的参变气动弹性系统建模提供了一种实用、准确和高效的建模方法.Establishing a parameterized aeroelastic model is one of the obstacles in aeroelastic research of the variablesweep wing. The local modeling technology is widely known as a practical method for constructing a linear parameter varying(LPV) model. However, there has been a lack of effective methods to deal with the incoherency of the local aeroelastic models. The inconsistency of the local aeroelastic models is reflected in the discontinuity of the local structural and aerodynamic models with the change of the system parameters. To solve this problem, this paper proposed a bottom-up coherent processing method to deal with the incoherent local aeroelastic models of the variable-sweep wing.Firstly, the Hungarian algorithm was used to track the structural modes and sort them according to the modal branches. In this way, the matched modes can ensure the coherency of the structural models;Next, the incoherent problem of the aerodynamic model was solved by introducing a scaling matrix in the expression of rational functional approximation,such that the aerodynamic coefficient matrices were written in a coherent form. After the above two steps, the resulting local state-space models have a coherent form, and the aeroelastic state-space model at arbitrary swept angle can be constructed quickly by interpolating the coherent local state-space models, so the computations for the aeroelastic stability and the slow time-varying responses can be performed effectively. Simulation results demonstrated that the model obtained by interpolating on the incoherent aeroelastic models will lead to great modeling errors, while the one obtained by interpolating on the coherent local models can produce an accurate aeroelastic model at any given swept angle of the wing. This paper provides a useful, accurate and efficient modeling method of the parameter-varying aeroelastic system for the variable-sweep wing.

关 键 词：变后掠翼 参变气动弹性建模 一致的状态空间模型 气动弹性响应 

分 类 号：V211.47[航空宇航科学与技术—航空宇航推进理论与工程]