升力体高超声速飞行器非定常滚转力矩建模研究

摘要

为了深入研究升力体高超声速飞行器相对薄弱的横侧向稳定性问题，对滚转自由振荡风洞试验数据进行了谱分析，建立了多个气动频率余弦和形式的非定常滚转力矩模型。由于升力体高超声速飞行器的滚转自由振荡曲线呈现非定常、非线性和一定的周期性特征，且对试验结果的谱分析发现，在多种气动状态下，都存在除机械振动频率外的三个振动频率，将滚转力矩表达为此三个频率余弦和的形式。该滚转非定常气动力矩数学模型捕捉了试验的基本趋势涵盖了其主要的量值范围，反映了升力体高超声速飞行器横向流场扰流的多尺度和周期性特征。%Thorough study of lateral stability of hypersonic lifting aircrafts needs exact ex-pression of aerodynamic roll moment.Spectrum analysis is carried out using roll free-oscillation wind-tunnel test data,and a mathematical model of roll moment is proposed as an expression by the sum of the cosine of the main frequencies from spectrum analysis.The roll test curves of hy-personic lifting model present non-linearity,non-steady and periodical characteristics,and the re-sults of spectrum analysis of roll vibration data under several different flow conditions show that they share three main vibration frequencies apart from the mechanical vibration frequency,which indicates that there are three scales of lateral separation or transition in the flow field.Compari-son of the mathematical model of roll moment constructed with the corresponding aerodynamic test data indicates,this model can capture the primary tendency of test curves,and cover the main magnitude domain of roll aerodynamic moment.The mathematical model gives prominence to the multi-scale and periodical characteristics of lateral flow field of hypersonic lifting model.