摘要
为了对高超声速下飞行器薄壁结构的振动行为进行研究,建立了一种考虑传热时间迟滞影响的二维无限长薄板的热气动弹性耦合振荡模型.同时,给出了只考虑有限历史时间影响的板内温度分布表达式,并对提出的温度表达式的精确性进行了数学证明,从而将以往被忽略掉的热应力产生的板内力矩引入薄板振动方程.数值模拟结果表明:气动力是薄板振动的主要驱动力,板内力的作用相当于外部预紧力,而板内力矩的变化会驱使薄板进行小振幅振动.综合以上三种因素,对薄板在这三种因素耦合情况下的振动行为进行了研究,发现在来流马赫数较大时,薄板会进入十分复杂的振动状态.最后,通过非线性动力学理论对薄板的振动行为进行了分析,发现了薄板振动中的分岔、混沌等现象,以及通向该类现象的途径.
A two-dimensional infinite aerothermoelastic dynamic model of panel flutter,in which the heat transfer with time delay has been considered,was established to investigate the flutter behaviors of the panel structures of aircraft in hypersonic flow.In this study,a new model for the temperature distribution in the panel was presented considering only the finite temporal history effects,and proved mathematically for the accuracy.Then,the internal moment in the panel,which is neglected in existing model,was successfully introduced into the panel flutter model.From the numerical results,it can be seen that the aerodynamic pressure is a main driving force of the panel flutter,the internal force acts as an external pre-tightening force on two sides of the panel,and the internal moment drives vibration of the panel with small amplitude.Taking all the factors mentioned above into account,the vibration of the panel under aerothermoelastic coupling was studied in detail.It is found that the vibration becomes very complex as the Mach number is large.Finally,some kind of nonlinear dynamical behaviors were captured and analyzed by nonlinear dynamical theory.
出处
《航空动力学报》
EI
CAS
CSCD
北大核心
2011年第10期2237-2244,共8页
Journal of Aerospace Power
基金
新世纪人才计划(NCET-07-0685)
关键词
薄板振动
热气动弹性耦合
时间迟滞
屈曲
分岔
混沌
panel flutter
aerothermoelastic coupling
time delay
buckling
bifurcation
chaos
