传热时间迟滞影响的薄板热气动弹性耦合 振荡模型

李凯伦; 张家忠; 周振堂

传热时间迟滞影响的薄板热气动弹性耦合振荡模型

1.
西安交通大学能源与动力工程学院,西安 710049
2.
白城师范学院机电工程系,吉林白城 137000

基金项目: 新世纪人才计划(NCET-07-0685)

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出版历程
- 收稿日期: 2010-10-26
- 修回日期: 2011-03-12
- 刊出日期: 2011-10-28

Aerothermoelastic coupling dynamic model of panel flutter with time delay of heat transfer

1.
School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an 710049, China
2.
Department of Mechanical and Electrical Engineering, Baicheng Normal College, Baicheng Jilin 137000, China

摘要

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.
- 薄板振动 /
- 热气动弹性耦合 /
- 时间迟滞 /
- 屈曲 /
- 分岔 /
- 混沌
Abstract: 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.
- panel flutter /
- aerothermoelastic coupling /
- time delay /
- buckling /
- bifurcation /
- chaos

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参考文献(12)

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