中文摘要：

将大气紊流速度分解为平均速度和脉动速度两部分，基于一阶活塞理论求得其气动力，结合VonKarman大变形非线性几何应变一位移关系和伽辽金方法，建立了热环境下三维壁板在大气紊流下的气动弹性运动方程，先用频域分析法讨论了热环境对壁板稳定性的影响，再根据随机理论对壁板结构均方根响应值进行分析。结果表明：当来流平均动压接近和超过颤振临界动压时，壁板结构的均方根响应值随平均动压和温度的增大而增加，但其值仅在来流平均动压接近颤振临界动压时随紊流强度变化显著，对紊流尺度的变化不敏感。

英文摘要：

The velocity of atmosphere turbulence is divided into two parts, the mean velocity and the fluctuating velocity. The aerodynamic force is solved by first-piston theory of supersonic aerodynamics. Aeroelastics differential equations of a three-dimensional panel with thermal effect to atmosphere turbulence are set up by using the Von Karman large deformation strain-displacement relation and Galerkin approach. The stability of the panel with thermal effect is analyzed in frequency-domain and the mean square response of the panel is calculated basing on random theory. The results show that when the mean pressure is close to and over the flutter critical pressure, the mean square root of response of a structure increases with the rise of the mean pressure or temperature. The mean square root of response of the structure has a pronounce change to the strength of atmosphere turbulence only when the mean pressure is close to the flutter critical pressure, but it is insensitive to the change of integral measure of atmosphere turbulence.