超音速下梯形复合材料层合板的气动热弹性

摘要

The aerothermoelastic behaviors of composite laminated trapezoidal plates in supersonic airflow are investigated using the finite element method.Considering the compressibility of airflow and the shock wave, the first order piston theory is applied to evaluate the aerodynamic pressure.According to the irregular structure of the composite laminate plate,and due to the complicated temperature distribution caused by the aerodynamic heating, the heat conduction equation and the aerothermoelastic coupled equation of motion of the composite laminated trape -zoidal plate are established using the finite element method.The temperature distribution of the plate is obtained by the heat conduction equation,and the aerothermoelastic behaviors of trapezoidal plates are investigated by combi-ning the aerothermoelastic equation of motion.From the numerical simulation,the effects of the aerodynamic heat-ing and ply angle on the natural frequencies and modes of the trapezoidal plate are studied.%发展了有限元方法,对超音速环境中梯形复合材料层合板的气动热弹性问题进行了研究.考虑可压缩流和斜激波的影响,采用一阶活塞理论表示气动压力.针对复合材料层合板的不规则结构,以及板由于气动加热而产生的复杂温度分布,利用有限单元法,建立梯形复合材料层合板的热传导方程和气动热弹性耦合运动方程.通过热传导方程得到板的温度分布,再结合气动热弹性运动方程分析梯形板的气动热弹性特性.通过数值计算,研究气动加热和铺设角对超音速下梯形板的固有频率和模态的影响.