气动弹性剪裁中的响应值敏度

RESPONSE SENSITIVITY IN AEROELASTIC TAILORING

进行了一种用解析方法求气动弹性剪裁中的结构响应值敏度的研究。推导了结构的气动弹性响应(位移 ,振动形态和频率 ,静气动弹性效率和发散 ,颤振 )对设计变量导数的封闭解析表达式。设计变量可包含复合材料结构的铺层方向角。广义气动力导数计及正交振动形态导数的影响。经实例验算 ,所求得的敏度 ,与差分法相比 ,数值上吻合得很好。此方法已成功地应用于

An analytical approach is proposed to obtain the sensitivity of structural response in aeroelastic tailoring. Analytical expressions in closed form for structural aeroelastic responses (displacement, vibration modes and frequencies, static aeroelastic effectiveness and divergence, flutter) with respect to design variables have been derived. The design variables include the ply orientations of composite material, and the derivatives of generalized aerodynamic forces involve normal modes derivatives. These expressions have been checked in test cases and the resultant numerical values of sensitivity are in good agreement with values obtained using the difference approach. This analytical approach is successfully used in CAE sponsored structure optimization program systems.