基于POD降阶方法的复合材料曲壁板颤振响应特性研究

Flutter response characteristics of composite curved panels based on POD method

建立了三维复合材料曲壁板的气动弹性有限元方程,将本征正交分解方法(POD)应用于三维复合材料曲壁板的非线性颤振响应降阶分析中,通过POD方法构造三维复合材料曲壁板颤振响应的POD模态,然后将系统的运动方程变换到POD模态坐标下,通过数值积分方法计算三维复合材料曲壁板的颤振响应,与传统的模态缩减法计算结果相比,结果很好的吻合,且大大节省了计算时间。

The equations of motion for nonlinear flutter of curved composite panels were developed with the finite element method. The reduced order modes constructed with the proper orthogonal decomposition（ POD） method were used in reducing the order of these equations,and the equations of motion were transformed into a reduced nonlinear system under the POD modal coordinates,then the reduced equations were solved in time domain by using the numerical integration method. Compared with the results calculated using the traditional modal reduction method,the results using POD method based on reduced order models agreed well with the former,and also saved the computation time greatly.