Research Initiation Awards: A New Approach for the Analysis of Piece-Wise Periodic Structures of Finite Length

将开发一个程序来分析动态响应 有限长大型结构系统的噪声传递 它们由离散的周期性单元组成。 该方法是一 有限元、传递矩阵和波动方程的组合 传播 响应被视为波的叠加 利用波浪反射的运动（由于结构的变化 模式）和传输矩阵。 这使得计算 只在波传播的方向上前进， 结果总是数值稳定的。 新方法可以治疗 有限长度的长分段周期性加强结构， 这对于传统的传递矩阵是不可能的，因为 数字上的困难。 该方法可以利用有限元 处理复杂系统的周期单位公式 几何形状，预计将远远快于有限 因为自由度降低了。 述的方法 将用于结构噪声的预测 大型柔性结构的传输。 最后将该方法 将用于随机有限元公式， 减少计算时间，这是一个明显的问题， 随机响应随着元素数量的增加。 //

A procedure will be developed for the analysis of dynamic response and noise transmission of large structural systems of finite length which are composed of discretely periodic units. The method is a combination of finite elements, transfer matrices and waved propagation. The response is treated as superposition of wave motions using wave reflection (due to changes in the construction pattern) and transmission matrices. This enables the computations to proceed in the direction of wave propagation only, so that the results are always numerically stable. The new method can treat long piece-wise periodic stiffened structures of finite length, which is not possible with traditional transfer matrices, because of numerical difficulties. The method can use the finite element formulation for the periodic units to treat systems of complicated geometries and is expected to be much faster than the finite elements because the degrees of freedom are reduced. The method will be used for the prediction of the structure-borne noise transmission of large flexible structures. Finally, the method will be used with the stochastic finite element formulation to reduce computational time, which is an evident problems in stochastic response as the number of elements increases. //