磁悬浮反作用飞轮系统模态分析及试验研究

介绍了一种角动量为50Nms工作转速在±5000rpm的磁悬浮反作用飞轮系统,利用有限元分析软件ANSYS对其定、转子及系统进行了模态分析,利用COMBINE14单元模拟磁轴承使模型更加接近实际,最后通过模态测试试验测出了转子的一阶弹性固有模态,与理论计算结果相近,误差仅为0.66%,验证了理论模型的正确性。模态分析及测试的结果对磁悬浮反作用飞轮系统的振动特性研究,控制方案设计及总体优化设计有着重要意义。     

快速多极边界元法在薄板结构中的应用

基于Taylor级数多极展开研究了边界元快速多极算法(FM—BEM)，并将它应用于薄板结构。算例分析表明FM—BEM的计算时间和存储空间明显少于常规边界元迭代解法。随着问题规模的增大，这种优势将更加突出。     

Stability and Accuracy Analysis for Taylor Series Numerical Method

The Taylor series numerical method (TSNM) is a time integration method for solving problems in structural dynamics. In this paper, a detailed analysis of the stability behavior and accuracy characteristics of this method is given. It is proven by a spectral decomposition method that TSNM is conditionally stable and belongs to the category of explicit time integration methods. By a similar analysis, the characteristic indicators of time integration methods, the percentage period elongation and the amplitude decay of TSNM, are derived in a closed form. The analysis plays an important role in implementing a procedure for automatic searching and finding convergence radii of TSNM. Finally, a linear single degree of freedom undamped system is analyzed to test the properties of the method.     

Fast Multipole BEM for 3-D Elastostatic Problems with Applications for Thin Structures

The fast multipole method (FMM) has been used to reduce the computing operations and memory requirements in large numerical analysis problems. In this paper, the FMM based on Taylor expansions is combined with the boundary element method (BEM) for three-dimensional elastostatic problems to solve thin plate and shell structures. The fast multipole boundary element method (FM-BEM)requires O(N) operations and memory for problems with N unknowns. The numerical results indicate that for the analysis of thin structures, the FM-BEM is much more efficient than the conventional BEM and the accuracy achieved is sufficient for engineering applications.