论文部分内容阅读
提出了一种用于失谐叶盘动力学特性分析的减缩计算方法.该方法采用基于周期对称的谐波平衡法,建立非线性的迭代方程,能够基于单扇区的矩阵求解整个失谐叶盘的强迫响应,且不存在任何截断误差,因而效率高于部件模态综合法但精度并不降低.从周期对称结构理论出发给出了方法原理的数学推导,在此基础上通过一个失谐叶盘有限元模型算例对该方法的效率与精度进行了讨论.结果表明:相较部件模态综合法,周期对称谐波平衡法矩阵维度减小59.5%,计算复杂度减少93.4%,计算时间节省57.4%.
A method of reducing and calculating the kinetic characteristics of a detuned leaf disc is proposed.The method uses a harmonic balance method based on periodic symmetry to establish a nonlinear iterative equation that can solve the entire detuning leaf based on a single sector matrix Plate forced response, and does not have any truncation error, so the efficiency is higher than that of the component modal synthesis method, but the precision does not decrease.According to the theory of periodic symmetry structure, the mathematical derivation of the principle of the method is given, on this basis, The efficiency and precision of this method are discussed with the finite element model of leaf disc.The results show that the matrix symmetry of the symmetrical harmonic balance method decreases by 59.5% and the computational complexity decreases by 93.4% Time savings of 57.4%.