大型陀螺系统的模态综合方法

MODAL SYNTHESIS METHOD OF A LARGE SCALE GYROSCOPIC DYNAMIC SYSTEM

在陀螺系统辛子空间迭代法基础上,发展出了陀螺系统的模态综合方法(MSMGS).此方法将一个整体的大的陀螺系统化为几个小的陀螺系统.在各子结构中,应用辛子空间迭代法对其进行前几阶的模态计算,并合并各个子结构,以组装成整体系统的转换矩阵,然后将其代入整体陀螺系统.得到缩减后的整体陀螺系统,算例证明了缩减后的系统能够比较好地近似原来的整体陀螺系统。

Based on the adjoint simplectic subspace iteration method of gyroscopic system, a modal synthetic method of a large gyroscopic system (MSMGS) was proposed . This method divided the large gyroscopic system into several subsystems, and obtained the first modals of the subsystems via the adjoint simplectic subspace iteration method. The whole transition matrix can be composed of the eigenvector matrices of all the subsystems, and the reduced gyroscopic system can be given through the whole transition matrix. The examples prove that the whole gyroscopic system can be approximated by the reduced gyroscopic system.