| 张亚红,华军,许庆余,张小龙.精细积分法在迷宫密封转子系统非线性动力学特性计算中的应用[J].计算力学学报,2005,22(5):541~545 |
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| 精细积分法在迷宫密封转子系统非线性动力学特性计算中的应用 |
| A new high precision direct integration scheme for nonlinear rotor-seal system |
| 修订日期：2003-08-24 |
| DOI：10.7511/jslx20055107 |
| 中文关键词: 精细积分 迷宫密封 动力学特性 |
| 英文关键词:precise integration,labyrinth seal,dynamic characteristic |
| 基金项目:国家自然科学基金(50275113)，高等学校博士学科点专项科研基金(20030698017)资助项目 |
| 张亚红 华军 许庆余 张小龙 |
| [1]西安交通大学航天航空学院,西安710049 [2]西安建筑科技大学理学院,西安710055 |
| 摘要点击次数: 1494 |
| 全文下载次数: 9 |
| 中文摘要: |
| 基于Muszynska密封力模型，建立了迷宫密封转子系统的非线性动力学模型，将精细积分法推广应用于非线性情况，计算了迷宫密封不平衡转子系统的动力学特性，依据Floquet理论讨论其分岔特性。研究表明：在2^N类算法计算指数矩阵基础上提出的精细积分法和传统的数值计算方法相比，其精度高，在分析中通过取不同步长计算对比，表明该方法在某些情况下可以采取较大时间步长，有效提高了计算速度。 |
| 英文摘要: |
| In this paper,the mechanical model of labyrinth seal rotor system with Muszynska seal forces is established.A new efficient and high precision direct integration scheme is proposed based on 2N type algorithm for the computing of exponential matrix.According to the proposed model and numerical integration method,the response of the unbalanced rotor-seal system is investigated.Combining precise integration method with Poincare mapping method,the bifurcation diagrams associated with various rotor speeds are presented and the course of the system shifting from the steady state to the unsteady state is analyzed.The study demonstrates that precise integration method can be effectively applied to nonlinear numerical analysis of rotor-seal system.The scheme is significantly less sensitive to the size of time step compared with other existing methods,so a large time step may be used and the computing time reduced substantially. |
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