基于Riccati变换的整体传递矩阵法计算双转子临界转速研究  

Study of Dual-Rotor Critical Speed by Whole Transfer Matrix Method Based on Riccati Transformation

作　　者：庞辉[1] 李育锡[1] 王三民[1] 

机构地区：[1]西北工业大学机电学院,西安710072

出　　处：《机械科学与技术》2005年第7期832-834,874,共4页Mechanical Science and Technology for Aerospace Engineering

基　　金：航空科学基金项目(02C53019)资助

摘　　要：对整体传递矩阵法进行了改进,将Riccati变换应用于整体传递矩阵,导出了经过耦合单元和非耦合单元时的Riccati传递矩阵计算公式。使用该方法计算临界转速,数值稳定性好,计算精度高,容易编制通用计算程序。最后给出了数值算例,结果表明,计算高阶临界转速时,本文方法计算精度和数值稳定性与整体传递矩阵法相比有明显提高。The whole transfer matrix method (WTMM) was improved, the formula on Riccati tranfer matrix of coupling element and non-coupling element was derived after the Riccati transform was applied to the whole transfer matrix. The method in this paper has better numerical stability, higher computation precision, and it is easy to develop a general computer program. A numerical example was given finally, and the results show that the computing precision and stability of numerical value are greatly improved compared with WTMM.

关 键 词：双转子系统 整体传递矩阵法 临界转速 

分 类 号：TH113.1[机械工程—机械设计及理论]