| 郑铁生.求一般结构系统部分复模态的Ritz向量法及应用[J].计算力学学报,1998,15(1):93~100107 |
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| 求一般结构系统部分复模态的Ritz向量法及应用 |
| Ritz vector solution for partial complex modes of general structures and its applications |
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| DOI：10.7511/jslx19981014 |
| 中文关键词: 特征问题 降价 转子－轴承系统 模态 Ritz向量 |
| 英文关键词:eigenproblem, order reduction method, rotor bearign system |
| 基金项目:国家自然科学基金,八五重点课题 |
| 郑铁生 |
| 西安交通大学力学系 |
| 摘要点击次数: 1157 |
| 全文下载次数: 3 |
| 中文摘要: |
| 构造了一种获取一般结构系统（刚度，阻尼矩阵可以是非对称的）Ｒｉｔｚ向量基的迭代方法，从而可以高维阻尼系统部分复模态解降价成为一个低维二次特征问题，将此降阶后的二次特征问题化成标准特征值后即可用ＱＲ方法求得系统的部分低阶持征解，作为应用，对一个实际转子－轴承系统的动力特性进行了计算分析。 |
| 英文摘要: |
| \ In order to obtain the partial complex modes of the general structures an iteration method is established for calculating basis of Ritz vector set of the structural system whatever the stiffness matrix and damping matrix of the system are symmetric or not. From the Ritz vector basis the high order of quadratic eigenproblem of the damping system can reduce to a lower order one and then it can transform to a lower order of standard eigenproblem that can be easily solved by QR method. As an application the dynamic behavior of a real rotor bearing is analyzed by the new method. |
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