| 机构系统的动力学稳定性研究 |
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| 引用本文： | 王允地 王稳地 王党会. 机构系统的动力学稳定性研究[J]. 陕西科技大学学报, 2005, 23(1): 73-76 |
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| 作者姓名： | 王允地 王稳地 王党会 |
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| 作者单位： | [1]陕西科技大学机电工程学院，陕西咸阳712081 [2]西南师范大学数学系，重庆400715 [3]西安化工厂工程处，陕西西安710077 |
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| 摘 要： | 将匀转速原动件机构系统的运动弹性体动力学(KED)方程组作为一个整体进行了研究，根据系数矩阵的周期性变化特性定义了反映基解矩阵在周期始末递推关系的递推矩阵概念，导出了机构系统的响应表达式，得到了与递推矩阵特征值密切相关的机构系统动力学稳定条件，从理论上阐明了低阶谐振现象出现的可能性。
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| 关 键 词： | 机构系统 动力学稳定性 微分方程组 周期性 递推矩阵 特征值 |
| 文章编号： | 1000-5811(2005)01-0073-04 |
| 修稿时间： | 2002-09-30 |
DYNAMICAL STABILITY OF MECHANISM SYSTEM |
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| WANG Yun-di,WANG Wen-di,WANG Dang-hui. DYNAMICAL STABILITY OF MECHANISM SYSTEM[J]. Journal of Shaanxi University of Science & Technology(Natural Science Edition), 2005, 23(1): 73-76 |
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| Authors: | WANG Yun-di WANG Wen-di WANG Dang-hui |
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| Affiliation: | WANG Yun-di~1,WANG Wen-di~2,WANG Dang-hui~3 |
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| Abstract: | Dynamical stability of elastic mechanism system described by differential equations is studied in this paper. It is assumed that original moving part rotates at a constant rate. By exploiting the periodicity of coefficients in the system, an iterative matrix is defined from which the formula to calculate system responses are obtained. At last, the stable conditions related with the characteristic values of the iterative matrix are established. |
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| Keywords: | mechanism system dynamical stability iterative matrix periodicity characteristic values |
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