| 系有集中质量的均匀与非均匀弹性杆的振动问题 |
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| 引用本文： | 郑镇汉,姚正安.系有集中质量的均匀与非均匀弹性杆的振动问题[J].华中师范大学学报(自然科学版),2006,40(4):524-526,531. |
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| 作者姓名： | 郑镇汉 姚正安 |
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| 作者单位： | 1. 中山大学,数学系,广州,510275;广州航海高等专科学校,基础部,广州,510725
2. 中山大学,数学系,广州,510275 |
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| 基金项目： | 国家自然科学基金;广州航海高等专科学院基金 |
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| 摘 要： | 讨论并求解了一端系有集中质量再与弹簧连接的均匀弹性杆振动问题；以及一端系有集中质量的非均匀弹性杆振动问题．讨论了各种情况，这些情况给出了以前文献上研究过的许多结果，从而说明问题及解的普遍性．
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| 关 键 词： | 均匀弹性杆 非均匀弹性杆 集中质量 振动 |
| 文章编号： | 1000-1190（2006）04-0524-03 |
| 收稿时间： | 2005-10-08 |
| 修稿时间： | 2005-10-08 |
Vibration of uniform and nonuniform rods connected to a concentrated mass |
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| ZHENG Zhenhan,YAO Zhengan.Vibration of uniform and nonuniform rods connected to a concentrated mass[J].Journal of Central China Normal University(Natural Sciences),2006,40(4):524-526,531. |
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| Authors: | ZHENG Zhenhan YAO Zhengan |
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| Institution: | 1. Department of Mathematics, Zhongshan University, Guangzhou 510275; 2. Department of Basic Courses, Guangzhou Maritime College, Guangzhou 510725 |
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| Abstract: | The vibration of a uniform flexible rod connected to a concentrated mass which is further connected to a spring is solved. The vibration of a nonuniform flexible rod connected to a concentrated mass is also solved. Various limited cases are discussed, which give the results of many special cases studied in previous literature. |
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| Keywords: | uniform flexible rod nonuniform flexible rod concentrated mass vibration |
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