| 端点系有集中质量的串联弹性杆的纵振动 |
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| 引用本文： | 康文秀,关荣华. 端点系有集中质量的串联弹性杆的纵振动[J]. 河北大学学报(自然科学版), 2008, 28(6): 589. DOI: 10.3969/j.issn.1000-1565.2008.06.008 |
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| 作者姓名： | 康文秀 关荣华 |
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| 作者单位： | 华北电力大学,数理系,河北,保定,071003;华北电力大学,数理系,河北,保定,071003 |
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| 基金项目： | 河北省自然科学基金，华北电力大学基金 |
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| 摘 要： | 一端固定,另一端系有集中质量的串联弹性杆的纵振动问题是一种不规范的施图姆-刘维尔本征值问题,用分离变量法求解,得到本征值满足的超越方程,数值计算其本征值,得到串联弹性杆纵振动的级数解,进一步讨论了集中质量质点的振动模式和系统的能量问题.
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| 关 键 词： | 分离变量法 串联弹性杆 本征函数 集中质量 |
Vibration Problem of Elastic Rod in Series with Concentrated Mass on One End |
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| KANG Wen-xiu,GUAN Rong-hua. Vibration Problem of Elastic Rod in Series with Concentrated Mass on One End[J]. Journal of Hebei University (Natural Science Edition), 2008, 28(6): 589. DOI: 10.3969/j.issn.1000-1565.2008.06.008 |
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| Authors: | KANG Wen-xiu GUAN Rong-hua |
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| Abstract: | It is a kind of irregular Sturm-Liouville eigenvalue problem that the vibration of rod in series with concentrated mass on one end,solving the vibration by separation variable to obtain the equation of eiginvalue,which can be solved by numerical method,the series solution of the vibration can be given,then the vibration model of concentrated mass and the engery of system are discussed. |
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| Keywords: | separation variable elastic rod in series eigenfunction concentrated mass |
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