| 计及弹簧质量的弹簧——质点振动系统固有模态的探讨 |
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| 引用本文： | 陈立安,王其申. 计及弹簧质量的弹簧——质点振动系统固有模态的探讨[J]. 安庆师范学院学报(自然科学版), 2002, 8(4): 28-29. DOI: 10.3969/j.issn.1007-4260.2002.04.011 |
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| 作者姓名： | 陈立安 王其申 |
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| 作者单位： | 安庆师范学院,物理系,安徽,安庆,246011 |
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| 摘 要： | 计及弹簧质量的弹簧振子的振动是一个较为复杂的问题.以往对其频率的研究较多,而对其固有模态的研究比较少.本文将从系统振动的解即模态表达式进行讨论,得到系统的固有模态是正交的,而且这种正交性从物理角度和数学角度均能得到合理的解释.
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| 关 键 词： | 弹簧振子 固有模态 Sturm-Liouville问题 正交 |
| 文章编号： | 1007-4260(2002)04-0028-02 |
Disscussion of Eigen State of Spring with Mass Counted-Particle Vibrating System |
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| Abstract: | The vibrating problem of the spring vibration with its weight is a complicated problem.This article begins with the problem of the spring vibrator which takes its mass into consideration.Discussing the solution in the physical and mathematical way,we can prove that its eingen mode is orthogonaling with its mass. |
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| Keywords: | spring vibrator eigen state sturm-liouville problem orthogonaling |
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