| 轴盘系统扭转振动特性的新的表达式及计算 |
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| 引用本文： | 彭献,彭凡.轴盘系统扭转振动特性的新的表达式及计算[J].湖南大学学报(自然科学版),2000,27(6):17-21. |
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| 作者姓名： | 彭献 彭凡 |
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| 作者单位： | 湖南大学工程力学系,湖南,长沙,410082 |
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| 摘 要： | 应用奇异函数，建立等直轴上有任意个盘的轴盘系统扭转振动微分方程。引入运算符号，导得其频率方程和振型函数的解析表达式。给出运算符号的递推公式，便于数值计算和工程应用。
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| 关 键 词： | 轴盘系统 扭转振动 频率方程 运算符号 机械传动 |
| 修稿时间： | 2000-05-07 |
New Expressions and Calculation of the Tortional Vibration Characteristics of A Shaft-Disk System |
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| PENG Xian,PENG Fan.New Expressions and Calculation of the Tortional Vibration Characteristics of A Shaft-Disk System[J].Journal of Hunan University(Naturnal Science),2000,27(6):17-21. |
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| Authors: | PENG Xian PENG Fan |
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| Abstract: | By the use of a singular function,the differential equation of vibration of a uniform circular shaft with several disks is found.By means of a symbol of operation,the analytical expressions of the frequency equation and the modal function are derived.Furthermore,a reccursion formula of the operational symbol is introduced.It is very convenient for numerical method in engineering applications. |
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| Keywords: | shaft-disk system torsional vibration frequency equation and modal function operational symbol reccursion form |
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