| 一种变截面杆的超声弯曲振动分析 |
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| 引用本文： | 左建国,丁大成,赵恒元. 一种变截面杆的超声弯曲振动分析[J]. 陕西师范大学学报(自然科学版), 1991, 0(1) |
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| 作者姓名： | 左建国 丁大成 赵恒元 |
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| 作者单位： | 衡阳钢管厂，陕西师大应用声学研究所，陕西师大应用声学研究所 |
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| 摘 要： | 利用直杆弯曲振动的Timoshenko理论,求出等厚度矩形对称变截面指数杆弯曲振动的振型函数以及四种边界条件下的频率方程。这四种频率方程的边界分别是:固支—自由, 自由—自由,固支固—支,简支—简支。同时又给出了在超声振动情况下谐振长度的表达式,并对两端自由杆超声弯曲振动的变帽作用作了详细讨论。
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| 关 键 词： | Timoshenko理论 变截面 频率方程 |
An analysis on the ultrasonic flexural vibrations of a bar with non-uniform cross section |
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| Zuo Jianguo. An analysis on the ultrasonic flexural vibrations of a bar with non-uniform cross section[J]. Journal of Shaanxi Normal University: Nat Sci Ed, 1991, 0(1) |
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| Authors: | Zuo Jianguo |
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| Affiliation: | Zuo Jianguo (Hengyang Steel Tube Mill) Ding Dacheng Zhao Hengyuan (Applied Acoustics Institude) |
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| Abstract: | The normal model functions and four kinds of frequency equations were given for the flexural vibrations of a symmetric exponential bar with reetangular and non uniform cross section, The boundaries for these equations are: (a) clamped-free; (b) free-free; (c) clamped clamped; (d) hinged-hing-ed. The simple expressions of harmonic length were also obtained under the above boudary conditions for ultrasonic vibrations, Analyses on numerical calculation testified the correctness of the Timoshenko's theory and the relation between lhe Timoshenko's theory and the classical thenry and the other two kinds of approximate theories of bars. Finally, a detailed discussion was made for the anplitude transformation of a free-free bar. |
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| Keywords: | Timoshenko's theoy frequency equations non-uniform cross section |
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