| 一种推导Timoshenko梁频率方程的新方法 |
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| 引用本文： | 蒋济同,王熙堃. 一种推导Timoshenko梁频率方程的新方法[J]. 中国海洋大学学报(自然科学版), 2008, 38(6) |
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| 作者姓名： | 蒋济同 王熙堃 |
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| 作者单位： | 中国海洋大学工程学院,山东,青岛,266100 |
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| 基金项目： | 国家高技术研究发展计划(863计划) |
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| 摘 要： | 在Timoshenko梁横向弯曲自由振动方程的基础上,首次推导建立两端受弹性约束梁的频率方程,通过此方程,研究两端受弹性约束梁的性质,并通过简支梁模型,初步估计剪切变形与转动惯量对Timoshenko梁频率的影响,估算Timoshenko梁与Euler梁频率之间的关系,给出估算公式,并用数值算例进行验证,结果表明数值法解Timoshenko频率方程的可靠性.
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| 关 键 词： | Timoshenko梁 频率方程 剪切变形 转动惯量 固有频率 |
A New Method for Deriving Frequency Equation of the Timoshenko Beam |
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| JIANG Ji-Tong,WANG Xi-Kun. A New Method for Deriving Frequency Equation of the Timoshenko Beam[J]. Periodical of Ocean University of China, 2008, 38(6) |
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| Authors: | JIANG Ji-Tong WANG Xi-Kun |
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| Affiliation: | JIANG Ji-Tong,WANG Xi-Kun(College of Engineering,Ocean University of China,Qingdao 266100,China) |
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| Abstract: | Based on the different equations of lateral bending and free vibration for Timoshenko beam,frequency equations are derived with elastic rotation constraints at supports.According to the equations,the characters of the beam were researched,and the relationships of natural frequency between Timoshenko and Euler beam were discussed,and formulas are given.Finally,the examples show that it is reliable for numerical method on resolving frequency equation of Timoshenko. |
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| Keywords: | Timoshenko beam frequency equation shear deformation rotational inertia natural frequency |
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