| 变截面梁振动固有频率的计算 |
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| 引用本文： | 方书盛. 变截面梁振动固有频率的计算[J]. 汕头大学学报(自然科学版), 2011, 26(4): 73-80 |
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| 作者姓名： | 方书盛 |
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| 作者单位： | 汕头市达濠第二中学,广东汕头,515071 |
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| 摘 要： | 研究在实际应用中几种最常见的变截面梁的固有频率的计算方法和步骤.利用变系数线性微分方程的通解,在一定的边界条件下得到固有频率的解析表达式,再运用数值计算方法计算出所得频率方程的根,得到精确度较高的固有频率的近似值.
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| 关 键 词： | 变截面梁 固有频率 频率方程 计算方法 |
Computation for the Natural Beams with Variable Oscillation Frequency of the Cross-sectional Areas |
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| FANG Shu-sheng. Computation for the Natural Beams with Variable Oscillation Frequency of the Cross-sectional Areas[J]. Journal of Shantou University(Natural Science Edition), 2011, 26(4): 73-80 |
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| Authors: | FANG Shu-sheng |
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| Affiliation: | FANG Shu-sheng(Dahao Second Middle School of Shantou,Shantou 515071,Guangdong,China) |
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| Abstract: | Study the computing method and process of the natural frequency of the beam with variable cross-sectional area in several types which are met almost always. Use the general solution of linear differential equation and determinate boundary conditions to get the explanatory expression of the frequency equation to find the intrinsic frequency. Then use the method of numerical computation to find the roots of frequency equation. Thus get the approximation number of intrinsic frequency with higher precision. |
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| Keywords: | beam with variable cross-sectional area natural frequency frequencyequation computing method |
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