| 直立梁的弯曲振动 |
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| 引用本文： | 向裕民.直立梁的弯曲振动[J].四川理工学院学报(自然科学版),1996(4). |
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| 作者姓名： | 向裕民 |
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| 作者单位： | 四川轻化工学院基础部 |
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| 摘 要： | 在梁自重和结构阻尼一并考虑的情况下，建立直立梁弯曲受振模型和变系数偏微振动方程。在获得常系数齐次方程相应边界条件下的正交振型函数后，运用伽辽金法求其广义解。讨论和图示稳态响应下的幅频特性，分析系统的共振条件和参数的影响。
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| 关 键 词： | 直立梁 振型函数 伽辽金法 受迫振动 |
BENDING OSCILLATION OF VERTICAL BEAM |
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| Xiang Yumin.BENDING OSCILLATION OF VERTICAL BEAM[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,1996(4). |
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| Authors: | Xiang Yumin |
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| Institution: | Dept.of Basic Courses Sichuan Institute of Light Ind. & Chem. Tech. Zigong 643033 |
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| Abstract: | Considering self-weight and construction damping, the bending oscillation model of vertical beam and its partial differential oscillation equation with variable coefficient are constructed.After getting the orthogonal oscil lation-modelfunction of corresponding partial differential equation with constant coefficient under the same boundary conditions, the generalized solution is achieved by employing Garlekin method.The frequency-amplitude characters in stable response are studied and illustrated.The condition of resonance and the influences of parameters are analyzed. |
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| Keywords: | vertical beam oscillation-model-function Garlekin method forced oscillation |
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