| 基于转换矩阵法的中间带弹性支撑剪切梁模态求解 |
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| 引用本文： | 叶茂,陈祥祥.基于转换矩阵法的中间带弹性支撑剪切梁模态求解[J].科学技术与工程,2016,16(36). |
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| 作者姓名： | 叶茂 陈祥祥 |
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| 作者单位： | 广州大学-淡江大学工程灾害控制研究中心，广州大学,广州大学-淡江大学工程灾害控制研究中心，广州大学 |
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| 基金项目： | 国家自然科学基金项目（面上项目，重点项目，重大项目） |
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| 摘 要： | 基于转换矩阵法,根据弹性支承点处的协调条件,推导得到跨度不同、各跨刚度不同、单位长度质量不同、中间带弹性支承、不同边界条件下剪切梁的特征方程,并验证了方法的正确性。基于数值算例,探讨了边界条件对剪切梁模态的影响,给出了剪切梁与欧拉梁的对比分析。
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| 关 键 词： | 剪切梁 弹性支撑 转换矩阵法 剪切变形影响 模态分析 跨高比 |
| 收稿时间： | 2016/6/11 0:00:00 |
| 修稿时间： | 2016/6/11 0:00:00 |
MODAL ANALYSIS OF SHEARING BEAM WITH INTERMEDIATE FLEXIBLE CONSTRAINTS BASEON TRANSFER MATRIX METHOD |
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| YE MAO and.MODAL ANALYSIS OF SHEARING BEAM WITH INTERMEDIATE FLEXIBLE CONSTRAINTS BASEON TRANSFER MATRIX METHOD[J].Science Technology and Engineering,2016,16(36). |
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| Authors: | YE MAO and |
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| Abstract: | Based on the transfer matrix method,the characteristic equations of continuous shearing beam with diverse characteristics including the varied length of span, the varied stiffness of span, the varied mass of unit-length beam, flexible constraint mounted in the intermediate and different boundary conditions, have been derived .The modal analysis results of shearing beams have been compared to those ofEuler beam. The discrepancies of the frequencies obtained from these two types of beams were discussed by considering different span-depth ratio and number of modes. |
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| Keywords: | Shearing beam elastic support transfer matrix method shear deformation modal analysis span depth ratio |
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