| 附带有考虑集中质量的转动惯性的梁固有振动分析 |
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| 引用本文： | 王栋.附带有考虑集中质量的转动惯性的梁固有振动分析[J].振动与冲击,2010,29(11):221-225. |
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| 作者姓名： | 王栋 |
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| 作者单位： | 1.西北工业大学 航空学院, 西安 710072 |
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| 摘 要： | 研究梁附带集中质量时系统的横向弯曲自由振动,分析过程中同时考虑集中质量的平(移)动和转动惯性。探讨了梁的固有频率相对集中质量位置的一阶导数计算问题,并得到了正确的灵敏度计算公式。数值计算结果表明:集中质量的转动惯性对梁的频率、振型以及灵敏度都有很大的影响。当集中质量的转动惯性较大时,忽略其影响对梁的振动分析可能带来很大的误差。
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| 关 键 词： | 梁-质量系统 集中质量位置 频率灵敏度 转动惯性 优化设计 |
| 收稿时间： | 2009-9-23 |
| 修稿时间： | 2010-7-30 |
Vibration analysis of a beam carrying lumped masses with both translational and rotary inertias |
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| WANG Dong.Vibration analysis of a beam carrying lumped masses with both translational and rotary inertias[J].Journal of Vibration and Shock,2010,29(11):221-225. |
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| Authors: | WANG Dong |
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| Affiliation: | School of Aeronautics, Northwestern Polytechnical University, Xi’an, 710072, P. R. China |
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| Abstract: | The dynamic behaviors of a uniform slender beam carrying one or two lumped masses with both the translational and rotary inertias are studied. At the same time, the frequency sensitivity is analyzed with respect to the position of the lumped mass attachment, and a correct expression of the sensitivity is obtained. Numerical results show that the rotary inertia of a lumped mass affects the natural frequencies, mode shapes and the design sensitivities more noticeably. Ignoring the rotary inertia, in some cases, may lead to inaccurate results in the beam vibration analysis. |
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| Keywords: | beam-mass system lumped mass position frequency sensitivity rotary inertia optimization |
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