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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振动与冲击 ›› 2010, Vol. 29 ›› Issue (11) : 221-225.

论文

附带有考虑集中质量的转动惯性的梁固有振动分析

王栋

作者信息 +

Vibration Analysis of Beam Loaded with Lumped Mass with both Translational and Rotary Inertias

WANG Dong

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文章历史 +

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。

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.

导出引用

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

WANG Dong. Vibration Analysis of Beam Loaded with Lumped Mass with both Translational and Rotary Inertias[J]. Journal of Vibration and Shock, 2010, 29(11): 221-225