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Vibration analysis of rotating composite shafts containing randomly oriented reinforcements

机译：包含随机取向的钢筋的旋转复合材料轴的振动分析

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摘要

The vibration behaviors of the rotating composite shafts containing randomly oriented reinforcements are studied in this paper. The Mori Tanaka mean-field theory is adopted here to account for the interaction at the finite concentrations of reinforcements in the composite material. The effective elastic moduli of the composite material are expressed as a function of the phase properties, volume fraction, orientation angles of its constituents. The finite element model of the rotating continuous fiber-reinforced composite shafts derived previously by authors is extended here to the case that contains the fiber inclusions by taking these effective elastic moduli into account. Based on this model, the natural frequencies of the stationary shafts, and the whirling speeds as well as the critical speeds of the rotating shafts are investigated. The results reveal that the content and the orientation of reinforcements have great influence on the dynamic characteristics of the composite shafts.
机译：本文研究了含有随机取向的钢筋的旋转复合材料轴的振动行为。这里采用了森田中平均场理论来解释复合材料中增强材料在有限浓度下的相互作用。复合材料的有效弹性模量表示为其成分的相性质，体积分数，取向角的函数。作者先前导出的旋转连续纤维增强复合材料轴的有限元模型在这里扩展到了包含纤维夹杂物的情况，这是通过考虑这些有效弹性模量得出的。基于该模型，研究了固定轴的固有频率，旋转速度以及旋转轴的临界速度。结果表明，钢筋的含量和取向对复合材料轴的动力特性有很大的影响。

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