高转速硬涂层阻尼薄壁圆柱壳的行波共振特性研究

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振动与冲击 ›› 2021, Vol. 40 ›› Issue (13) : 73-81.

论文

王宇，夏鑫，杨志宏，于晓光

作者信息 +

Traveling wave resonance characteristics of thin walled cylindrical shells

WANG Yu, XIA Xin, YANG Zhihong, YU Xiaoguang

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文章历史 +

摘要

基于Viogt-Reuss原理和传递矩阵法研究了高转速硬涂层阻尼薄壁圆柱壳构件的行波共振特性。根据复合结构的Viogt-Reuss等效原理，考虑科氏力的影响，基于Love薄壳理论建立了旋转态硬涂层薄壁圆柱壳的振动微分方程；引入传递矩阵法，根据壳体子段间的状态向量关系式推导得到了构件的整体传递矩阵；在固支-自由、简支-简支和固支-固支边界条件下，求解得到了构件的行波共振特性。结果表明:通过与文献中的数据进行比较验证了该分析方法的合理性，静止薄壁圆柱壳的第1阶模态振型不受硬涂层材料的影响，但是频率值发生了偏移，随着阶次的增加前六阶振动模态的顺序发生了变化；硬涂层材料对薄壁圆柱壳的模态振型无影响，但是NiCrAlY硬涂层比NiCrAlCoY+YSZ硬涂层薄壁圆柱壳对应的各阶静频值偏高。转速对硬涂层薄壁圆柱壳前六阶行波频率的影响较大，在工作转速和一倍频激振力作用下，共振裕度小于10%的共振临界转速点随着边界条件和硬涂层发生变化，共振模态随着共振点变化容易引起对应阶次的模态振动，硬涂层结构改变了薄壁圆柱壳的行波共振特性。

Abstract

Here, based on the principle of Viogt-Reuss and the transfer matrix method, traveling wave resonance characteristics of thin-walled cylindrical shells with high rotating speed and hard coating damping were studied. Firstly, according to Viogt-Reuss equivalent principle of composite structure, considering the influence of Coriolis force, the vibration differential equation of a thin-walled cylindrical shell with high rotating speed and hard coating damping was established based on Love thin-walled shell theory. Secondly, the transfer matrix method was introduced, the overall transfer matrix of the shell was derived according to relation formulas between state vectors of shell segments. Finally, under boundary conditions of fixed-free, simply supported-simply supported and fixed-fixed, traveling wave resonance characteristics of the shell were solved. The results showed that the rationality of the proposed analysis method is verified through comparing with the data published in literature; the first order modal shape of the static thin-walled cylindrical shell is not affected by hard coating material, but its modal frequency shifts, and the sequence of the first 6 order modes changes with increase in mode order; hard coating material has no effect on modal shape of the shell, but static-state natural frequency values of the shell with hard coating NiCrAlY are higher than those of the shell with hard coating NiCrAlCoY+YSZ; rotating speed has larger effects on the first 6 order traveling wave frequencies of the shell, under action of operating rotating speed and the excitation force with double-the first order modal frequency of the shell, the resonance critical rotating speed point with the resonance margin less than 10% changes with variation of boundary condition and hard coating, the varying of resonance mode with variation of resonance critical rotating speed point is easy to cause the corresponding order modal vibration; hard coating changes traveling wave resonance characteristics of thin-walled cylindrical shells.

导出引用

王宇，夏鑫，杨志宏，于晓光. 高转速硬涂层阻尼薄壁圆柱壳的行波共振特性研究[J]. 振动与冲击, 2021, 40(13): 73-81

WANG Yu, XIA Xin, YANG Zhihong, YU Xiaoguang. Traveling wave resonance characteristics of thin walled cylindrical shells[J]. Journal of Vibration and Shock, 2021, 40(13): 73-81

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