多椭圆孔硬涂层薄壁圆柱壳的动力学建模及分析

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振动与冲击 ›› 2025, Vol. 44 ›› Issue (12) : 141-149.

振动理论与交叉研究

多椭圆孔硬涂层薄壁圆柱壳的动力学建模及分析

胡云彤1，杨俊学2，张月1，魏德正1，杨建*1

作者信息 +

Dynamic modeling and analysis of hard-coated thin-walled cylindrical shells with multiple elliptical perforations

HU Yuntong1,YANG Junxue2,ZHANG Yue1,WEI Dezheng1,YANG Jian*1

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文章历史 +

摘要

针对多椭圆孔薄壁圆柱壳复合结构的动力学问题，本文提出了一种基于能量叠加原理的半解析建模方法。并结合Rayleigh-Ritz法、Love第一近似理论和第二类Chebyshev多项式，建立了多椭圆孔硬涂层薄壁圆柱壳复合结构自由振动的半解析模型。与实验固有频率的对比结果验证了该半解析模型的正确性和合理性。在此基础上，着重分析了开孔方案（包括轴长参数、轴向和周向开孔数）对结构振动与阻尼特性的影响规律。结果显示，与不开孔相比，开孔会导致固有频率下降，随着轴向开孔数的增加，固有频率呈现先下降后上升的趋势；随着椭圆轴长的增加，结构固有频率不断下降，且轴向开孔数越大，频率下降幅度越大；随着周向开孔数的增加，结构固有频率和模态损耗因子也均呈现出明显的下降趋势；但当周向均布孔数与周向波数成2倍关系时，结构固有频率均逐渐升高，模态损耗因子达到峰值。

Abstract

Regarding the dynamic problems of composite thin-walled cylindrical shells with multiple elliptical perforations, this paper proposes a semi-analytical modeling method based on the energy superimposition. Combined with the Rayleigh-Ritz method, Love's first approximation theory and second kind of Chebyshev polynomials, a semi-analytical model for free vibration of the hard-coated thin-walled cylindrical shells with multiple elliptical perforations uniformly distributed in the circumferential direction is established. The comparison between the calculated and experimental natural frequencies verifies the correctness and rationality of the semi-analytical model. On this basis, the influences of elliptical perforation schemes (including the axial length, axial and circumferential perforation numbers) on vibration and damping characteristics of the shell are analyzed emphatically. The results show that the perforations would first lead to a reduction in natural frequencies compared to non-perforated structures. As the axial perforation number increases, the natural frequencies show a trend of first decreasing and then increasing. As the length of the elliptical axis increases, the natural frequency of the shell continuously decreases, and the larger the axial perforations, the greater the frequency reduction. As the circumferential perforation number increases, the natural frequencies and modal loss factor of the shell also show a significant downward trend. However, when the circumferential perforation number is twice that of the circumferential wave, the natural frequencies gradually increase as well as the modal loss factor reaches its peak.

导出引用

胡云彤1, 杨俊学2, 张月1, 魏德正1, 杨建1. 多椭圆孔硬涂层薄壁圆柱壳的动力学建模及分析[J]. 振动与冲击, 2025, 44(12): 141-149

HU Yuntong1, YANG Junxue2, ZHANG Yue1, WEI Dezheng1, YANG Jian1. Dynamic modeling and analysis of hard-coated thin-walled cylindrical shells with multiple elliptical perforations[J]. Journal of Vibration and Shock, 2025, 44(12): 141-149

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