Vibration characteristics analysis of laminated cylindrical shell with arbitrary boundary using spectral element method

PDF(2555 KB)

Journal of Vibration and Shock ›› 2025, Vol. 44 ›› Issue (9) : 37-44.

VIBRATION THEORY AND INTERDISCIPLINARY RESEARCH

Vibration characteristics analysis of laminated cylindrical shell with arbitrary boundary using spectral element method

WU Jianghai*1,2, ZHU Zhenhui1, HU Dongsen1, DUAN Yong1,2, YIN Zhiyong1,2

Author information +

History +

Abstract

With the increasing application of composite materials, their vibration characteristics have become a hot topic in related engineering and academic research. This article is based on the laminated theory and uses the spectral element method to establish a dynamic calculation model for laminated cylindrical shells, providing the dynamic stiffness matrix of laminated cylindrical shells. The correctness of the calculation method in this paper was verified by comparing it with the natural frequency and vibration displacement curve calculated by finite element method. Furthermore, this article analyzes the effects of elastic boundary stiffness at both ends on the natural frequency of laminated cylindrical shells. Mechanical impedance curves of laminated cylindrical shells in three directions are provided, and the influence of elastic boundaries on mechanical impedance is studied. Research has found that as the elastic stiffness at both ends increases, the natural frequency rises and the mechanical impedance resonance peak shifts towards higher frequencies. The research results of this article can provide reference for the acoustic design of laminated cylindrical shells in engineering.

Key words

spectral element method / laminated cylindrical shell / arbitrary boundary condition / vibration characteristics / impedance

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

WU Jianghai1, 2, ZHU Zhenhui1, HU Dongsen1, DUAN Yong1, 2, YIN Zhiyong1, 2. Vibration characteristics analysis of laminated cylindrical shell with arbitrary boundary using spectral element method[J]. Journal of Vibration and Shock, 2025, 44(9): 37-44

References

[1] Xie X, Jin G Y, Li W Y, et al. A numerical solution for vibration analysis of composite laminated conical, cylindrical shell and annular plate structures.[J] Composite Structures, 2014,Vol（111）：20-30.
[2] Li H C, Pang F Z, Wang X R, et al. Free vibration analysis for composite laminated doubly-curved shells of revolution by a semi analytical method. [J] Composite Structures, 2018,Vol（201）：86-111.
[3] Pang, F Z, Li H C, Chen H L, et al. Free vibration analysis of combined composite laminated cylindrical and spherical shells with arbitrary boundary conditions.[J] Mechanics of Advanced Materials and Structures , 2021, Vol(28): 182-199.
[4] He, D Z, Shi D Y, Wang Q S, et al. Wave based method (WBM) for free vibration analysis of cross-ply composite laminated cylindrical shells with arbitrary boundaries.[J] Composite Structures , 2019, (213): 284-298.
[5] Shi D Y, He D Z, Wang Q S, et al. Wave based method for free vibration analysis of cross-ply composite laminated shallow shells with general boundary conditions.[J] Materials 2019,Vol (12): 3808.
[6] Zarei M, G.H. Rahimi, and M. Hemmatnezhad. On the free vibrations of joined grid-stiffened composite conical-cylindrical shells. [J]Thin-Walled Structures , 2021,Vol(161): 107465.
[7] Zhu H Z , Wu J H .Free vibration of partially fluid-filled or fluid-surrounded composite shells using the dynamic stiffness method[J]. Acta Mechanica, 2020, Vol(231):1259–1273.
[8] 韩少燕,李榆银,高汝鑫.正交铺设复合材料层合圆柱壳自由振动分析的辛空间波方法[J].振动与冲击,2024,43(06):113-120.
HAN Shao-yan, LI Yu-yin, GAO Ru-xin. Symplectic wave-based method for the free vibration analysis of cross-ply composite laminated circular cylindrical shells [J]. Journal of Vibration and Shock, 2019,43(06):113-120.
[9] Ruxin G ,Yahui Z ,Xianbo S , et al.Forced vibration analysis of thin cross-ply laminated circular cylindrical shells with arbitrary boundary conditions using the symplectic wave-based method[J].Thin-Walled Structures,2023,190
[10] 孟硕,钟锐,王青山.三维夹层圆柱壳平稳随机响应分析[J].(2023-12-13).https://link.cnki.net/urlid/32.1349.TB.20231212.1333.002.
[11] 谭安全,刘敬喜,李天匀,等.复合材料层合圆柱壳的振动特性[J].船舶力学,2017,21(08):1035-1040.
TAN An-quan, LIU Jing-xi, LI Tian-yun, et al. Vibration characteristics of composite laminated cylindrical shells [J]. Ship Mechanics, 2017, 21(08): 1035-1040.
[12] 刘敬喜,谭安全,李天匀,等.复合材料层合圆柱壳中振动功率流特性[J].哈尔滨工程大学学报,2012,33(03):269-274.
LIU Jing-xi, Tan An-quan, Li Tian-yun, et al. Characteristics of the vibration power flow in a laminated composite cylindrical shell [J]. Journal of Harbin Engineering University, 2012, 33(03): 269-274.
[13] Liu J , He W , Xie D .Study on Vibrational Power Flow Propagation Characteristics in a Laminated Composite Cylindrical Shell Filled with Fluid[J].Shock and Vibration, 2018, 2018(PT.6):1-19.
[14] 瞿叶高,华宏星,谌勇,等.复合材料旋转壳自由振动分析的新方法[J].力学学报,2013,45(01):139-143.
QU Ye-gao, HUA Hong-xing, CHEN Yong, et al. A new method for Free Vibration Analysis of Composite Laminated Shells of Revolution [J]. Chinese Journal of Mechanical Mechanics, 2013, 45(01): 139-143.
[15] 张艳涛,靳国永,杨宇航,等.球-柱-球复合壳体结构声辐射建模及特性分析[J].哈尔滨工程大学学报,2023,44(01):138-145.
ZHANG Yan-tao, JIN Guo-yong, YANG Yu-hang, et al. Acoustic radiation modeling and analysis of sphere-cylinder-sphere composite shells [J]. Journal of Harbin Engineering University, 2023, 44(01): 138-145.
[16] 罗珊,李永胜,屈平,等.静水压下复合材料圆柱壳力学特性研究[J].中国造船,2021,62(04):35-51.
LUO Shan, LI Yong-sheng, QU Ping, et al. Research on Mechanical properties of Composite cylindrical shells under hydrostatic pressure [J]. Shipbuilding of China, 2021, 62(04): 35-51.
[17] 李晖,吕海宇,邹泽煜,等.热环境下纤维增强复合材料圆柱壳非线性振动分析与验证[J].航空学报,2022,43(09):701-711.
LI Hui, LV Hai-yu, ZOU Ze-yu, et al. Analysis and verification of nonlinear vibrations of fiber-reinforced composite cylindrical shells in thermal environment [J]. Acta Aeronautica et Astronautica Sinica, 2022, 43(09): 701-711.
[18] 仝博,李永清,朱锡,等.考虑铺层角的复合材料圆柱壳自由振动三维弹性准确解[J].声学学报,2020,45(03):415-424.DOI:10.15949/j.cnki.0371-0025.2020.03.014.
TONG Bo, LI Yong-qing, ZHU Xi, et al. Three-dimensional elastic exact solution for free vibration of composite cylindrical shells considering ply angle [J]. Acta Acoustica Sinica,2020,45(03):415-424.DOI:10.15949/j.cnki.0371-0025. 2020.03.014.
[19] 沈观林，胡更开. 复合材料力学[M]. 北京：清华大学出版社, 2006.
SHEN Guan-lin, HU Geng-kai. Mechanics of Composite Materials [M]. Beijing: Tsinghua University Press, 2006.
[20] A. W. Leissa, Vibration of shells[M]. Acoustical Society of America, 1993
[21] Zhang X M , Liu G R , Lam K Y .Coupled vibration analysis of fluid-filled cylindrical shells using the wave propagation approach[J].Applied Acoustics, 2001, 62(3):229-243.