Study on the Natural Frequency of Underwater Complex Stress Structure

PDF(1227 KB)

Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (22) : 92-100.

Nian Yang 1 Luyun Chen 1 Hong Yi 1 Yong Liu 2

Author information +

History +

Abstract

Study the influence of underwater structure complex stress on the natural frequency, overcome the limitation that only consider the overall uniform stress distribution in the former study. The underwater structure often has complex stress because of their working environment, the complex stress and fluid structure interaction make it become a nonlinear eigenvalue problem which is difficult to solve. We take a cylindrical shell as an example and, based on the Flügge shell theory, consider the fluid structure interaction， make use of the orthogonality of specific order modes to derive the dynamic equation of an underwater complex stress structure. The stress-caused coupled fluid-loaded structural modes are calculated by means of a polynomial approximation and quadratic matrix linearization. In the case study, we calculate the natural frequency of different type of stress structure, compare and analyze the influence characteristic of different type stress.

Key words

complex stress / fluid-structure interaction / structure vibration / natural frequency

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

Nian Yang 1 Luyun Chen 1 Hong Yi 1 Yong Liu 2 . Study on the Natural Frequency of Underwater Complex Stress Structure[J]. Journal of Vibration and Shock, 2016, 35(22): 92-100

References

[1] Doong J L. Vibration and stability of an initially stressed thick plate according to a high-order deformation theory[J]. Journal of Sound and Vibration, 1987, 113(3): 425-440.
[2] Brunelle E J, Robertson S R. Vibrations of an initially stressed thick plate[J]. Journal of Sound and Vibration, 1976, 45(3): 405-416.
[3] 高永毅，刘德顺. 利用试验模态分析进行残余应力评估的研究[J]. 振动与冲击, 2005, 24(5)：111-114.
Gao Yong-yi, Liu De-shun. Studies on estimation of residual stress using modal analysis[J]. Journal of Vibration and Shock. 2005, 24(5)：111-114.
[4] Fung Y C, Seehler E E, KaPlan A. On the Vibration of Thin Cylindrieal Shells under Intemal Pressure[J]. Journal of the Aeronautical Science, 1957, 24(9): 650-660.
[5] Penzes L. E, Kraus H. Free vibration of initial stressed cylindrical shells having arbitrary homogeneous boundary conditions[J]. AIAA Journal, 1972, 10(10): 1309-1341.
[6] Liu Z, Li T, Zhu X, et al. The effect of hydrostatic pressure fields on the dispersion characteristics of fluid-shell coupled system[J]. Journal of Marine Science and Application, 2010, 9(2): 129-136.
[7] C.R. Fuller. The effects of wall diseontinuities on the propagation of flexural waves in cylindrieal shells[J]. Joumal of Sound and Vibration, 1981, 75(2): 207-228.
[8] Zhang X. M, Liu G. R, Lam K. Y. Vibration analysis of thin cylindrical shells using wave propagation approach[J]. Journal of Sound and Vibration, 2001, 239(3): 397-403.
[9] Zhang X. M, Liu G. R, Lam K.Y. Frequency analysis of cylindrical panels using a wave propagation approach[J]. Applied Acoustics, 2001, 62(5): 527-543.
[10] 朱大同. 充液圆柱壳的自振特性[J]. 力学学报, 1984, 16(2): 141-150.
Zhu Da-tong. On the free vibration of a circular cylindrical shell filled with liquied[J]. Theo.& Appl.Mech.Letters. 1984, 16(2): 141-150.
[11] 陈炉云, 李磊鑫, 张裕芳. 含局部预应力的圆柱壳结构声辐射特性分析[J]. 上海交通大学学报, 2014, 48(8): 78-64.
Chen Lu-yun, Li Lei-xing, Zhang Yu-fang. Characteristics anylysis of structural-acoustic of cylinder shell with prestress in local areas. Journal of Shanghai Jiao Tong University. 2014, 48(8) : 78-64
[12] 刘勇. 复杂预应力对圆柱壳结构动力特性影响研究[D]. 上海：上海交通大学, 2014
Liu Yong. A study of the impact on dynamic characteristics of cylindrical shell with complex initial stress[D]. Shanghai: Shanghai Jiao Tong University, 2014
[13] 熊健民，周俊荣，周金枝. 基于 ANSYS 预应力简支梁固有频率的研究[J]. 固体力学学报, 2008, 29: 158-161.
Xiong Jianmin, Zhou Jun-rong, Zhou Jin-zhi. Research of pre-stress simple-supported beam’s natural frequency based on ansys[J]. Chinese Journal of Solid Mechanics. 2008, 29: 158-161
[14] 何祚镛. 结构振动与声辐射[M]. 哈尔滨：哈尔滨工程大学出版社, 2001
He Zuo-yong. Structural Vibration and Radiation[M]. Harbin: Harbin Engineering University Press, 2001
[15] Zhang X. M. Frequency analysis of submerged cylindrical shells with the wave propagation approach[J]. Mechanical Science, 2002, 44: 1259-1273.
[16] Kirkup S M, Amini S. Solution of the Helmholtz eigenvalue problem via the boundary element method[J]. International Journal for Numerical Methods in Engineering, 1993, 36(2): 321-330.
[17] Giordano J A, Koopmann G H. State space boundary element–finite element coupling for fluid–structure interaction analysis[J]. The Journal of the Acoustical Society of America, 1995, 98(1): 363-372.
[18] 曹志远. 板壳振动理论[M]. 北京: 中国铁道出版社, 1989.
Cao Zhi-yuan. Vibration Theory of Plates and Shells. Beijing: Chinese Railway Press. 1989
[19] 张耀庭，汪霞丽，李瑞鸽. 预应力梁固有频率的试验研究[J]. 华中科技大学学报, 2007, 35（2）: 12-15.
Zhang Yaoting, Wang Xiali, Li Ruige. Experimental research on nature frequency of prestressed concrete beams [J]. J Huazhong Univ of Sci & Tech. 2007, 35(2): 12-15
[20] 张耀庭，汪霞丽，李瑞鸽. 全预应力梁振动频率的理论分析与试验研究[J]. 工程力学, 2007, 24（8）: 116-120.
Zhang Yaoting, Wang Xiali, Li Ruige. Experimental and theoretical research on vibration frequency of full-prestressed concrete beam[J].Engineering Mechanics. 2007, 24(8): 116-120
[21] 姜劲枫，王柏生. 预应力梁、板弯曲振动固有频率的研究. 第五届全国结构工程学术会议论文集（第二卷）,1996.
Jiang Jinfeng, Wang Bosheng. The natural frequency study of prestressed beam & plate bending vibration. The 5th China Structure Engineering Academic Conference, 1996.