Vibration analysis for plate-shell coupled structures under complex boundary conditions

PDF(1640 KB)

Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (15) : 270-276.

DAI Lu1,LIN Yuansheng1,LIU Yong1,BAI Fan1,WU Jun1,YANG Tiejun2

Author information +

History +

Abstract

Plate-shell coupled structures are extensively applied in practical engineering fields. The dynamic characteristics of plate-shell coupled structures become a study topic receiving many attentions. Here, an analysis model for vibration of plate-shell coupled structures under complex boundary conditions was constructed. Each displacement of a plate-shell coupled structure system was described with two-dimensional improved Fourier series. The complex boundary conditions were simulated with different combinations of elastic restraints. 4 types of coupling springs were introduced to fully consider mechanical coupling effects among bending moments, transverse shear forces, in-plane longitudinal forces and in-plane shear forces on structures’ interfaces. Furthermore, based on Hamilton's principle and Rayleigh-Ritz method, the characteristic equation of the plate-shell coupled structural system was derived and the system vibration responses were gained. The study results showed that the correctness of the proposed method is verified through comparing the calculated results using the proposed method with those published in literatures and tests; the established analysis model for plate-shell coupled structure systems here is applicable to various complex boundary conditions, and it is a reliable and effective analysis means; the results provide an analysis model basis for vibration analysis and dynamic design of complex coupled structures.

Key words

plate-shell coupled structure / improved Fourier series / complex boundary / vibration analysis

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

DAI Lu1,LIN Yuansheng1,LIU Yong1,BAI Fan1,WU Jun1,YANG Tiejun2. Vibration analysis for plate-shell coupled structures under complex boundary conditions[J]. Journal of Vibration and Shock, 2018, 37(15): 270-276

References

[1] Peterson M R, Boyd D E. Free vibrations of circular cylinders with longitudinal, interior partitions [J]. Journal of Sound and Vibration, 1978, 60(1): 45-62.
[2] Langley R S. A dynamic stiffness technique for the vibration analysis of stiffened shell structures [J]. Journal of Sound and Vibration, 1991, 156(3): 521-540.
[3] Huang D T, Soedel W. Natural frequencies and modes shapes of a circular plates welded to a circular cylindrical shell at arbitrary axial positions [J]. Journal of Sound and Vibration, 1993, 163: 403-427.
[4] Yim J S, Shon D S, Lee Y S. Free vibration of clamped-free circular cylindrical shell with a plate attached at arbitrary axial position [J]. Journal of Sound and Vibration, 1998, 213: 75-88.
[5] Missaoui J, Cheng L, Richard M J. Free and forced vibration of a cylindrical shell with a floor partition [J]. Journal of Sound and Vibration, 1996, 190(1): 21-40.
[6] Lee Y S, Choi M H. Free vibrations of circular cylindrical shells with an interior plate using the receptance method [J]. Journal of Sound and Vibration, 2001, 248(3): 477-497.
[7] Lee Y S, Choi M H, Kim J H. Free vibrations of laminated composite cylindrical shells with an interior rectangular plate [J]. Journal of Sound and Vibration, 2003, 265: 795-817.
[8] Wang Z H, Xing J T, Price W G. A study of power flow in a coupled plate-cylindrical shell system [J]. Journal of Sound and Vibration, 2004, 271: 863-882.
[9] 王宇，罗忠. 薄壁圆柱壳构件受迫振动的响应特征研究[J]. 振动与冲击，2015, 34(7): 103-108.
WANG Yu, LUO Zhong. Forced vibration response characteristics of thin cylindrical shell [J]. Joural of Vibration and Shock, 2015, 34(7): 103-108.
[10] 杨明月，孙玲玲，王晓乐. 两端剪力薄膜支撑圆柱壳体的点导纳特性[J]. 振动与冲击，2014, 33(23): 100-105.
YANG Ming-yue, SUN Ling-ling, WANG Xiao-le. The point mobility of circular cylindrical shells with both ends shear diaphragms supported [J]. Joural of Vibration and Shock, 2014, 33(23): 100-105.
[11] 石焕文，盛美萍，孙进才，等. 加纵肋平底圆柱壳振动和声辐射的FEM/BEM研究[J]. 振动与冲击，2006, 25(2): 88-92.
SHI Huan-wen, SHENG Mei-ping, SUN Jin-cai, et al. On FEM/BEM for the problems of vibration and acoustic radiation from an axially stiffened cylindrical shell with two and plates [J]. Joural of Vibration and Shock, 2006, 25(2): 88-92.
[12] 吴仕昊，瞿叶高，华宏星. 圆锥壳-圆柱壳-球壳组合结构自由振动分析[J]. 振动与冲击，2013, 32(6): 109-120.
WU Shi-hao, QU Ye-gao, HUA Hong-xing. Free vibration analysis of joined conical-cylindrical-spherical shells [J]. Joural of Vibration and Shock, 2013, 32(6): 109-120.
[13] Soong T C. Buckling of stiffened cylindrical shells with circular arc cross-section [J]. Aeronautical Quarterly, 1970, 263-279.
[14] Hu W C L, Raney J P. Experimental and analytical study of vibrations of joined shells [J]. American Institute of Aeronautics and Astronautics Journal, 1967, 5: 876-890.
[15] Steeves E C, Durling B J, Walton W C. A method for computing the response of a general axisymmetric shell with an attached asymmetric structure [J]. Proceedings of the AIAA Structural Dynamics and Aero-elasticity Specialists Conference.1969, 302-328.
[16] Hurty W C. Dynamic analysis of structural systems using component modes [J]. American Institute of Aeronautics and Astronautics Journal, 1965, 3: 678-685.
[17] DAI Lu, YANG Tie-jun, SUN Yao, et al. Influence of boundary conditions on the active control of vibration and sound radiation for a circular cylindrical shell [J]. Applied Mechanics and Materials, 2011, 66: 1270-1277.
[18] 高跃飞. 结构动力学边界条件优化设计及工程实现方法研究 [D]. 西安：西北工业大学, 2005.
[19] DAI Lu, YANG Tie-jun, Li W L, et al. Dynamic analysis of circular cylindrical shells with general boundary conditions using modified Fourier series method [J]. Journal of Vibration and Acoustics, 2012, 134(4): 041004.
[20] Flügge W. Stresses in shells [M]. Berlin: Springer-Verlag, 1962.