Free vibration characteristics of a composite thin-walled beam under hygrothermal environment

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Journal of Vibration and Shock ›› 2016, Vol. 35 ›› Issue (15) : 154-160.

MA Yan-long, LI Ying-hui

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Abstract

The free vibration characteristics of the composite thin-walled beam under hygrothermal environment are investigated in this paper. Firstly, the displacement field of the closed-section beam is given as well as the strain. The influence of hygrothermal environment on dynamic characteristics is taken into account through adding the strain of moisture and thermal expansion into the constitutive relation of single layer material .The multi-directional coupling motion equations of the composite beam are derived employing Hamilton's principle. The natural frequencies are obtained based on Galerkin method and assumed-modes method. The coupling vibrations of the typical composite beam construction, the circumferentially uniform stiffness (CUS), are discussed. The influence of temperature , moisture and ply angles on the natural frequencies is analyzed through numerical simulation.

Key words

Hygrothermal / Composite thin-walled beam / Free vibration / Natural frequency

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MA Yan-long, LI Ying-hui. Free vibration characteristics of a composite thin-walled beam under hygrothermal environment[J]. Journal of Vibration and Shock, 2016, 35(15): 154-160

References

[1]Jones R M. Mechanics of Composite Materials [M]. USA, Philadelphia: Taylor & Francis, Inc,1998.
[2] 陈烈民. 复合材料力学和复合材料结构力学[M]. 北京: 中国科学技术出版社, 2001.
Chen L M. Mechanics of Composite Material and Structure[M]. Beijing: China Science and Technology Press, 2001.
[3]沈观林，胡更开. 复合材料力学[M]. 北京: 清华大学出版社, 2006.
Shen G L, Hu G K. Mechanics of Composite Materials [M]. Beijing: Tsinghua University Press, 2006.
[4]Jiang B K, Xu J, Li Y H. Flapwise vibration analysis of a rotating composite beam under hygrothermal environment[J]. Composite Structures,2014,117:201-211.
[5]Shiau T N, Rao J S, Choi S T. Steady-state response and stability of rotating composite blades with frictional damping[J]. Journal of Engineering for Gas Turbines and Power, 1998,120:131-9.
[6]Patel B P, Ganapathi M, Makhecha D P. Hygrothermal effects on the structural behavior of thick composite laminates using higher-order theory[J]. Composite Structures, 2002, 56 : 25-34.
[7]杨加明，孙良新，吴丽娟，张一龙．湿热环境下复合材料层合板的几何非线性分析[J].工程力学, 2002, 8:517-520.
Yang J M, Sun L X, Wu L J, Zhang Y L. Nonlinear analysis of composite multilayered plate in hygorthermal environment[J]. Engineering Mechanics, 2002,8:517-520.
[8]Reddy J N. A simply higher-order theory for laminated composite plates[J]. Journal of Applied Mechanics, 1984, 51:745-752.
[9] Swamy N V, Sinha P K. Nonlinear free vibration analysis of laminated composite shells in hygrothermal environments[J].Composite Structures, 2007, 77:475 -483.
[10]蒋宝坤，张渲铃，李映辉，湿热环境对旋转复合材料梁摆振特性的影响[J].复合材料学报，2015,32(2)，579-585.
Jiang B K, Zhang X L, Li Y H. Influence of hygrothermal environment on lead-lag vibration characteristics of rotating composite beams[J]. Acta Materiae Compositae Sinica,2015,32(2):579-585.
[11]任勇生，代其义，孙丙磊，张纯金. 旋转几何非线性复合材料薄壁梁的自由振动分析[J].振动与冲击，2013，32（14）:139-147.
Ren Y S, Dai Q Y, Sun B L, Zhang C J. Free vibration of a rotating composite thin-walled beam with large deformation[J]. Journal of Vibration and Shock, 2013,32(14):139-147.
[12]Armanios E A, Badir A M. Free vibration analysis of anisotropic thin-walled beams[J]. AIAA Journal, 1995, 33(9):1990-1910.
[13]高淑英, 沈火明. 振动力学[M]. 北京，中国铁道出版社, 2011.
Gao S Y, Shen H M. Vibration Mechanics [M]. Beijing: China Railway Publishing House, 2011.
[14]益小苏，杜善义，张立同. 复合材料手册[M]. 北京，化学工业出版社，2009.
Yi X S, Du S Y, Zhang L T. Composite Manual[M]. Beijing: Chemical Industry Press, 2011