杨莉,郝育新

• 1:北京信息科技大学机电工程学院

摘要(Abstract)：

在沿厚度方向线性变化的温度场中,对受机械载荷作用下的四边简支功能梯度材料柱面曲板的非线性振动特性进行了分析。假设柱面曲板上表面为陶瓷层,下表面为金属层,材料特性为沿厚度方向按幂律梯度变化。在考虑几何非线性与剪切变形情况下,运用一阶剪切变形理论和Hamilton原理建立了功能梯度材料柱面曲板的非线性动力学方程。并用Galerkin法将运动控制方程离散为5个自由度的非线性动力学系统,方程中保留了面内和转动惯性项的影响,利用数值分析方法,研究了在一定横向激励作用下,不同体积分数指数对圆柱壳的非线性动力行为的影响。结果表明,随着材料体积分数指数的增加,曲板的横向振幅和振动速度渐降低。

关键词(KeyWords)： 柱面曲板;功能梯度材料;非线性动力学

Abstract:

Keywords:

基金项目(Foundation): 北京市教委科研资助项目(SQKM201211232001);; 国家自然科学基金(11272063);; 北京市属高等学校高层次人才引进与培养计划(2013年-2015年)青年拔尖人才培育计划(CIT&CD201304112)

作者(Author): 杨莉,郝育新

DOI: 10.13289/j.issn.1009-6264.2013.09.007

参考文献(References)：

• [1]Efraim E,Eisenberger M.Exact vibration analysis of variable thickness thick annular isotropic and FGM plates[J].Journal of Sound and Vibration,2007,299(4-5):720-738.
• [2]Arciniega R A,Reddy J N.Large deformation analysis of functionally graded shells[J].International Journal of Solids and Structures,2007,42(6):2036-2052.
• [3]Ng T Y,Lam K Y,Liew K M,et al.Dynamic stability analysis of functionally graded cylindrical shell under periodic axial loading[J].International Journal of Solids and Structures,2001,38(8):1295-1309.
• [4]Pradhan S C,Loy C T,Lam K Y,et al.Vibration characteristics of functionally graded cylindrical shell under various boundary conditions[J].Applied Acoustics,2000,61(1):111-129.
• [5]Loy C T,Lam K Y,Reddy J N.Vibration of functionally graded cylindrical shells[J].International Journal of Mechanical Sciences,1999,41(3):309-324.
• [6]Prakash T,Ganapathi M,Supersonic flutter characteristics of functionally graded flat panels including thermal effects[J].Composite Structures,2006,72(1):10-18.
• [7]Ansari R,Darvizeh M.Prediction of dynamic behavior of FGM shells under arbitrary boundary conditions[J].Composite Structures,2008,85(4):284-292.
• [8]Pradyumna S,Bandyopadhyay JN.Free vibration analysis of functionally graded curved panels using a higher-order finite element formulation[J].Journal of Sound and Vibration,2008,318(1-2):176-192.
• [9]Zhang W,Hao Y X,Yang J.Nonlinear dynamics of FGM circular cylindrical shell with clamped-clamped edges[J].Composite Structures,2012,94(3):1075-1086.
• [10]Yang J,Shen H S.Free vibration and parametric resonance of shear deformable functionally graded cylindrical panels[J].Journal of Sound and Vibration,2003,261(5):871-893.
• [11]Nguyen Dinh Duc,Hoang Van Tung.Nonlinear analysis of stability for functionally graded cylindrical panels under axial compression[J].Computational Materials Science,2010,49(4):S313-S316.
• [12]Sobhani Aragh B,Yas M H.Three-dimensional free vibration of functionally graded fiber orientation and volume fraction cylindrical panels[J].Materials and Design,2010,31(8):4543-4552.
• [13]Reddy J N.Mechanics of Laminated Composite Plates and Shells:Theory and Analysis[M].New York:CRC Press,2004:473-475.

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