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功能梯度材料剪切板热屈曲后的非线性振动 被引量：11

Nonlinear vibration of thermally postbuckled FGM plates
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摘要 基于Reddy高阶剪切变形理论及广义Kármán型方程,对功能梯度材料剪切板热屈曲后的非线性振动进行了分析,分析中考虑了材料热物参数对温度变化的依赖性。数值算例给出两类功能梯度材料剪切板在均匀温度场作用下的热荷载-线性振动频率及热荷载-非线性振动频率比曲线,讨论了材料组分指数变化所带来的影响。 This paper deals with nonlinear free vibration of thermally postbuckled FGM plates, Temperature-dependent material properties are taken into account. The formulations are based on Reddy＇ s higher order shear deformation plate theory and general yon Karman-type equation. The numerical illustrations concern vibration characteristics of thermally postbuckled FGM plates subjected to uniform temperature rise. Two types of FGM plates are considered and the effects of volume fraction index are studied.
作者 夏贤坤 沈惠申
机构地区 上海交通大学船舶海洋与建筑工程学院
出处 《振动工程学报》 EI CSCD 北大核心 2008年第2期120-125,共6页 Journal of Vibration Engineering
基金 国家自然科学基金资助项目(50375091)
关键词 功能梯度材料 剪切板 热后屈曲 非线性振动 functionally graded materials shear deformable plate thermally postbuckled nonlinear vibration
分类号 O342 [理学—固体力学] O322 [理学—一般力学与力学基础]
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参考文献11

  • 1沈惠申.功能梯度复合材料板壳结构的弯曲、屈曲和振动[J].力学进展,2004,34(1):53-60. 被引量：90
  • 2Yang J, Shen H S, Dynamic response of initially stressed functionally graded rectangular thin plates [J]. Composite Structures , 2001,54: 497-508.
  • 3Yang J, Shen H S. Vibration characteristics and transient response of shear deformable functionally graded plates in thermal environment[J]. Journal of Sound and Vibration, 2002, 2551:579-602.
  • 4Huang X L, Shen H S. Nonlinear vibration and dynamic response of functionally graded plates in thermal environments[J]. International Journal of Solids and Structures, 2004,41:2403-2427.
  • 5Kitipornchai A, Yang J, Liew KM. Semi-analytical solution for nonlinear vibration of laminated FGM plates with geometric imperfections[J]. International Journal of Solids and Structures,2004.41:2235-2257.
  • 6Park J S, Kim JH. Thermal postbuckling and vibration analyses of functionally graded plates[J]. Journal of Sound and Vibration, 2006, 289: 77-93.
  • 7Shen H S. Postbuckling of FGM plates with piezoelectric actuators under thermo-eleetro-meehanieal loadings[J]. International Journal of Solids and Structures, 2005, 42:6101-6121.
  • 8Shen H S. Thermal postbuekling behavior of shear deformable FGM plates with temperature-dependent properties[J]. International Journal of Meehanieal Sciences, 2007, 49: 466-478.
  • 9Reddy J N. A refined nonlinear theory of plates with transverse shear deformation[J]. International Journal of Solids and Struetures, 1984, 20: 881-896.
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二级参考文献82

  • 1Woo J, Meguid S A. Nonlinear analysis of functionally graded plates and shallow shells. International Journal of Solids and Structures, 2001, 38:7409～7421
  • 2Ma L S, Wang T J. Nonlinear bending and post-buckling of a functionally graded circular plate under mechanical and thermal loadings. International Journal of Solids and Structures, 2003, 40:3311～3330
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  • 6Cheng Z Q, Batra R C. Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plates. Journal of Sound and Vibration,2000, 229 (4): 879～895
  • 7Reddy J N, Cheng Z Q. Frequency correspondence between membranes and functionally graded spherical shallow shells of polygonal planform. International Journal of Mechanical Sciences, 2002, 44:967～985
  • 8Javaheri R, Eslami M R. Buckling of functionally graded plates under in-plane compressive loading. ZAMM, 2002,82 (4): 277～283
  • 9Javaheri R, Eslami M R. Thermal buckling of functionally graded plates. AIAA Journal, 2002, 40 (1): 162～169
  • 10Javaheri R, Eslami M R. Thermal buckling of functionally graded plates based on higher order theory. Journal of Thermal Stresses, 2002, 25 (7): 603～625

共引文献89

同被引文献87

引证文献11

二级引证文献69

振动工程学报
2008年 第2期

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