期刊文献+

不同边界条件正交各向异性中厚板的振动与稳定分析 被引量:3

Vibration and Stabililty Analysis of Middle Thickhess Orthotropic Laminates with Various Boundary Conditions
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摘要 本文采用高阶剪切变形理论对正交各向异性中厚矩形板进行振动与稳定分析,数值计算采用样条有限点法,得出了六种不同边界条件矩形板的自振频率和屈曲载荷,并与相应的经典板理论的结果进行比较.结果说明横向剪切变形对复合材料层合板的影响与板的各向异性程度、板的宽厚比(b/h)、层合板的层数和板的支承条件有关,它随着层合板各向异性程度的增加而增加,随着层合板宽厚比的增加而逐渐消失. The vibration and stability of middle thickness orthotropic laminates are analysed by using higherorder shear deformation theory. The spline finite point method is used in numerical calculations. Natural frequencies and buckling loads of the laminates with six types of boundary conditions are obtained and compared with the corresponding ones from the classical plate theory. From these results, it is seen that the effect of transverse shear deformation on composite lanimates is significant and depends on the anisotropy、 the ratios of width-thickness b/h and the supported conditions. It increases as the material anisotropy increases and disappears with increasing the ratios of width-thickness b/h.
出处 《应用力学学报》 CAS CSCD 北大核心 1992年第2期143-148,167,共6页 Chinese Journal of Applied Mechanics
基金 冶金部有偿资助课题
关键词 剪切变形 各向异性 振动 稳定性 shear deformation anisotropy width-thickness ratio natural frequeny buckling load
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参考文献4

  • 1沈大荣,武汉工业大学学报,1988年,10卷,1期,19页
  • 2秦荣,结构力学的样条函数方法,1985年
  • 3胡海昌,弹性力学的变分原理及其应用,1981年
  • 4钱伟长,变分法及有限元.上,1980年

同被引文献18

  • 1Lessia. A W. A review of laminated composite plate buckling [J]. Applied Mechanics Reviews, 1987, 40(5): 575-591.
  • 2Geier B, Meyer-Piening H-R, Zimmermann R. On the influence of laminate stacking on buckling of composite cylindrical shells subjected to axial compression [J]. Composite Structures, 2002, 55: 467-474.
  • 3Ambartsumian S A. Theory of anisotropic shells [R]. NASATT F-118, 1964.
  • 4Rikards R, Chate A K. Vibration and damping analysis of laminated composite and sandwich shells [J]. Mechanics of Composite Materials, 1997, 4: 209-240.
  • 5Mao Renjie, Lu C-H. Buckling analysis of a laminated cylindrical shell under torsion subjected to mixed boundary conditions [J]. International Journal of Solidsand Structures, 1999, 36:3821-3825.
  • 6Soldators K E Nonlinear analysis of transverse shear deformable laminated composite cylindrical shells Part l& 2 [J]. ASME Journal of Pressure Vessel Technology, 1992, 114: 105-109.
  • 7Reddy J N. A simple high-order theory for laminated composite plates [J]. ASME Journal of Applied Mechanics, 1984, 51: 745-752.
  • 8Reddy J N, Liu C F. A higher-order shear deformation theory of laminated elastic shells [J]. International Journal of Solids and Structures, 1985, 23(3): 319-348.
  • 9Prusty B G~ Free vibration and buckling response of hat-stiffened composite panels under general loading [J]. International Journal of Mechanical Sciences, 2008, 50: 1326-1333.
  • 10Kim Ki-Du, Lee Chang-Soo, Han Sung-Cheon. A 4-node co-rotational ANS shell element for laminated composite structures [J]. Composite Structures, 2007, 80: 234-252.

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