含裂纹构件的屈曲载荷是结构是否安全的判定准则之一,其计算与分析也是结构健康监测和安全评价中关注的重要问题.基于Euler-Bernoulli梁理论和Timoshenko梁理论,建立了一种求解含裂纹功能梯度材料梁的屈曲载荷计算方法.首先裂纹导致的构件截面转角不连续性由转动弹簧模型进行模拟,再根据功能梯度材料Euler-Bernoulli梁和Timoshenko梁的屈曲控制方程及其闭合解,由传递矩阵法建立了求解含裂纹功能梯度材料梁在多种边界条件下屈曲载荷的循环递推公式和特征行列式,使问题通过降阶的方法得到快速准确的解答.数值算例研究了剪切变形、裂纹的不同数目及位置、材料参数变化、长细比和不同边界约束条件等对含裂纹功能梯度材料梁屈曲载荷的影响.结果表明该方法可以简单、方便和准确地计算不同数目裂纹和任意边界条件下功能梯度材料梁的屈曲问题.
参考文献
| [1] | Liebowitz H,Vandervelt H,Harris D W.Carrying capacity of a notched beam[J].International Journal of Solids and Structures,1967,3(4):489-500. |
| [2] | Dimarogonas A D,Paipetis S A.Rotor dynamics[M].London:Elsevier,1983:56-57. |
| [3] | Wang Q,Quek S T.Repair of cracked beam under axially compressive load via piezoelectric patch[J].Computers and Structures,2005,83(15):1355-1363. |
| [4] | Kikidis M L,Papadopoulos C A.Slenderness ratio effect on cracked beam[J].Journal of Sound and Vibration,1992,155(1):1-11. |
| [5] | Zhou L,Huang Y.Crack effect on the elastic buckling behavior of axially and eccentrically loaded beams[J].Structural Engineering and Mechanics,2006,22(2):169-184. |
| [6] | Li Q S.Buckling of multi-step cracked columns with shear deformation[J].Engineering Structures,2001,23(4):356-364. |
| [7] | Noda N.Thermal stresses in functionally graded materials[J].J Thermal Stresses,1999,22(4):477-512. |
| [8] | Yang J,Chen Y.Free vibration and buckling analyses of functionally graded beams with edge cracks[J].Composite Structures,2008,83(1):48-60. |
| [9] | Erdogan F,Wu B H.The surface crack problem for a plate with functionally graded properties[J].Journal of Applied Mechanics,ASME,1997,64(3):448-456. |
| [10] | Guo L C,Wu L Z,Zeng T,Ma L.The dynamic fracture behavior of a functionally graded coating-substrate system[J].Composite Structures,2004,64(3):433-441. |
| [11] | 果立成,吴林志,杜善义.含任意方向裂纹功能梯度材料的应力分析研究[J].复合材料学报,2004,21(1):84-89.Guo Licheng,Wu Linzhi,Du Shanyi.Stress analysis of functionally graded materials with an arbitrarily oriented crack[J].Acta Materiae Compositae Sinica,2004,21(1):84-89. |
| [12] | 陈浩然,于瑾,白瑞祥.含分层损伤复合材料等三角形格栅加筋板的起裂和扩展过程研究[J].复合材料学报,2008,25(2):173-177.Chen Haoran,Yu Jin,Bai Ruixiang.Study on delamination onset and growth process for composite advanced isogrid stiffened structures (AGS)[J].Acta Materiae Compositae Sinica,2008,25(2):173-177. |
| [13] | Broek D.Elementary engineering fracture mechanics[M].New York:Martinus Nijhoff Publishers,1986:35-36. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%