首页> 外文期刊>Composite Structures >Vibrations of cracked rectangular FGM thick plates
【24h】

Vibrations of cracked rectangular FGM thick plates

机译:矩形FGM厚板破裂的振动

获取原文
获取原文并翻译 | 示例
           

摘要

Accurate first-of-its-kind solutions of the free vibration characteristics of side-cracked rectangular functionally graded material (FGM) thick plates are reported. From a brief review summary of available shear deformable plate theories, the well-established Reddy third-order plate theory apropos to cracked FGM thick plates is utilized. A novel Ritz procedure is developed incorporating special admissible functions -appropriately named in this study as crack functions - that properly account for the stress singularity behaviors in the neighborhood of a crack tip, and that properly account for the discontinuities of displacements and slops across a crack. Material properties of the FGM plates are assumed to vary continuously in the thickness direction according to the Mori-Tanaka scheme or a simple power law. The proposed special admissible functions accelerate the convergence of the extensive non-dimensional frequency solutions summarized. The first known non-dimensional frequencies of simply-supported and cantilevered cracked aluminum (Al) and ceramic (zirconia (ZrO_2)) or alumina (A1_2O_3) FGM thick plates of moderate thickness ratio (side-length to plate thickness, b/h = 10) are accurately determined. The effects of the volume fraction in the modeling of material distribution in the thickness direction and of cracks with different lengths, locations and orientations on the non-dimensional frequencies are investigated.
机译:报告了侧裂矩形功能梯度材料(FGM)厚板的自由振动特性的精确的首创解决方案。从可用剪力变形板理论的简要综述中,可以利用成熟的Reddy三阶板理论(适用于破裂的FGM厚板)。开发了一种新颖的Ritz程序,该程序结合了特殊的可允许函数(在本研究中被适当称为裂纹函数),该函数正确地解释了裂纹尖端附近的应力奇异行为,并正确地解释了位移和倾斜在裂缝上的不连续性。假定FGM板的材料性能根据森-塔纳卡(Mori-Tanaka)方案或简单幂定律在厚度方向上连续变化。拟议的特殊允许函数加快了概括的广泛无量纲频率解的收敛速度。已知的简单支撑和悬臂式裂纹铝(Al)和陶瓷(氧化锆(ZrO_2))或氧化铝(A1_2O_3)FGM厚板的中等尺寸比(边长与板厚,b / h = 10)准确确定。研究了体积分数对材料在厚度方向上的分布以及不同长度,位置和方向的裂纹对无量纲频率的影响。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱:kefu@zhangqiaokeyan.com

京公网安备:11010802029741号 ICP备案号:京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有
  • 客服微信

  • 服务号