| 周立明,孟广伟,李鹏,李锋,李霄琳.复合材料层合板的摄动随机Cell-Based光滑有限元[J].计算力学学报,2014,31(4):419~424 |
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| 复合材料层合板的摄动随机Cell-Based光滑有限元 |
| Perturbation stochastic Cell-Based smoothed finite element method for laminated composite plates |
| 投稿时间：2013-01-28 修订日期：2013-09-23 |
| DOI：10.7511/jslx201404002 |
| 中文关键词: 摄动随机Cell-Based光滑有限元 剪切自锁 高斯随机场 复合材料层合板 |
| 英文关键词:Perturbation stochastic Cell-Based smoothed finite element method shear locking gaussian random field laminated composited plates |
| 基金项目:国家重大科学仪器设备开发专项（2012YQ030075）；国家自然科学基金（51305157）；吉林省科技厅基金（201215048，201205011，20130305006GX）资助项目. |
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| 中文摘要: |
| 随机性是实际工程结构的固有特性，如何更真实地描述含随机参数结构的随机响应及统计特性，对工程结构的可靠性设计具有非常重要的意义。本文基于Cell-Based光滑有限元，采用四边形单元，推导了基于一阶剪切变形理论的复合材料层合板的光滑有限元公式，降低了网格划分要求，适应不规则网格，并采用离散剪切间隙有效地消除了剪切自锁；结合摄动法和随机场理论，导出了复合材料层合板的摄动随机光滑有限元平衡方程，并给出了结构随机响应数字特征的计算公式，求解了材料属性含随机性的复合材料层合板的随机响应问题，数值算例结果表明了本方法的有效性和准确性。 |
| 英文摘要: |
| The randomness is the inherent characteristics of the practical engineering structures, and it has great practical significance for the reliability design of the engineering structures to describe the random response and statistics of response of the structures with random parameters truly.The smoothed finite element formulations of laminated composite plates based on the first-order shear deformation theory were derived adopting quadrilateral element the based on Cell-Based smoothed finite element, and the demand of the mesh generation was decreased so that the elements are allowed to be of arbitrary shapes, the shear locking was eliminated by using discrete shear gap.The equilibrium equation of the perturbation random smoothed finite element and the numerical characteristics of structural random responses were derived by combining the perturbation method and random field theory.The random responses of the laminated composite plates with the random material properties were solved, and the numerical results indicate that the approach proposed is correct and feasible. |
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