含裂纹功能梯度材料板的固有频率：扩展有限元法
Natural frequencies of cracked functionally graded material plates by the extended finite element method
AI总结：
采用扩展有限元法研究含裂纹功能梯度材料板的线性自由弯曲振动，计算固有频率和振型，分析梯度指数、裂纹长度、取向和位置等参数的影响。
摘要：
本文采用扩展有限元法研究了含裂纹功能梯度材料板的线性自由弯曲振动。研究中使用了一种基于场和边缘一致性要求的四节点四边形板弯曲单元，每个单元具有20个自由度。计算了简支和夹紧方形及矩形板的固有频率和振型，作为梯度指数、裂纹长度、裂纹取向和裂纹位置的函数。还研究了厚度和多裂纹的影响。
英文摘要：
In this paper, the linear free flexural vibration of cracked functionally graded material plates is studied using the extended finite element method. A 4-noded quadrilateral plate bending element based on field and edge consistency requirement with 20 degrees of freedom per element is used for this study. The natural frequencies and mode shapes of simply supported and clamped square and rectangular plates are computed as a function of gradient index, crack length, crack orientation and crack location. The effect of thickness and influence of multiple cracks is also studied.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
