【作者】 姚伟岸； 王珊；

【Author】 YAO Wei-an,WANG Shan(State Key Laboratory of Structural Analysis for Industrial Equipment,Dalian University of Technology,Dalian,116024,China)

【机构】 大连理工大学工业装备结构分析国家重点实验室；

【摘要】 利用辛对偶体系所提供的两直边自由的环扇形薄板弯曲问题的解析辛本征函数,本文构造出具有任意高阶精度的薄板弯曲问题的一类解析奇异单元,它可很好地描述任意V型切口及裂纹尖端附近的局部应力奇异性质。数值算例结果表明本方法具有计算量小、精度高的优点,是含边缘奇性的薄板弯曲问题的一个有效分析方法。更多还原

【Abstract】 By using the analytical symplectic eigenfunctions of the annular sector thin plate with both straight sides free,an analytical singular element with arbitrary high order precision is constructed in this paper,which can be used to describe the local stress singularities near an arbitrary V-notch or a crack tip.The numerical results show that,the present method has high efficiency and accuracy and is an effective technique for analysis of thin plate bending problems with boundary stress singularities.更多还原