摘要
利用解析试函数法构造一个带旋转自由度广义协调超基膜元。根据弹性力学平面问题的控制方程和艾雷应力函数,求出问题完备的基本解析解,然后用其作为试函数并采用广义协调条件来构造单元:ATF-SCQ4θ。数值算例表明,该类单元精度高、对网格畸变不敏感,显示出良好的性能。
A generalized conforming plane element with drilling degrees of freedom is developed with analytical trial functions in this paper. From the governing equations of elastic plane problem and the Airy stress function, complete basic analytical solutions are first derived and then used as the trial functions to formulate the element: ATF-SCQ4θ. Numerical examples show that the proposed high precision element is free from mesh sensitivity and exhibits excellent performance.
出处
《工程力学》
EI
CSCD
北大核心
2005年第3期1-4,共4页
Engineering Mechanics
基金
国家自然科学基金(10272063)
高等学校博士学科点专项科研基金(20020003044)
清华大学基础研究基金(JC2002003)
全国优秀博士论文作者专项基金(200242)
中国博士后科学基金(2003033071)
