【作者】 王丽； 周志敏； 龙志飞；

【Author】 WANG li, ZHOU Zhimin, LONG Zhifei (China University of Mining and Technology, Beijing 100083)

【机构】 中国矿业大学力学与建筑工程学院；

【摘要】 本文构造了一个广义协调三角形厚薄板通用单元ATF-T9P。根据Mindlin-Reissner厚板理论的控制方程,先求出其基本解析解,然后用其作为位移试函数一部分来构造单元;另一部分为所引入的泡状位移场。对于薄板极限情况,这种厚薄板通用单元自动退化为原有的薄板单元,完全无剪切闭锁现象发生。数值算例表明单元ATF-T9P对薄板和厚板都具有较高的精度,适用于实际工程计算。更多还原

【Abstract】 In this paper, a generalized conforming triangular thick/thin plate element called ATF-T9P is developed. Based on the governing equations of Mindlin-Reissner plate theory, first the fundamental analytical solutions are derived, then used as the trial functions to formulate this element, then the bubble displacement is also be added.In the case of thin plate, this thick/thin plate element is degraded into corresponding thin plate element automatically and is free from shear locking. Numerical examples show that the proposed element, ATF-T9P, has a good precision for thick and thin plate.更多还原