基于解析试函数的广义协调四边形厚板元
TWO GENERALIZED CONFORMING QUADRILATERAL THICK PLATE ELEMENTS BASED ON ANALYTICAL TRIAL FUNCTIONS
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摘要: 本文构造两个广义协调四边形厚板元ATF-PQ4a和ATF-PQ4b.根据Mindlin-Reissner厚板理论的控制方程,首先求出其基本解析解,然后用其作为试函数来构造单元.数值算例表明,这两个单元不出现剪切闭锁,显示出良好的性能.Abstract: Two generalized conforming quadrilateral thick plate elements are developed in this paper. From the governing equations of Mindlin-Reissner plate theory, the fundamental analytical solutions are first derived and then used as the trial functions to formulate the element. Numerical examples show that the proposed elements, ATF-PQ4a and ATF-PQ4b, are free from shear locking and exhibit excellent performance.