三角形薄板单元位移函数构造方法研究

A Construction Method of Interpolation Function on Triangle Thin-plate Element

3结点9自由度三角形薄板单元位移插值函数的构造,目前是通过使用面积坐标来完成的,而事实上,它也可以使用直角坐标来完成。首次给出了直角坐标系下三角形薄板单元位移函数的构造方法,指出了位移函数构造的实质,论证了多种位移函数的存在性,从而完善了九参数薄板单元的经典位移函数构造理论。

At present, construction of interpolation function on triangle thin plate element possessing three - node and nine - degree of freedom is achieved by area coordinate. But in fact, this can also be done by rectangular coordinate. In the paper, construction method of interpolation function of Cartesian coordinate on triangular thin - plate element is presented for the first time. Existence of multi - limited displacement function is demonstrated. The essence of nine - parameters plate element displacement is exhibited. So the construction theory is fully improved.