基于膜板比拟理论的一个新的四边形薄板单元

平面弹性与板弯曲的相似理论为构造薄板单元提供了一条有效的新途径。由于避开了c1连续性的困难,使得薄板单元的构造变得简单。更为深入地讨论了该相似性理论的应用,并构造了一个新的四节点十六自由度薄板单元。数值结果表明,该单元能通过分片试验,具有良好的收敛性和精度。

A New Quadrilateral Thin Plate Element Based on the Membrane-Plate Similarity Theory

A new effective path has been proposed to formulate thin plate element by using the similarity theory between plane elasticity and plate bending. Because of avoiding the difficulty of c 1 continuity, the construction of thin plate elements becomes easier. The similarity theory and its applications were discussed more deeply, and a new four nodes, sixteen D.O.F(degree of freedom) thin plate element was presented on the base of the similarity theory. Numerical results for typical problems show that this new element can pass the patch test and has a very good convergence and a high precision.