采用SemiLoof型约束条件的薄板三角形广义协调元

GENERALIZED CONFORMING THIN PLATE TRIANGULAR ELEMENT BY USING SEMILOOF CONSTRAINTS

本文综合广义协调元和SemiLoof元的优点,消除其缺点,建立一个九自由度三角形薄板单元。单元自由度只含常规的角点自由度,不采用SemiLoof元还包含边点自由度的复杂作法。着眼于广义协调,克服了某些非协调元不能通过分片检验的致命弱点。采用SemiLoof型约束条件,即全部采用离散型(点型)协调条件,不采用广义协调元通常采用的积分型协调条件的复杂作法。从简便实用、高精度和收敛可靠进行全面衡量,本单元是同类低阶薄板单元中的最优单元。

In this paper, the merits of both generalized conforming element and Semi-Loof element are utilized to establish a nine-DOF triangular thin plate element..By using the concept of generalized conforming element, the present element can pass Irons' patch test. By using semiLoof constraints, only discrete (point) compatibility conditions ate used. This new element is the best nine-DOF triangular thin plate bending element currently available.