摘要
本文综合广义协调元和SemiLoof元的优点,导出了一个具有十二自由度的薄板弯曲四边形单元LSL—Q12。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。按照广义协调的观点,着眼于保证网格细分时的协调性,使单元能通过分片检验。算例表明,此单元是一个高精度、低自由度、收敛可靠、适用于复杂边界的优质单元。
A quadrilateral element with 12 DOF for the bending of thin plates is formulated based on the concept of generalized compatibility and SemiLoof con-straints. The element DOFs include the conventional DOFs at corner nodesonly and the discrete compatibility conditions are only used in the formula-tion. This element can pass Irons' patch test and gives accurate results withless effort. It can be used to solve problems for elements with complicatedboundaries.
出处
《土木工程学报》
EI
CSCD
北大核心
1992年第5期1-8,共8页
China Civil Engineering Journal
基金
北方交通大学科研基金