一种三角形单元薄板剪力的求解方法

An analytic solution of shears in thin plate with triangular element

基于薄板三角形单元9个自由度和节点铰接下单元6个转角的关系,可使剪力仅由单元的6个转角自由度来进行表示,从而使得分析过程更加明确.基于上述关系推导了三角形薄板单元的剪力求解过程,然后给出了具体的分析步骤.最后通过一实例的计算值与理论值的比较证明该方法是正确可行的.

According to the relation between nine-freedom degree of triangular element and six-rotation degree in nodes pinned triangular element, six-rotation freedom in each triangular element with nodes pinned are used in calculation of shears so as to make the analytical process clearly. Derivation and analytical process of calculating shears in triangular element with finite element methods are given. Finally, comparison between calculation values and theoretical values is carried out with an example.