铰接结构极限状态函数的自动生成

The Automatic Generation of Limit State Function of Hinged Structure

本文在结构可靠性分析中,以铰接结构为例,推导了结构连续变更定理,并将其用于生成杆件的极限状态函数,避免了由于结构拓扑不断变更引起的总刚度阵多次组装及多次求逆运算.引入了结构退化为机构的新判据,算例结果令人满意.

In this paper, the theorem of structure continual variation of truss structure in the analysis of structure reliability is derived, and it is used to generate limit state function automatically. We can avoid repeated assembly of global stiffness matrix and repeated inverse operations of the matrix caused by constant changes of structure topology. A new criterion of degenerate of the structure into mechanism is introduced. The calculation examples are satisfactory.