刚架结构变更定理与极限状态函数的连续生成

本文基于计算结构力学概念提出了刚架结构连续变更定理,用数值分析与递推公式相结合的方法连续生成结构极限状态函数,给出了结构退化为机构的新判据。由于引用了计算结构力学方法,重分析不必重新形成结构刚度阵,不必反复求逆矩阵,大大提高了计算效率。     

铰接结构极限状态函数的自动生成

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.     

The automatic generation of limit state function of hinged structure

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.