【摘要】 H.B.Jayaraman在80年代推导的悬链线索元有限元计算精度高,特别适用于精度要求比较高的大型索结构,但需要已知索原长。而索结构施工时通常是以控制索端张拉力或测量预应力状态下的索长来达到结构的设计应力状态。推导了索端张力及预应力状态下索长与索原长的增量函数关系,采用迭代方法求解索原长,计算稳定且收敛快。更多还原

【Abstract】 The catenary finite element deduced by H.B.Jayaraman in 1980抯 is very suitable to the calculation of large-scale cable structures for its higher precision compared to other cable finite elements. The initial unstressed length of catenary cable is indispensable in order to start the procedure proposed by H.B.Jayaraman. In practice, however, the desired stress level of cable structures is obtained through controlling the end tension forces of cables or measuring the stressed length of cables. This makes the application of catenary cable finite element difficult. In this paper, the incremental relationship between the stressed length or end tension forces and the unstressed length of cables is derived and the corresponding iterative procedure is presented. The results of three examples show that the method proposed in this paper is stable and quickly convergent.更多还原