中文摘要：

为研究主动单元长度变化对自适应索杆张力结构性能的影响,以主动单元伸长量为变量,基于非线性有限元法,通过复合函数求导,推导了自适应索杆张力结构的节点位移、单元内力以及应变能灵敏度计算公式.通过对索穹顶结构和张拉整体结构两类索杆张力结构的灵敏度分析,对比了主动索单元和主动杆单元的长度变化对结构内力、形状和应变能的影响程度,提出了满足不同自适应目标时两类结构中主动单元的选择准则.算例表明:所提出公式的计算结果与有限差分法结果一致,验证了所提理论公式的正确性.

英文摘要：

In order to investigate the influence of length changeable elements on behaviors of adaptive cable-strut tensile structures ,based on nonlinear finite element method ,in w hich the active elongation values of the changeable elements were employed as variables ,nodal displacement ,internal force and sensitivity calculating formulae of strain energy in the structures were deduced via composite function derivative .By applying the formulae deduced to a cable dome and a tensegrity structure ,the criterion of active-elongation-elements choosing for internal forces adjustment as well as shape adjustment in the two types of structures were respectively put forward after comparisons of the sensitivities to in-ternal forces ,nodal displacements and strain energy caused by both cable and strut length changing actively .Case studies show that the results from the proposed formulae of sensitivity calculating agree well with those from finite difference method ,and the validity of the formulae proposed was verified .