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索网结构的施工张拉成形过程是不稳定平衡状态求解过程,在此过程中机构和弹性位移相互耦合。基于索无应力长度,采用解析抛物线索单元,考虑弹性变形和张力关系;利用铰接体系平衡矩阵理论求解节点不平衡力向量,避免机构刚度矩阵奇异求解难题;最后,用动力松弛法求解将这一耦合问题解耦。算例表明,该方法能求解张力结构成形过程中的不稳定平衡状态,且通过改变主动索无应力长度可模拟施工张拉成形过程;当无节点荷载或节点荷载很小时,抛物线单元与杆单元分析差别较大,表明采用抛物线索单元是合理的。
Cable network construction of the tension forming process is unstable equilibrium state solution process, in which the mechanism and the elastic displacement mutual coupling. Based on the stress-free length of the cable, parabolic cords are used to analyze the relationship between elastic deformation and tension. The equilibrium matrix theory of the articulated system is used to solve the unbalance force vector to avoid the singularity problem of the stiffness matrix. Finally, the dynamic relaxation method is used to solve this problem. Decoupling of coupling problems. The numerical results show that this method can solve the unstable equilibrium during the forming process of tensioned structures and can simulate the tensioning process by changing the stress-free length of the active cable. When no node load or node load is small, the parabola and rod elements The analysis is quite different, indicating that it is reasonable to use parabolic cues.