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索杆张力结构的施工成形本质上是通过缩短主动张拉索长度来驱动的,因此其成形过程可通过一系列随张拉索长度变化引起的连续平衡构型来模拟.由于施工过程中结构几何的不稳定性,通常采用动力松弛法进行这种松弛索杆系统平衡形态的求解以避免建立系统的刚度矩阵.将张拉索长度作为控制变量,在动力松弛法基础上引入了一个位移约束方程.进而提出了一种显式弧长策略来实现索杆张力结构成形过程的自动跟踪求解.该方法的优点是在求解过程中通过限制控制变量的增量以使结构位移保持恒定增加,因而求得的成形过程较常规方法更平稳,甚至可跟踪到可能存在的奇异构型.对一个索穹顶算例进行了的成形分析,计算结果反映了本文方法的精确性和有效性.
The construction of the cable tension structure is essentially driven by shortening the length of the active tension cable so that its forming process can be modeled by a series of continuous equilibrium configurations due to changes in the length of the cable.Because the geometry of the structure during construction , The dynamic relaxation method is usually used to solve the equilibrium form of this relaxation cable system to avoid the establishment of the stiffness matrix of the system.By using the length of the cable as the control variable, a displacement constraint equation is introduced based on the dynamic relaxation method .An explicit arc length strategy is proposed to realize the automatic tracking of cable rod tension structure forming process.The advantage of this method is that by limiting the increment of control variables to keep the structural displacement constant in the process of solving, The obtained forming process is more stable than the conventional method, and even the possible strange configurations can be tracked.The forming analysis of a cable dome study shows that the calculation results reflect the accuracy and effectiveness of the proposed method.