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基于修正的拉格朗日坐标描述法,推导了空间纤绳单元的大位移刚度矩阵。将桅杆结构离散为空间纤绳单元和梁单元计算模型,建立了桅杆结构非线性平衡方程。采用增量Newton-Raphson迭代法求解方程。应用子空间迭代法求解桅杆结构低阶振型和周期。算例表明,提出的方法有很好的精度,可以有效地应用于桅杆结构静动力分析。
Based on the modified Lagrangian coordinate description method, the large displacement stiffness matrix of the defibrillation unit in space was deduced. The mast structure was discretized into a spatial cable element model and a beam element calculation model, and a nonlinear equilibrium equation of the mast structure was established. The incremental Newton-Raphson iteration method is used to solve the equation. Subspace iteration method is applied to solve the low-order vibration mode and period of the mast structure. Examples show that the proposed method has good accuracy and can be effectively applied to the static and dynamic analysis of mast structures.