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推导了平面预应力索网变形曲面的偏微分方程,给出了匀布荷载、匀布拉力下不考虑几何非线性的一种级数解;通过改变变形后索拉力得到了考虑索网结构大变形几何非线性影响的迭代求解法;通过工程实例验证了级数解迭代法计算索网变形和索拉力大小的准确性。所给出的级数解迭代方法收敛快、误差小,便于在工程中应用。
The partial differential equation of plane deformation surface of plane prestressing cable network is deduced, and a series solution is obtained under uniform load and uniform tension without geometric nonlinearity. By changing the post-tensioning cable tension, Iterative method to solve the nonlinear effect of deformation geometry. The accuracy of iterative method to calculate the deformation of the cable network and the size of cable tension is verified by engineering examples. The given iteration method of series solution converges quickly and the error is small, so it is easy to be applied in engineering.