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目前塔机的非线性问题已引起人们的普遍关注,文献[1][2]分别给出了不同的计算式。但是文献[2]的作者在推导计算非线性变形的简便公式时,用一个1.1的扩大系数来避免多次迭代,这种处理方法是没有根据的。为了直观地理解非线性问题,下面用迭代法来推导一个计算塔机塔顶非线性水平位移的简便公式。首先将塔机塔身简化为一根悬臂柱。见图1。柱顶作用有轴向压力N和弯矩M。根据能量原理,外力所做的功与加载顺序无关,我们先将弯矩M加到塔顶,塔身产生横向
At present, the nonlinear problem of tower crane has aroused widespread concern. Different calculation formulas are given in [1] and [2] respectively. However, the author of [2] has no basis in deducing the simple formula for calculating nonlinear deformation by using an expansion factor of 1.1 to avoid multiple iterations. In order to intuitively understand the nonlinear problem, the following iterative method to derive a simple formula for calculating the tower top nonlinear horizontal displacement. First tower crane tower simplified into a cantilever column. see picture 1. The role of the top of the column axial pressure N and bending moment M. According to the energy principle, the work done by the external force has nothing to do with the loading sequence, we first add the bending moment M to the top of the tower, and the tower body produces a horizontal