【作者】 郭永近；

【导师】 韦树英；

【作者基本信息】 广西大学 ， 结构工程， 2004， 硕士

【摘要】 本文基于连续化的数学模型，把多边形截面高耸钢塔简化为分段变刚度的悬臂梁，推导了高耸钢塔结构各层的等效抗弯及抗剪刚度。在结构静力分析中，使用了伽辽金法、分解刚度能量变分法和层单元法三种分析方法，前两种方法都使用结构等效抗弯及抗剪刚度随高度变化的连续函数，并把悬臂梁的侧向位移分为由弯曲变形引起的侧向位移和剪切变形引起的侧向位移两者的叠加来考虑，利用这两种分析方法进行求解，计算公式简单。第三种方法也是将结构首先连续化为分段变刚度悬臂梁，然后以横隔分开的各层作为两结点四自由度且考虑剪切作用的梁单元，利用求出的各层等效刚度，采用样条函数推导梁单元的单元刚度矩阵。该方法使结构自由度较一般有限元大大减少，因而计算简便，节省机时，且精度满足工程要求。在结构动力特性分析中，本文采用剪切型结构集中质量法和层单元法对结构进行动力特性分析，计算过程简单。最后本文采用所提出的方法和ANSYS分析软件对高耸钢塔结构具体算例进行了分析计算及对比。结果表明，本文所提方法计算简单且满足精度要求，是经济有效的计算方法。更多还原

【Abstract】 Based on mathematical model with continuous technique in this paper, the polygonal section high-rise steel tower is simplified as a cantilever beam with variable stiffness, and each floor’s equivalent bending and shearing stiffness are derived. In structural static force analysis, three analytical methods are introduced. They are Galerkin method, decomposed rigidities energy variational method and floor element method. The former two methods all make use of continuous function of structural equivalent bending and shearing stiffness that varies with height. The lateral displacement of cantilever beam is composed of lateral displacement aroused by bending deformation and lateral displacement aroused by shearing deformation. These two methods have the advantage of computational simplicity. The third method is that the structure is regarded as a cantilever beam with variable stiffness, too. Then each floor that is divided by traverse bracing is regarded as beam element with two nodes and four degrees of freedom in view of beam-action shear. The element rigidity matrix is derived by making use of spline function and solved equivalent stiffness. The method makes highly less degrees of freedom of structure than of general finite element method. Therefore, it is simple, effective and accurate. In structural dynamic characteristic analysis, centralized mass method and floor element method are proposed, and its computational process is simple. Finally,the present methods in the paper and ANSYS software are used to calculate the concrete example of high-rise steel tower structure and these results are compared and analyzed. It is shown that the present methods are simple and meet engineering precision. Hence, those methods that are put forward in the paper are economical and effective.更多还原