问题描述:
由于边界条件的多样性和不确定性,我们需要考虑不同的支座约束对结构响应的影响。虽然可以在不同的计算模型中分别指定相应的支座约束并完成分析,但却不便于将各个模型的分析结果进行对比或组合(如:包络组合、线性叠加组合等等)。因此,如何在 SAP2000 中对同一个计算模型考虑多种不同的支座约束呢?
解答:
通常来讲,支座约束作为计算模型的边界条件,在完成指定后将无法更改。不过,我们可以借助阶段施工分析来间接地实现“变支座约束”。根据计算模型的复杂程度以及支座约束的具体形式,我们采用的方法也会有所改变。本文主要介绍最简单的单根杆件的变支座约束,至于其他更复杂的实现方法,我们将在后续的文章中向大家一一介绍。
以下图所示的简化平面刚架为例,两个计算模型的加载(水平梁的均布线荷载)及 #4 节点(右下角)的支座约束完全相同,仅 #1 节点(左上角)的支座约束有所不同。具体如下:
① 左图中 #1 节点为固定约束,即:约束全部三个平动自由度和三个转动自由度。
② 右图中 #1 节点为固定铰支约束,即:仅约束三个平动自由度。
如果仅仅是在两个计算模型(即两个 SDB 文件)中分别考虑各自的支座约束形式,估计绝大多数用户都可以轻松搞定。不过,现在我们需要在同一个计算模型中改变 #1 节点的支座约束形式,这样才便于在后续的后处理中对比或组合两个分析结果。对于上述这种简单的“单根杆件端点的变支座约束”,我们可以使用阶段施工分析中的【Change Releases】来实现。具体操作如下:
首先,按照常规的建模方法创建计算模型 1,如以上左图所示。注意:此时对 1# 节点指定固定约束即可。然后,定义关于框架端部释放的命名属性集(如 Hinge),命令路径为:【定义 > 命名属性集 > 框架释放】。关于该操作,需要注意以下两点:
-
根据框架对象局部 1 轴的方向,确定端部释放的位置(起点或终点)。
-
根据框架对象局部 2 轴和 3 轴的方向以及端部释放(即支座约束)的具体形式,勾选正确的内力分量(轴力、扭矩、两个剪力、两个弯矩)。
对于本文的平面刚架 1# 节点的固定铰支约束,Hinge 的定义如下:
最后,在默认的线性静力工况 Fixed(程序自动生成)的基础上,定义新的阶段施工工况 Hinge。该工况只需添加一个施工阶段和相应的三个阶段操作。具体如下:
-
添加结构(Add
Structure):通过对象组 ALL 添加整个计算模型。
-
改变释放(Change Releases):通过对象类型和对象标签指定命名属性集 Hinge。
-
对象加载(Load Objects):通过对象组 ALL 施加水平梁的均布线荷载。
完成上述操作后即可运行分析,对比不同工况下的结构弯矩图(如下所示),可以看到:
-
固定约束的 1# 节点处存在非零的负弯矩值
-
固定铰支约束 1# 节点处的弯矩值为零
以上结果对比证明了前述方法的有效性。
![](data:image/png;base64,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)