问题描述:
在静力荷载工况中施加X方向的加速度荷载,为什么 X 方向的节点位移为负值呢?另外,如果对结构指定 X 方向的重力荷载,能否得到与加速度荷载相同的结果呢?二者有何异同?
解答:
在各种结构分析程序中,加速度荷载均以惯性力的方式进行加载,即:
从上式可以看出,加速度荷载的方向并非加速度的方向,而是惯性力的方向(即加速度的反方向)!因此,对于 X 正方向的加速度荷载,程序内部却是对结构施加X负方向的惯性力,出现 X 方向的节点位移为负值也就不足为奇了。有关静力荷载工况中的加速度荷载的更多内容,请参阅本知识库的另一篇文档《静力工况中的加速度荷载》。
另外,重力荷载用于对结构自重荷载进行缩放及变向,更多内容可参阅本知识库的另一篇文档《重力荷载 vs 自重荷载》。如果以重力荷载的形式对结构整体施加 X 正方向的加速度荷载(即 X 负方向的惯性力),并假设加速度为 5m/s2。此时,用户应依次选择所有的框架对象、面对象、实体对象等等,并分别指定如下所示的重力荷载。
上图中的计算公式“-5/9.81”用于:先得到结构质量(1/9.81),再施加加速度荷载(-5/9.81)。需要强调的一点是,加速度荷载与质量源的定义密切相关,而重力荷载则只与材料的重力密度或截面的自重有关。因此,以上重力荷载与加速度荷载等效的一个重要前提是:结构质量只来源于单元本身或只来源于仅包含自重的荷载模式。唯有如此,才能保证两种加载方式使用相同的结构质量。
最后,为了让读者对加速度荷载、重力荷载以及自重荷载的数值和正负号有所区分,我们对下图所示的简支梁分别以三种方式加载并对比相应的变形图。根据前文介绍的内容很容易理解下图所示的分析结果,此处不再赘述。
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)