问题描述:
ETABS中如何模拟地基?
解答:
ETABS中可通过定义土层剖面模拟地基。
点击【定义>弹簧属性>土层剖面】,可在弹窗中添加土层剖面,对土体参数进行设置,包括土层参数、考虑大应变效应的剪切模量折减系数、滞回阻尼比等,土层参数含义如图:
![](data:image/png;base64,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)
程序将根据用户输入的参数进行换算,将“多层地基”等代为“单层地基”,得到的等代土体基础参数如下:
①平均质量密度
和平均泊松比![](data:image/png;base64,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)
根据用户输入的各层土层参数,计算等代土体的平均质量密度
和平均泊松比
:
![](data:image/png;base64,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)
式中n为土层数量,
为第i层土层的容重,g为重力加速度,
为第i层土层的泊松比。
②平均有效波速
根据用户输入的独立柱基础的尺寸和各土层的剪切波波速,采用以下公式分别计算等代土体三个平动、三个转动方向的平均有效波速
:
![](data:image/png;base64,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)
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)
式中n1表示第一层土层;n2表示第二层土层;
分别由独立柱基础的尺寸计算得到,为土层在六个自由度方向的深度区间;
为第i层的土层的厚度;Vi为用户输入的第i层土层材料的剪切波波速。
③有效剪切模量G
由①得到的平均质量密度
和②得到的平均有效波速
计算得到等代土体六个自由度方向的有效剪切模量G:
综上,程序根据用户输入的土层剖面参数,将具有多个土层参数的土体转换成了一个等代的土体,并得到其等效质量密度
、泊松比
、剪切模量G。