问题描述:
如何在ETABS中模拟土体-上部结构的相互作用?
解答:
ETABS中可以通过定义基于土层剖面和独立柱基础的点弹簧,来模拟基础对上部结构的作用。
点击【定义>弹簧属性>点弹簧】,添加点弹簧属性,弹簧刚度选择来源于土层剖面和基础尺寸,并选择相应的土层剖面与独立柱基础,输入结构的第一阶模态周期,即可完成定义。
![](data:image/png;base64,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)
首先,程序由用户输入的第一周期,得到土体的无量纲频率参数:
![](data:image/png;base64,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)
![](data:image/png;base64,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)
然后,根据无量纲频率参数和独立柱基础尺寸,得到土体的阻尼修正系数,计算公式如下:
![](data:image/png;base64,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)
最后,根据等代土体的剪切模量和独立柱基础尺寸,分别得到静力和动力作用下土体对上部结构的约束,即六个自由度方向的刚度、阻尼及阻尼系数。计算公式如下:
①静力状态下的弹簧刚度
②动力状态下的弹簧刚度
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)
③阻尼
式中的辐射阻尼比
。
④阻尼系数
![](data:image/png;base64,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)
综上,得到了模拟独立基础与上部结构相互作用的点弹簧刚度、阻尼及阻尼系数。