问题描述:
对于壳单元的输出内力矩 M11 和 M22,当采用右手螺旋法则确定其作用方向时,为什么拇指指向并非沿壳单元的局部 1 轴和局部 2 轴呢?难道内力矩 M11 不是绕局部 1 轴的弯矩吗?内力矩 M22 不是绕局部 2 轴的弯矩吗?
解答:
首先,壳单元的内力由膜内力和板内力共 8 个分量组成,分别为:
1. 膜内力包括:正内力(F11、F22)、面内剪力(F12);
2. 板内力包括:弯矩(M11、M22)、扭矩(M12)、横向剪力(V13、V23)
其次,壳单元的每个内力值皆由相应的应力分量合成,即对应力分量沿壳单元的厚度进行积分运算,具体如下:
![](data:image/png;base64,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)
其中,x3 为壳单元厚度方向的坐标值,坐标原点为壳单元的中面,如以下左图中虚线所示。
th 为壳单元的膜厚度; thb 为壳单元的板厚度。
![](data:image/png;base64,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)
关于各个应力分量的正方向的确定,可参考材料力学或弹性力学等教材(如以上右图所示),也可以参考《CSI分析参考手册》的相关章节,此处不再赘述。应力分量下标的含义如下:
![](data:image/png;base64,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)
综上,M11 的下标的含义为:应力分量 σ11 沿壳单元厚度方向的合成力矩;同理,M22 为 σ22 沿壳单元厚度方向的合成力矩。沿壳单元厚度线性变化的正应力 σ11 合成 M11,如以下左图所示:
![](data:image/png;base64,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)
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)
因此,M11 并非绕局部 1 轴的力矩,而是绕局部 2 轴的力矩!如果采用右手法则确定其方向,由于正的内力矩 M11 应使壳单元的底部(即负 3 轴方向)受拉,故拇指指向沿局部 2 轴的负向。但是,对正的内力矩 M22 应用右手法则,拇指指向则沿局部 1 轴的正向。如以上右图所示。