Both of these formulas basically relate work on a curve with what happens to the curl on the surface that is enclosed by this curve, that is bounded by this curve.
2
我想让你们看到,格林公式是怎么在这个平面中运用的,但是也牵涉到功和旋度等等,这也是比较特别的地方。
Stokes' versus Green. I want to show you how Green's theorem for work that we saw in the plane, but also involved work and curl and so on, is actually a special case of this.
3
从虚功原理出发,证明了薄板小挠度弯曲问题的功的互等定理,并由此推出了求解矩形薄板自然频率的公式。
Using the virtual work principle, this paper proved the reciprocal theorem of work of thin plates with small deflections, and obtained the formula of the natural frequency of square plates.