求翻译：通过对布条的悬臂实验研究，建立了布条悬臂变形过程的数学方程和物理模型；设计了柔度实验台，通过对布条下拱和上拱的弯曲实验研究，建立了布条上拱和下拱的数学方程和物理模型，得到了上下拱的条件。是什么意思？

Cantilever experiments on strips of cloth, cloth cantilever deformation process mathematical equations and physical models; design flexibility bench, cloth arch through the cloth under the arch on arch bending experimental research, and under the arch of mathematical equations and physical models, t