扭动的 chirality 广泛地在不同长度规模在人工、自然的材料和结构被观察。在这份报纸,我们理论上调查由使用 Timoshenko 横梁模型在有弹性的横梁的机械性质上扭曲 chiral 形态学的效果。特别注意对一根预先扭曲的矩形的横梁的横向的弯曲并且轴的弄弯被给予。分析答案首先在一致地或周期性地分布式的横向的力量下面为一根夹钳免费的横梁的偏转被导出。受到它的自我重量和轴的压缩力量的横梁的批评弄弯条件进一步被解决。结果证明扭动的形态学罐头显著地改进横梁的抵抗到横向的弯曲并且轴的弄弯。这研究帮助理解与在自然扭曲 chirality 联系的一些现象并且为新奇设备和结构的设计提供灵感。
Twisting chirality is widely observed in artificial and natural materials and structures at different length scales. In this paper, we theoretically investigate the effect of twisting chiral morphology on the mechanical properties of elas- tic beams by using the Timoshenko beam model. Particular attention is paid to the transverse bending and axial buckling of a pre-twisted rectangular beam. The analytical solution is first derived for the deflection of a clamped-free beam under a uniformly or periodically distributed transverse force. The critical buckling condition of the beam subjected to its self- weight and an axial compressive force is further solved. The results show that the twisting morphology can significantly improve the resistance of beams to both transverse bending and axial buckling. This study helps understand some phenomena associated with twisting chirality in nature and provides inspirations for the design of novel devices and structures.