LXXXVI. The large deflexions of a thin circular ring
LXXXVI. The large deflexions of a thin circular ring
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LXXXVI。
DOI：
10.1080/14786443808562190
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发表时间：
1938
期刊：
影响因子：
--
通讯作者：
R. A. F. gB.Sc.
中科院分区：
文献类型：
--
作者：
R. A. F. gB.Sc.
在研究圆环偏转的近似工程理论时，发现有必要计算一些精确解以作比较。由于没有研究完整的圆形elastica似乎已公布的结果在这里。假定环是薄的、均匀的，刚度为B。在无应力状态下，它是一个半径为a的完整圆。假定变形是不可扩展的，也就是说，周长不受载荷的影响，变形仅由弯曲引起。在这些条件下，计算了某些对称载荷作用下的挠度。
D URING an investigation of the approximate engineer-ing theory of the deflexion of rings it was found necessary to calculate some exact solutions for comparison. Since no studies of the complete circular elastica seem to have been published the results are given here. The ring is assumed to be thin and uniform, and of stiffness B. In the unstressed state it is a complete circle of radius a. It is supposed that deformation is inextensional--that is, the length of the perimeter is not altered by the loads, deformation being due to flexure alone. Under these conditions the deflexions have been calculated for certain symmetrical applications of load.