An isoperimetric inequality in the optimization of circular rings under normal pressure |
| |
| Authors: | V. V. Kobelev |
| |
| Affiliation: | (1) Institute for Problems in Mechanics, USSR Academy of Sciences, Moscow, USSR |
| |
| Abstract: | The problem of determining the optimal cross section of a circular ring so as to maximize the buckling pressure under a given total volume is formulated and solved. An isoperimetric inequality is proved: Among all the circular rings of given mass and radius, the ring with constant bending rigidity along the arc length has the largest critical buckling pressure. |
| |
| Keywords: | Isoperimetric inequalities stability circular rings structural optimization |
| 本文献已被 SpringerLink 等数据库收录！ |
