Stability Analysis of an Inflatable Vacuum Chamber

Abstract

A light-weight "inflatable" tensioned-membrane-structure vacuum container is proposed and its stability is analyzed. The proposed structure consists of a pressurized lobed cylindrical "wall" surrounding a central evacuated space. Stability is analyzed by discretizing the system and diagonalizing the second derivative of the potential energy. The structure is found to be stable when the pressure in the wall is greater than a critical pressure. When membranes are non-elastic, the critical pressure is found to be greater than the pressure required for equilibrium by a factor of 4/3. When membranes have only finite stiffness, a first order correction to the critical pressure is found. Preliminary experimental data shows that a stable structure can be made in this way, and that the observed critical pressure is consistent with theory. It is also found that such structures can be designed to have net positive buoyancy in air.Comment: 12 pages, 6 figures; v.2 equation (16) and minor typos corrected; v.3 additional discussions added from reviewer suggestions; v.4 updated in response to new reviewer suggestions, 18 pages, 7 figures; v.5 corrected typo at line 32