Analytical study on the inflated shape of a super pressure balloon covered with a diamond-shaped net

In the last two decades, extensive efforts have been made to develop a large super pressure balloon (SPB) capable of carrying heavy payloads for scientific observations of long durations. Due to recent achievements by the NASA Balloon Program Office, practical operations of large-scale lobed-pumpkin SPB will be realized in the near future. Meanwhile, the research team initiated the development of a lightweight SPB with an alternative design concept, in which the entire balloon is covered by a diamond-shaped net. In this work, the static structural response of the proposed SPB is analyzed by establishing a mathematical model to predict its inflated shape. This model is validated by comparing the generated results with those obtained from nonlinear finite element analysis. Excellent agreement between the analytical solutions and the corresponding finite element results was obtained. On the basis of the mathematical model, the inflated shape of the SPB is investigated and unique structural characteristics are deduced, i.e., the balloon inflates into a cylinder-like shape for a certain geometry of the cover net. This structural feature can be explained by considering the equilibrium of forces applied to the cover net.