Membranes are rather widely used to set up suspended roof coverings of large-span buildings and structures. These coverings possess increased deformability. The vibrations of membranes with high amplitudes are accompanied by changes in their dimensions and stresses. Consideration of the variable nature of forces leads to the appearance of nonlinear terms of geometric origin in the membrane vibration equations. Suspended roof coverings can be subjected to significant vibrations during the action on them of a wind load. Investigations showed that the effect of the wind can be examined as a steady-state random process, for the description of which one should resort to statistical methods. Author
Edited machine trans. of Issledovaniya po Teorii Sooruzhenii. Sbornik Statei (USSR) n17 p163-171 1970, by Rene E. Courville.