Anthony E. Armenakas

TL;DR: In this article, a compilation of tables giving frequencies and mode shapes of vibrating cylindrical shells is presented for research and development engineers as well as for active scientists working in wave propagation and dynamics of thin shells.

TL;DR: In this article, a linear theory of the motion of elastic plates is established which, in addition to initial membrane forces, takes into account initial moments and transverse shear forces.

TL;DR: In this paper, a generalization of the Saint-Venant theory is presented, and a more inclusive theory of plates under initial stress, analogous to R.D.MINDLIN plate theory, by retaining in equations of motion effects of transverse shear deformation and rotatory inertia.

TL;DR: In this article, the bending theory of shells under the influence of initial stress was applied to study the effect of initial uniform circumferential stress, uniform bending moment and uniform radial shear on the dynamic response of an infinitely long (motion is independent of the axial coordinate) elastic circular cylindrical shell.

TL;DR: In this article, the influence of initial uniform circumferential and axial stress on the frequency of vibrations of simply supported circular cylindrical shells has been investigated on the basis of shell theories.