Abstract: A “method of images” series solution is obtained which converges rapidly for a simply supported, long beam with a high-velocity, moving concentrated load. Each term of the series is a Fourier ...

Abstract: In the last few years we have studied the possible relation of instability of a shell surface to the patterns that develop in plants. In the present work, it is found that there is a ...

Abstract: The problem of a semi-infinite Timoshenko beam of an elastic foundation with a step load moving from the supported end at a constant velocity is discussed. Asymptotic solutions are obtained ...

Abstract: After an investigation of membrane theory, solutions to the general equations for a thin shell of revolution of arbitrary meridian are obtained for rapidly varying sinusoidal edge loading. The ...

Abstract: Bending solutions that are uniformly valid in both shallow and nonshallow regions of a dome with arbitrary meridian are determined for edge loads that vary sinusoidally in the circumferential ...

Abstract: The previously obtained solution for the thin elastic shell with edge loads whose wave-length is smaller than the shell radii of curvature is shown to provide a transition from “thin-shell” ...

Abstract: The problem considered is the thin elastic shell described by the equations of Novozhilov with an arbitrary but smooth midsurface that has a surface load and/or temperature distribution which ...

Abstract: A closed-form solution is obtained for the problem of a shell of revolution with a meridional slope discontinuity, which might occur at a weld seam in a pressure vessel. The effect of ...