On the Beam under Random Loading

Abstract

Aiming at the design of a structure under random loading, e.g. a tail of airplane in flight through a three-dimensional turbulence, the mean square values of deflections and stresses are evaluated by a stochastic method on the basis of simplified representations of the structure with finite span and its spanwise lift distribution. In this analysis the typical power-spectrum of stationary isotropic three-dimensional turbulence is used, and it is assumed that the scale of turbulence is much smaller than the length of span, and that the intensity of turbulence is so small that a stall does not occur. It is well-known that the variance of stress is used in estimating the strength and fatigue life.