Analysis of airplane response to nonstationary turbulence including wing bending flexibility. II.

Abstract

(4) Thus strain in the direction of the additional impulsive stress is the sum of three elastic strains. Hence, corresponding impulsive loaded stresses will travel in the rod at an elastic stress wave velocity. Expressions for computing sx strains can easily be derived from Hooke's Law and the plasticity equations. Then an effective elastic modulus can be estimated. For illustration, a numerical problem is solved which has an especially simple solution. The numerical computation for a rod initially stressed to a zero tangent modulus can be based on physical considerations as follows: If the tangent modulus is zero or nearly zero, additional impulsive stress cannot result in additional plastic loading. If ax is the applied impulsive stress traveling down the rod, this condition requires that ay = oz = ax at a cross section. The resulting total strain in the x direction is computed from Eq. (4) and Hooke's Law. It is given by