Pulse–pressure loading effects on aviation and general engineering structures—review
Abstract This paper reviews various aspects of modeling an explosion on an aircraft, which can be extended to more general structures. A brief summary of material and structural models is given, followed by a detailed history of pulse–pressure loading models with an emphasis on free–free beams and how pulse characteristics affect a structure's response. Techniques to desensitize pulse shape effects are discussed, which culminate in the form of pressure–impulse isodamage curves. Studies using random loading models are also presented.
A REVIEW OF ELEMENTARY APPROXIMATION TECHNIQUES FOR PLASTIC DEFORMATION OF PULSE-LOADED STRUCTURES
ABSTRACT The techniques reviewed and compared include single degree of freedom models, the mode approximation technique, and upper and lower bounds on maximum displacement and response time. These are discussed in terms of rigid-perfectly plastic response to general load pulses (Fig. 1). The relations between the techniques and to results for elastic-plastic structures are discussed.
Elastic-plastic vibrations of a buckled beam
Abstract The paper discusses non-linear vibrations of a buckled beam under harmonic excitation. The material of the beam is elastic-plastic with linear strain-hardening. The equations of motion are integrated by Galerkin's method. The validity of the assumption, that the membrane force is constant along the beam, is discussed. It is shown that even in the case of elastic deformations, this hypothesis may cause great discrepancies in the deflection history diagrams to be compared with the real solution. In the elastic case, the Melnikov method has been used for estimating the threshold transverse load at which chaotic motion can take place. In the range of elastic-plastic vibrations, chaotic motion of the beam is discussed.