Simply Supported Beam Explosion Response Based on Theory Models Title

Abstract:

According to the explosive dynamics and vibration theory, utilized theory model of Euler beam and improved Timoshenko beam to analysis dynamic response of simply beam. Blast load was simplified to triangle load. The explosion overpressure was determined by J. Henrych. The results show that dynamic response is divided into two phases, i.e. comprising forced vibration stage (elastic and plastic) with load and free vibration stages with noload. Furthermore, beam yield judgment used equation of the relation between deflection and stress. The numerical calculations of the finite element model relatively good fitted to the theoretical values of Timoshenko beam model compared to the Euler beam model. Considering shear inertial effect in Timoshenko beam theory lead to this phenomenon. For the requirement of engineering practice, constraint form of propping end effect on beam response, constraint form is simplified to model which contains spring and damping. Through coefficients variation of elastic propping, resistance moment and damping to research variation of critical displacement.

Key words:explosion dynamics; dynamic response; Euler beam model; Timoshenko beam model; finite element model(FEM)