Detonation loading of tubes in the modified shear wave speed regime

Analytical solution of transverse shear strain vibration of gas detonation loaded tube near second critical speed (shear group velocity)

“…The results of this paper are verified through comparison with Chao's [6,7] finite element results. It is shown that hoop strain amplification factor (HAF) and transverse shear strain amplification factor (TSAF) have different values for same detonation velocity and FSDT's results are in good agreement with finite element results in prediction of dynamic amplification factors and critical speeds.…”

“…In this section, the results obtained by authors from the three analytical models are compared with finite element and experimental results reported in Chao's work [6,7]. Fig.…”

“…Fig. 2 shows a schematic of the experimental setup of detonation tube introduced by Chao [6,7]. Briefly, a detonation was produced in a detonation tube and then, was transferred into the 6061-T6 aluminium specimen thin-walled tube.…”

“…6. The results obtained by the authors of present paper based on the analytical Tang's model (steady state model) and first order shear deformation theories (model I and II) are compared with the finite element and experimental results [6,7] for hoop strain amplification factor in Fig. 6a and transverse shear strain amplification factor in Fig.…”

“…But, no study in the literature was found about a similar resonance near the other critical speed. Chao [6,7] numerically has shown that it is possible to excite the shear waves of the tube wall at the second critical speed. The goal of this paper is to show analytically the excitation of transverse shear strain vibration at the second critical speed and to obtain dynamic amplification factor for transverse shear strain.…”