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

Biglari, Hasan; Jafari, Ali

doi:10.1016/j.ijpvp.2009.10.005

Cited by 1 publication

(4 citation statements)

References 9 publications

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“…Their proposed approach has included all the main terms in the governing equation. Analytical solution of transverse shear strain oscillation of a detonation tube was presented by Biglari and Jafari [13]. Mazaheri et al [14] reported the analytical and numerical models of the transient dynamic response of tubes under DL.…”

Section: Electronic Supplementary Materialsmentioning

confidence: 99%

“…(1) Critical speeds are among the main parameters in the design of tubes under internal moving/detonation/shock loads [7,13,15]. These values can be further used along with the dynamic load speed to understand under which condition the tube may resonate.…”

Section: Gaseous Detonationmentioning

confidence: 99%

“…where E is elastic modulus, t is tube thickness, ρ is density, R avg is the mean tube radius, and ν is the Poisson ratio. The second to fourth critical velocities can be obtained using the following relations [7,13,15]: in which, G is shear modulus and κ is shear factor. As can be seen from Eqs.…”

Section: Gaseous Detonationmentioning

confidence: 99%

“…Abaqus ® calls these subroutines at all integration points of the elements that have material properties defined using the field variables [21]. Loading properties are set similar to those presented in [7,13,52] and are shown in Table 1. There are five load types for this investigation depending on the detonation speeds: 1400.1, 1478.8, 1699.7, 2500, and 7040 m/s.…”

Section: Finite Element Modelmentioning

confidence: 99%

See 3 more Smart Citations

On the vibrational responses of thin FGM tubes subjected to internal sequential moving pressure

Malekan

Khosravi

Zanin

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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Dynamic load in tubes due to detonation has plenty of applications such as the oil pipeline system and pulse detonation engine. Various experimental, analytical, and numerical investigations have been made to study the elastic-dynamic behaviors of tubes under internal moving pressure, with few studies dedicated to elastic-plastic analysis of this kind of problem. The investigation of elastic-plastic response of a tube made of homogeneous and nonhomogeneous (functionally graded material-FGM) materials subjected to the internal moving pressure (gaseous detonation) is the specific objective of this study. FGM is a newly well-established type of composite materials that its material contents are varying gradually along a user-defined direction. In this work, the effect of non-homogeneity on the vibrational response of the tube was studied using an axisymmetric FE model, which developed by Abaqus ® commercial package accompanied by VUMAT, VDLOAD, and VUSDFLD user-written subroutines. Different detonation load velocities were considered based on the tube material properties, i.e., according to the critical velocities. The presented results showed that the variation of stress/strain fields against time was affected by the gradation of FGM material. In addition, FGM material can help to withstand against the detonation loads, specifically when there are multiple sequential detonations or a high-pressure detonation load.

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Section: Electronic Supplementary Materialsmentioning

confidence: 99%

Section: Gaseous Detonationmentioning

confidence: 99%