The Elastic-Plastic Response of Thin Spherical Shells to Internal Blast Loading

Baker, W. E.

doi:10.1115/1.3643888

Cited by 68 publications

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“…For a thin spherical shell ( 1 / << a h ) subjected to an internal pressure pulse ) (t p , the governing equation of the SDoF model of the spherical shell is (Baker 1960) …”

Section: The Primary-shock Periodmentioning

confidence: 99%

“…Transient triangular pressure pulse has been widely accepted in the structural analysis against blast loading (Baker 1960), which will be adopted to study the effect of the primary shock on the dynamic elastic response of containment vessels. The transient triangular pressure pulse ) (t p is described by…”

Section: The Primary-shock Periodmentioning

confidence: 99%

“…4 symmetric detonation, is applied uniformly to the inner surface of the spherical shell (Baker 1960).…”

Section: A C C E P T E D Article In Pressmentioning

confidence: 99%

“…an exponential or a triangular pressure pulse), which has the same impulse and peak overpressure of the primary shock (e.g. Baker 1960). These simplified blast loading characterizations completely neglect the effect of the reflected shock waves on the vibration of the vessel, which may become important under certain circumstances (Zhdan 1981).…”

Section: Introductionmentioning

confidence: 99%

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Interactive mechanisms between the internal blast loading and the dynamic elastic response of spherical containment vessels

Dong

Zheng

2010

International Journal of Impact Engineering

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Interactive mechanisms between the internal blast loading and the dynamic elastic response of spherical containment vessels. International Journal of Impact Engineering, Elsevier, 2010, 37 (4) This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. M A N U S C R I P T A C C E P T E D ARTICLE IN PRESS Abstract:The interactive mechanisms between internal blast loading and dynamic elastic response of spherical containment vessels are studied in this paper. The blast loading history in containment vessels can be divided into three periods, i.e. the primary-shock period, the shock-reflection period and the pressure-oscillation period. It is shown that the initial response of the containment vessel depends on both the impulse and the shape of the primary-shock depending on the ratio of the loading period to the breathing mode period. However, during the shock-reflection period, the response of the containment vessel can be coupled with the reflected shock waves in the vessel, especially when the dominant frequency of reflected shock waves is close to the breathing mode frequency of the vessel. During the pressure-oscillation period, the dynamic loading is mainly the oscillation of the internal pressure due to the oscillatory volume change of the vessel, which couples dissipatedly with the vibration of the vessel leading to reduced vibration amplitudes. The effects of the influential non-dimensional parameters on the resonant interaction in shock-reflection period are discussed, based on which guidelines are recommended for avoiding the strain growth in the shock-reflection period in the design of spherical containment vessels.

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“…For a thin spherical shell ( 1 / << a h ) subjected to an internal pressure pulse ) (t p , the governing equation of the SDoF model of the spherical shell is (Baker 1960) …”

Section: The Primary-shock Periodmentioning

confidence: 99%

Section: The Primary-shock Periodmentioning

confidence: 99%

“…4 symmetric detonation, is applied uniformly to the inner surface of the spherical shell (Baker 1960).…”

Section: A C C E P T E D Article In Pressmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Interactive mechanisms between the internal blast loading and the dynamic elastic response of spherical containment vessels

Dong

Zheng

2010

International Journal of Impact Engineering

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“…With the consideration of structural pertubations and the erratic response [i.e. due to the non-uniform blast loading (Baker 1960)] in M A N U S C R I P T…”

Section: Introductionmentioning

confidence: 99%

Further study on strain growth in spherical containment vessels subjected to internal blast loading

Dong

Zheng

2010

International Journal of Impact Engineering

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Strain growth is a phenomenon observed in the elastic response of containment vessels subjected to internal blast loading, which is featured by the increased vibration amplitude of the vessel in a later stage. Previous studies attributed the strain growth in spherical containment vessels to the beating between two close vibration modes, the interactions between the vessel vibration and the reflected shock waves and the structural perturbation. In this paper, it is shown that nonlinear modal coupling is another important cause of strain growth in spherical containment vessels. Based on the understanding of the vibration modes in a complete spherical shell, the nonlinear modal coupling in the nonaxisymmetric response of complete spherical shells are studied using finite element method. Methods for preventing the strain growth due to nonlinear modal coupling are discussed, which provide guidelines for the engineering design of spherical containment vessels.

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Dynamic Plasticity

Chakrabarty

2000

Mechanical Engineering Series

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The Elastic-Plastic Response of Thin Spherical Shells to Internal Blast Loading

Cited by 68 publications

References 0 publications

Interactive mechanisms between the internal blast loading and the dynamic elastic response of spherical containment vessels

Interactive mechanisms between the internal blast loading and the dynamic elastic response of spherical containment vessels

Further study on strain growth in spherical containment vessels subjected to internal blast loading

Dynamic Plasticity

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