Scaling law for the elastic response of spherical explosion-containment vessels

White, James; Trott, B. D.

doi:10.1007/bf02327122

Cited by 13 publications

(6 citation statements)

References 5 publications

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“…They then state that, by a suitable superposition of the axisymmetric modes of vibration about different axes, but of identical natural frequency, a nonaxisymmetric vibration mode of the same frequency results, in agreement with observations made by Silbiger [6] and Niordson [8]. 1 A closed shell cannot undergo pure bending. A mode is either purely extensional (membrane) or combined bending-extensional, but can (on an energy basis) be "mostly" bending.…”

Section: Literature Surveysupporting

confidence: 73%

“…He also found that the frequency spectrum consists of two infinite sets of modes. He labeled one branch as flexural and the other as membrane, the distinction made on the basis of the comparison of strain energies due to bending and stretching of each mode 1 . However, he observed a fundamental difference in the lower branch behavior, as compared to Baker [4], due to the inclusion of bending.…”

Section: Literature Surveymentioning

confidence: 99%

“…Vessels designed for multiple use, in which the dynamic response of the vessel is restricted to the elastic range (e.g., see [1]); and 2. Vessels designed for one-time use only, in which the vessel may undergo substantial permanent plastic deformations (e.g., see [2]).…”

Section: Introductionmentioning

confidence: 99%

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Vibration Modes of Spherical Shells and Containment Vessels

Duffey¹,

Romero

2002

Design and Analysis of Piping, Vessels, and Components

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Spherical pressure vessels are used to fully contain the effects of high explosions. In this paper, the vibrations of a spherical containment vessel undergoing elastic response are investigated. Vibration modes of containment vessels are of particular interest, as it is the superposition and interaction of different modes of response with closely spaced frequencies that has been reported to be the mechanism of 'strain growth'. First, the modal frequencies of a spherical shell for both axisymmetric and nonaxisymmetric response modes are discussed, based on a sequence of papers that have appeared in the open literature. Analytical predictions are then compared with numerical simulations using ABAQUS. It is found that the numerical simulations accurately predict both the axisymmetric and nonaxisymmetric modal frequencies for the complete spherical shell. Next, numerical simulations of modal frequencies for the more complex spherical containment vessel (with nozzles) are compared with the spherical shell results.Numerical simulations for the spherical containment vessel reveal that frequencies are somewhat similar to the complete spherical shell. Limited comparisons with experimentally recorded frequencies for participating modes of vessel dynamic response during high explosive containment testing are presented as well.

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Section: Literature Surveysupporting

confidence: 73%

Section: Literature Surveymentioning

confidence: 99%

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Vibration Modes of Spherical Shells and Containment Vessels

Duffey¹,

Romero

2002

Design and Analysis of Piping, Vessels, and Components

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“…NESSUS computes probabilistic based sensitivities for both MPP and sampling based methods; details are given by Thacker [8] . The sensitivity computed as a by-product of MPPbased methods is ∂β α i = ∂u i (4) measures the change in the safety index with respect to the standard normal variate u. Although useful for providing an importance ranking, this sensitivity is difficult to use in design because u is a function of the variable's mean, standard deviation, and distribution.…”

Section: Probabilistic Sensitivity Analysismentioning

confidence: 99%

“…San Antonio, TX 78238 the vessel is designed for one-time use only, efficiently utilizing the significant plastic energy absorption capability of ductile vessel materials [3] . Alternatively, the vessel can be designed for multiple use, in which case the material response is restricted to the elastic range [4] .…”

Section: Introductionmentioning

confidence: 99%

Uncertainty Quantification of a Containment Vessel Dynamic Response Subjected to High-Explosive Detonation Impulse Loading

Rodriguez

Pepin

Thacker

et al. 2002

43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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Los Alamos National Laboratory (LANL), in cooperation with Southwest Research Institute, has been developing capabilities to provide reliabilitybased structural evaluation techniques for performing weapon component and system reliability assessments. The development and applications of Probabilistic Structural Analysis Methods (PSAM) is an important ingredient in the overall weapon reliability assessments.Focus, herein, is placed on the uncertainty quantification associated with the structural response of a containment vessel for high-explosive (HE) experiments. The probabilistic dynamic response of the vessel is evaluated through the coupling of the probabilistic code NESSUS [1] with the non-linear structural dynamics code, DYNA-3D [2] . The probabilistic model includes variations in geometry and mechanical properties, such as Young's Modulus, yield strength, and material flow characteristics. Finally, the probability of exceeding a specified strain limit, which is related to vessel failure, is determined.

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