Dynamic Instability of an Elastic Cylindrical Shell Excited by a Transient Acoustic Wave.

Geers, Thomas L.; Yen, C. L.

doi:10.21236/ada083338

Cited by 1 publication

(3 citation statements)

References 8 publications

(15 reference statements)

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“…DAA-based displacement-response histories are compared with their exact counterparts in Figure 6, the latter having been generated in the manner of Geers and Yen (1981). Here too, agreement is seen to be excellent.…”

Section: Spherical Shellmentioning

confidence: 92%

“…This boundary is based on the first-order doubly asymptotic approxi.ma-V tion (DAAI) for elastodynamic scattering [Geers and Yen (1981), Underwood and Geers (1981) '. In addition, a staggered solution procedure is utilized to partition the global equations in order to achieve both computational efficiency and software modularity [Felippa and Park (1980),.…”

Section: List Of Illustrationsmentioning

confidence: 99%

“…A first-order DAA is used here to relate the scatiered-force vector ( ad the scattereddisplacement vector us Geers and Yen (1981) and Underwood aitd Geers (19,sI) This V.…”

Section: Doubly Asymptotic Approximationmentioning

confidence: 99%

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A Doubly Asymptotic, Nonreflecting Boundary for Ground-Shock Analysis

Mathews¹,

Geers²

1987

Journal of Applied Mechanics

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This paper desribes the formulation and implementation of a nonreflecting boundary for use with existing finite-element codes to perform nonlinear ground-shock analyses of buried structures. The boundary is based on a first-order doubly asymptotic approximation (DAA1) for disturbances propagating outward from a selected portion of the soil medium surrounding the structure of interest. The resulting set of first-order ordinary differential equations is then combined with the second-order equations of motion for the finite-element model so as to facilitate solution by a staggered solution procedure. This procedure is shown to be computationally stable as long as the time increment is smaller than a limiting value based on the finite-element mass matrix and the DAA-boundary stiffness matrix. Computational results produced by the boundary are compared with exact results for linear canonical problems pertaining to infinite-cylindrical and spherical shells.

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Section: Spherical Shellmentioning

confidence: 92%