Nonlinear Dynamic Analysis of Shell Structures Using General Single Step Algorithms

Owen, D. R. J.; Liu, G. Q.; Li, X.-L.

doi:10.1007/978-3-642-82704-4_28

Cited by 3 publications

(1 citation statement)

References 8 publications

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“…The majority of the mixed time and/or variable integration methods conceptually employ the Newmark scheme' as a starting point, although, this is not necessary. 6 The finite element semidiscretization process is first introduced and then the time discretization employing mixed time and/or variable integration procedures involving predictor-corrector formulation^^,^ is utilized which involve accelerations, velocities and displacements. These procedures can be generally categorized into variable explicit architectures and mixed time-integration procedures.…”

Section: Introductionmentioning

confidence: 99%

A new explicit variable time‐integration self‐starting methodology for computational structural dynamics

Tamma

D’Costa

1992

Numerical Meth Engineering

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SUMMARYA new explicit variable time-integration methodology and architecture which possesses self-starting attributes, eliminates the need to involve acceleration computations, and which has improved accuracy characteristics in comparison to the traditional central-difference-type formulations customarily advocated is described for applicability to computational structural dynamics. To sharpen the focus of the present study, an explicit variable time-integration architecture which is relatively simple, yet effective, is described. Unlike variable explicit time-integration formulations adopted in the past, the present self-starting variable time-integration architecture and implementation aspects facilitate a simplified representation and a straightforward and effective approach for combining finite element meshes requiring different time steps in a single analysis. Numerical test cases are provided which demonstrate the applicability of the proposed formulations.

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Section: Introductionmentioning

confidence: 99%

A new explicit variable time‐integration self‐starting methodology for computational structural dynamics

Tamma

D’Costa

1992

Numerical Meth Engineering

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An improved implicit‐explicit time integration method for structural dynamics

Miranda

Ferencz

Hughes

1989

Earthq Engng Struct Dyn

112

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SUMMARYAn explicit predictor-corrector algorithm is derived from the implicit a-method. This explicit algorithm is shown to have better stability and accuracy properties than its Newmark-based predecessor. This algorithm is then combined with the implicit a-method, resulting in an implicit-explicit a-method which can be effectively utilized for linear and non-linear structural dynamics calculations.

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Partitioned Self-Starting Explicit Strategies for Computational Structural Dynamics: Data Parallel Implementation

Namburu¹,

Tamma²,

Beck³

et al. 1993

34th Structures, Structural Dynamics and Materials Conference

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Nonlinear Dynamic Analysis of Shell Structures Using General Single Step Algorithms

Cited by 3 publications

References 8 publications

A new explicit variable time‐integration self‐starting methodology for computational structural dynamics

A new explicit variable time‐integration self‐starting methodology for computational structural dynamics

An improved implicit‐explicit time integration method for structural dynamics

Partitioned Self-Starting Explicit Strategies for Computational Structural Dynamics: Data Parallel Implementation

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