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Comparisons of Structure-Dependent Explicit Methods for Time Integration
International Journal of Structural Stability and Dynamics, 2015Chang explicit method (CEM)1,2and CR explicit method3(CRM) are two structure-dependent explicit methods that have been successfully developed for structural dynamics. The most important property of both integration methods is that they involve no nonlinear iterations in addition to unconditional stability and second-order accuracy.
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Implicit-Explicit Time Integration in Multibody Dynamics
Volume 6: 5th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2005Robust and efficient time integration methods in multibody dynamics are tailored to the specific structure of the equations of motion. In the present paper we discuss the combination of explicit methods for non-stiff solution components with implicit methods for stiff solution components and constraints.
Martin Arnold, Gerhard Hippmann
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A New Explicit Time Integration Scheme for Nonlinear Dynamic Analysis
International Journal of Structural Stability and Dynamics, 2016An explicit time integration method is presented for the linear and nonlinear dynamic analyses of structures. Using two parameters and employing the Taylor series expansion, a family of second-order accurate methods for the solution of dynamic problems is derived.
Rezaiee-Pajand, Mohammad +1 more
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Explicit solutions to dynamic diffusion-type equations and their time integrals
Applied Mathematics and Computation, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Antonín Slavík, Petr Stehlík
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Explicit time integration with enhanced stability for structural dynamics
Computers & Structures, 1988A new nonlinear explicit method is proposed for structural dynamics. The method retains the computational efficiency of traditional explicit techniques, but possesses better stability properties. Both unpartitioned and partitioned forms of the algorithm are considered.
Belytschko, Ted, Engelmann, Bruce E.
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An explicit time integration scheme of numerical manifold method
Engineering Analysis with Boundary Elements, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qu, X. L., Fu, G. Y., Ma, G. W.
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Improving explicit time integration by modal truncation techniques
Earthquake Engineering & Structural Dynamics, 1998This paper describes a modal weighting technique that improves the stability characteristics of explicit time-integration schemes used in structural dynamics. The central difference method was chosen as the trial algorithm because of its simplicity, both in terms of formulation and ease of numerical stability and convergence analysis.
Eugenio Gutiérrez +1 more
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A new heterogeneous asynchronous explicit–implicit time integrator for nonsmooth dynamics
Computational Mechanics, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fekak, Fatima-Ezzahra +3 more
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Partitioned and Adaptive Algorithms for Explicit Time Integration
1981Two computational algorithms for the explicit time integration of the equations of motion with different time steps within a mesh are presented. The first is a mesh partition, which has been generalized so that an arbitrary number of time steps can be used. The second method chooses the time step for each node and element, and this time step depends on
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An explicit, unconditionally stable, time integration algorithm with a controlled accuracy
Computers & Structures, 1987An explicit unconditionally stable direct time integration algorithm is presented for the solution of transient dynamics structural problems. The method involves an explicit algorithm, coupled with energy conserving method to ensure the stability of the algorithm, and is presented in an iterative scheme to improve the accuracy of the solution.
Itzkowitz, Ilana, Levit, Itzhak
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