Results 271 to 280 of about 127,128 (302)

Effects of geometric nonlinearities on explicit time integrators

Communications in Applied Numerical Methods, 1988
AbstractThe effect of follower forces and initial stresses on the stability of the central difference method is studied. As a model, bar and beam elements are considered by means of the element eigenvalue inequality. It is shown that both follower‐force pressure loads and tensile initial stresses decrease the stable timestep but the decrease becomes ...
Neal, Mark O., Belytschko, Ted
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An explicit time integration technique for dynamic analyses

International Journal for Numerical Methods in Engineering, 1995
AbstractA simple explicit solution technique for problems in structural dynamics, based on a Modified Trapezoidal rule Method (MTM) approximation of the governing ordinary differential equations, is developed. The resulting conditionally stable explicit method (MTM) can be easily implemented and is extremely simple to use.
Pezeshk, S., Camp, C. V.
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Comparisons of Structure-Dependent Explicit Methods for Time Integration

International Journal of Structural Stability and Dynamics, 2015
Chang 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, 2005
Robust 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, 2016
An 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, Karimi-Rad, Mahdi   +1 more
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Explicit solutions to dynamic diffusion-type equations and their time integrals

Applied Mathematics and Computation, 2014
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Antonín Slavík, Petr Stehlík
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Explicit variable step-size and time-reversible integration

Applied Numerical Mathematics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Holder, Thomas, Leimkuhler, Ben, Reich, Sebastian   +2 more
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Explicit time integration with enhanced stability for structural dynamics

Computers & Structures, 1988
A 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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Explicit Bounds for Some Special Integral Inequalities on Time Scales

Results in Mathematics, 2010
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An explicit time integration scheme of numerical manifold method

Engineering Analysis with Boundary Elements, 2014
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Qu, X. L., Fu, G. Y., Ma, G. W.
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