Results 181 to 190 of about 2,258,481 (223)

Two novel explicit time integration methods based on displacement-velocity relations for structural dynamics

Computers and Structures, 2019
Two novel explicit time integration methods are proposed based on displacement-velocity relations in this paper for structural dynamics. They avoid the factorization of damping and stiffness matrices, and are truly self-starting due to the exclusion of ...
Yufeng Xing
exaly   +2 more sources

Interprocessor communication for high performance, explicit time integration

Engineering with Computers, 2010
Parallel, explicit finite element analysis is based almost exclusively on point-to-point interprocessor communication. However, point-to-point communication on multicore architectures results in large performance variability because of shared caches and sockets.
George Petropoulos, Gregory L. Fenves
openaire   +1 more source

Stability of explicit‐implicit mesh partitions in time integration

International Journal for Numerical Methods in Engineering, 1978
AbstractThe stability of time integration for a semidiscretization of structures and continua where the mesh is partitioned into subdomains integrated simultaneously by explicit and implicit methods is considered. Stability in energy is proven for linear systems subject to the Courant condition in the explicit subdomain for a central difference ...
Belytschko, Ted, Mullen, Robert
openaire   +1 more source

Numerical recipes for elastodynamic virtual element methods with explicit time integration

International Journal for Numerical Methods in Engineering, 2019
We present a general framework to solve elastodynamic problems by means of the virtual element method (VEM) with explicit time integration. In particular, the VEM is extended to analyze nearly incompressible solids using the B‐bar method.
Kyoungsoo Park, Heng Chi, G. Paulino
semanticscholar   +1 more source

A simple explicit single step time integration algorithm for structural dynamics

International Journal for Numerical Methods in Engineering, 2019
In this article, a new single‐step explicit time integration method is developed based on the Newmark approximations for the analysis of various dynamic problems.
Wooram Kim
exaly   +2 more sources

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
openaire   +2 more sources

A NEW EXPLICIT TIME INTEGRATION METHOD FOR STRUCTURAL DYNAMICS

International Journal of Structural Stability and Dynamics, 2013
A family of new explicit time-integration method is proposed herein, which inherits the numerical characteristics of any existing implicit Runge–Kutta algorithms for a linear conservative system. Based on an exact derivation of the increment of mechanical energy, the method proposed is demonstrated to be unconditionally stable.
openaire   +2 more sources

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.
openaire   +2 more sources

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.
openaire   +1 more source

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
openaire   +1 more source