An accurate two‐stage explicit time integration scheme for structural dynamics and various dynamic problems
In this article, a two‐stage explicit time integration method is presented for the numerical
analysis of various dynamic problems described by second‐order ordinary differential …
analysis of various dynamic problems described by second‐order ordinary differential …
A new family of higher-order time integration algorithms for the analysis of structural dynamics
For the development of a new family of implicit higher-order time integration algorithms,
mixed formulations that include three time-dependent variables (ie, the displacement …
mixed formulations that include three time-dependent variables (ie, the displacement …
An improved time integration algorithm: A collocation time finite element approach
A time collocation finite element approach is employed to develop one-and two-step time
integration schemes with algorithmic dissipation control capability. The newly developed …
integration schemes with algorithmic dissipation control capability. The newly developed …
An efficient weighted residual time integration family
A new family of time integration methods is formulated. The recommended technique is
useful and robust for the loads with large variations and the systems with nonlinear dam** …
useful and robust for the loads with large variations and the systems with nonlinear dam** …
A comparative study of implicit and explicit composite time integration schemes
In this paper, a number of recently proposed implicit and explicit composite time integration
schemes are reviewed and critically evaluated. To give suitable guidelines of using them in …
schemes are reviewed and critically evaluated. To give suitable guidelines of using them in …
[HTML][HTML] Higher-order explicit time integration methods for numerical analyses of structural dynamics
In this article, third-and fourth-order accurate explicit time integration methods are developed
for effective analyses of various linear and nonlinear dynamic problems stated by second …
for effective analyses of various linear and nonlinear dynamic problems stated by second …
Effective higher-order time integration algorithms for the analysis of linear structural dynamics
For the development of a new family of higher-order time integration algorithms for structural
dynamics problems, the displacement vector is approximated over a typical time interval …
dynamics problems, the displacement vector is approximated over a typical time interval …
A new explicit time integration scheme for nonlinear dynamic analysis
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 …
analyses of structures. Using two parameters and employing the Taylor series expansion, a …
A comparative study of two families of higher-order accurate time integration algorithms
Two families of higher-order accurate time integration algorithms are numerically tested by
using various nonlinear problems of structural dynamics, and the numerical results obtained …
using various nonlinear problems of structural dynamics, and the numerical results obtained …
[HTML][HTML] A critical assessment of two-stage composite time integration schemes with a unified set of time approximations
A simple unified set of displacement and velocity approximations is presented to express
various two-stage composite time integration schemes. Based on the unified …
various two-stage composite time integration schemes. Based on the unified …