Time integration method with high accuracy and efficiency for structural dynamic analysis

P Yuan, D Li, CS Cai, G Xu - Journal of Engineering Mechanics, 2019 - ascelibrary.org
In this study, a novel composite time integration method is proposed for more accurately and
efficiently solving typical structural dynamic problems. In this method, the second-order …

Optimization of a Class of -Sub-Step Time Integration Methods for Structural Dynamics

Y Ji, Y Xing - International Journal of Applied Mechanics, 2021 - World Scientific
This paper develops a family of optimized n-sub-step time integration methods for structural
dynamics, in which the generalized trapezoidal rule is used in the first (n− 1) sub-steps, and …

A three-parameter single-step time integration method for structural dynamic analysis

H Zhang, Y Xing - Acta Mechanica Sinica, 2019 - Springer
The existing three-parameter single-step time integration methods, such as the Generalized-
α α method, improve numerical dissipation by modifying equilibrium equation at time points …

A novel single-step explicit time integration method based on momentum corrector technique for structural dynamic analysis

T Liu, P Wang, W Wen - Applied Mathematical Modelling, 2023 - Elsevier
In this study, a novel single-step explicit time integration method based on momentum
corrector technique is proposed. The algorithmic procedure is formulated using cubic B …

A two-step time integration method with desirable stability for nonlinear structural dynamics

Y Ji, Y Xing - European Journal of Mechanics-A/Solids, 2022 - Elsevier
Time integration methods are frequently used in the analysis of general dynamic systems.
Numerical experiments have shown that for nonlinear dynamic systems, some time …

An improved sub-step composite time integration formulation with enhanced performance on linear and nonlinear dynamics

WB Wen, SY Deng, TH Liu, SY Duan… - International Journal of …, 2021 - World Scientific
An improved time integration scheme is proposed for linear and nonlinear dynamics. The
proposed scheme has two free parameters which control numerical dissipation and …

Semiexplicit unconditionally stable time integration for dynamic analysis based on composite scheme

AH Namadchi, F Fattahi, J Alamatian - Journal of Engineering …, 2017 - ascelibrary.org
In this paper, a new structure-dependent unconditionally stable time-integration method is
presented for structural dynamic analysis. The proposed method not only benefits from a …

Highly precise time integration method for linear structural dynamic analysis

Y Xing, H Zhang, Z Wang - International Journal for Numerical …, 2018 - Wiley Online Library
To achieve high accuracy, conventional time integration methods require small time steps,
especially when applied to large‐scale finite element systems. The use of small time steps …

An efficient weighted residual time integration family

M Rezaiee-Pajand, SAH Esfehani… - International Journal of …, 2021 - World Scientific
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 damping …

Modified precise time step integration method of structural dynamic analysis

M Wang, X Zhou - Earthquake Engineering and Engineering Vibration, 2005 - Springer
The precise time step integration method proposed for linear time-invariant homogeneous
dynamic systems can provide precise numerical results that approach an exact solution at …