An explicit time integration scheme for the analysis of wave propagations

G Noh, KJ Bathe - Computers & structures, 2013‏ - Elsevier
A new explicit time integration scheme is presented for the solution of wave propagation
problems. The method is designed to have small solution errors in the frequency range that …

An improved sub-step time-marching procedure for linear and nonlinear dynamics with high-order accuracy and high-efficient energy conservation

W Wen, S Deng, N Wang, S Duan, D Fang - Applied Mathematical …, 2021‏ - Elsevier
In this paper, an improved sub-step time-marching procedure is proposed for structural
dynamics. The proposed procedure has two free parameters which can be adopted to …

An unconditionally stable implicit time integration algorithm: Modified quartic B-spline method

S Shojaee, S Rostami, A Abbasi - Computers & Structures, 2015‏ - Elsevier
Abstract In Ref.[1] an effective conditionally stable explicit time integration scheme using
quartic B-spline function was proposed for solving the problems in structural dynamics. The …
L Maheo, V Grolleau, G Rio - Computational Mechanics, 2013‏ - Springer
Abstract The use of Finite Element and Finite Difference methods of spatial and temporal
discretization for solving structural dynamics problems gives rise to purely numerical errors …

Time integration method based on discrete transfer function

M Rezaiee-Pajand, M Hashemian - International Journal of …, 2016‏ - World Scientific
Complex structural dynamic problems are normally analyzed by finite element and
numerical integration techniques. An explicit time integration algorithm with second-order …