Two third-order explicit integration algorithms with controllable numerical dissipation for second-order nonlinear dynamics

J Li, K Yu, R Zhao - Computer Methods in Applied Mechanics and …, 2022 - Elsevier
No literature has reported an explicit integration algorithm to achieve controllable numerical
dissipation and identical third-order accuracy simultaneously. This paper develops two …

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 …

Explicit dynamic analysis using Dynamic Relaxation method

AH Namadchi, J Alamatian - Computers & Structures, 2016 - Elsevier
This paper deals with a new explicit framework for numerical dynamic analysis that could be
applied to any explicit-implicit time integration, ie predictor-corrector time integrations. For …

An explicit time integration method for structural dynamics using septuple B‐spline functions

WB Wen, KL Jian, SM Luo - International Journal for Numerical …, 2014 - Wiley Online Library
In this paper, an explicit time integration method with three parameters is proposed for
structural dynamics using periodic septuple B‐spline interpolation polynomial functions. In …

Insight to the newmark implicit time integration method for solving the wave propagation problems

S Rostami, R Kamgar - Iranian Journal of Science and Technology …, 2022 - Springer
Newmark implicit time integration method is one of the oldest and most powerful methods
used for dynamic analysis of structures and wave propagation problems. Recently …

A quartic B-spline based explicit time integration scheme for structural dynamics with controllable numerical dissipation

WB Wen, SY Duan, J Yan, YB Ma, K Wei… - Computational …, 2017 - Springer
An explicit time integration scheme based on quartic B-splines is presented for solving linear
structural dynamics problems. The scheme is of a one-parameter family of schemes where …

An improved quartic B-spline based explicit time integration algorithm for structural dynamics

W Wen, S Deng, T Liu, S Duan, F Huang - European Journal of Mechanics …, 2022 - Elsevier
In this study, an improved explicit time integration method based on quartic B-spline
interpolation is generalized for linear and nonlinear dynamics. The accuracy order of the …

Dynamic analysis of combined system of framed tube and shear walls by Galerkin method using B‐spline functions

R Rahgozar, Z Mahmoudzadeh… - … Structural Design of …, 2015 - Wiley Online Library
In this article, dynamic parameters (natural frequencies and mode shapes) of tall buildings
that consist of framed tube and shear walls are obtained using a simple approximate …

A dual-explicit model-based integration algorithm with higher-order accuracy for structural dynamics

B Fu, FT Zhang - Applied Mathematical Modelling, 2022 - Elsevier
Several model-based or structure-dependent integration algorithms with explicit
displacement formulation and unconditional stability are recently developed. According to …

Development of a direct time integration method based on Bezier curve and 5th-order Bernstein basis function

MM Malakiyeh, S Shojaee, SH Javaran - Computers & Structures, 2018 - Elsevier
In this study, a robust unconditionally stable method for linear analysis of structures based
on Bezier curves and Bernstein polynomials is proposed. The Bezier curve is used as …