Two third-order explicit integration algorithms with controllable numerical dissipation for second-order nonlinear dynamics
No literature has reported an explicit integration algorithm to achieve controllable numerical
dissipation and identical third-order accuracy simultaneously. This paper develops two …
dissipation and identical third-order accuracy simultaneously. This paper develops two …
An unconditionally stable implicit time integration algorithm: Modified quartic B-spline method
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 …
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 …
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 …
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
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 …
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 …
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 …
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 …
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 …
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
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 …
on Bezier curves and Bernstein polynomials is proposed. The Bezier curve is used as …