From the trapezoidal rule to higher-order accurate and unconditionally stable time-integration method for structural dynamics

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/s0045-7825(97)00061-3 ◽

1997 ◽

Vol 149 (1-4) ◽

pp. 73-88 ◽

Author(s):

Seung Jo Kim ◽

Jin Yeon Cho ◽

Wie Dae Kim

Keyword(s):

Structural Dynamics ◽

Integration Method ◽

Time Integration ◽

Higher Order ◽

Trapezoidal Rule ◽

Unconditionally Stable ◽

Time Integration Method

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An improved higher-order explicit time integration method with momentum corrector for linear and nonlinear dynamics

Applied Mathematical Modelling ◽

10.1016/j.apm.2021.05.013 ◽

2021 ◽

Author(s):

Tianhao Liu ◽

Fanglin Huang ◽

Weibin Wen ◽

Shanyao Deng ◽

Shengyu Duan ◽

...

Keyword(s):

Nonlinear Dynamics ◽

Integration Method ◽

Time Integration ◽

Higher Order ◽

Explicit Time Integration ◽

Time Integration Method ◽

Linear And Nonlinear

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A parabolic acceleration time integration method for structural dynamics using quartic B-spline functions

Applied Mathematical Modelling ◽

10.1016/j.apm.2011.11.047 ◽

2012 ◽

Vol 36 (11) ◽

pp. 5162-5182 ◽

Author(s):

Sobhan Rostami ◽

Saeed Shojaee ◽

Ali Moeinadini

Keyword(s):

Structural Dynamics ◽

Integration Method ◽

Time Integration ◽

Spline Functions ◽

B Spline ◽

Acceleration Time ◽

Time Integration Method

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Multicomplex Newmark-Beta Time Integration Method for Sensitivity Analysis in Structural Dynamics

AIAA Journal ◽

10.2514/1.j053282 ◽

2015 ◽

Vol 53 (5) ◽

pp. 1188-1198 ◽

Author(s):

J. Garza ◽

H. Millwater

Keyword(s):

Sensitivity Analysis ◽

Structural Dynamics ◽

Integration Method ◽

Time Integration ◽

Time Integration Method

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Development of Non-Dissipative Direct Time Integration Method for Structural Dynamics Application

Computer Modeling in Engineering & Sciences ◽

10.31614/cmes.2019.03879 ◽

2019 ◽

Vol 118 (1) ◽

pp. 41-89

Author(s):

Sun-Beom Kwon ◽

Jae-Myung Lee

Keyword(s):

Structural Dynamics ◽

Integration Method ◽

Time Integration ◽

Time Integration Method

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A high‐order accurate explicit time integration method based on cubic b‐spline interpolation and weighted residual technique for structural dynamics

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6543 ◽

2020 ◽

Vol 122 (2) ◽

pp. 431-454

Author(s):

Weibin Wen ◽

Shanyao Deng ◽

Shengyu Duan ◽

Daining Fang

Keyword(s):

Structural Dynamics ◽

Integration Method ◽

Spline Interpolation ◽

Time Integration ◽

Explicit Time Integration ◽

B Spline ◽

Time Integration Method

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

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.4599 ◽

2013 ◽

Vol 97 (9) ◽

pp. 629-657 ◽

Author(s):

Wei-Bin Wen ◽

Kai-Lin Jian ◽

Shao-Ming Luo

Keyword(s):

Structural Dynamics ◽

Integration Method ◽

Time Integration ◽

Spline Functions ◽

Explicit Time Integration ◽

B Spline ◽

Time Integration Method

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A novel time integration method for structural dynamics utilizing uniform quintic B-spline functions

Archive of Applied Mechanics ◽

10.1007/s00419-015-1016-5 ◽

2015 ◽

Vol 85 (12) ◽

pp. 1743-1759 ◽

Author(s):

W. Bin Wen ◽

S. Ming Luo ◽

K. Lin Jian

Keyword(s):

Structural Dynamics ◽

Integration Method ◽

Time Integration ◽

Spline Functions ◽

B Spline ◽

Time Integration Method

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An unconditionally stable time integration method with controllable dissipation for second-order nonlinear dynamics

Nonlinear Dynamics ◽

10.1007/s11071-021-06720-9 ◽

2021 ◽

Author(s):

Yi Ji ◽

Yufeng Xing ◽

Marian Wiercigroch

Keyword(s):

Nonlinear Dynamics ◽

Integration Method ◽

Time Integration ◽

Second Order ◽

Unconditionally Stable ◽

Time Integration Method

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A numerical implementation of higher-order time integration method for the transient heat conduction equation with a moving boundary based on boundary immobilization technique

10.1063/5.0045874 ◽

2021 ◽

Author(s):

Rabeeb Ali Valiyakam Parambu ◽

Ashish Awasthi ◽

Vikash Vimal ◽

Naveen Jha

Keyword(s):

Heat Conduction ◽

Heat Conduction Equation ◽

Moving Boundary ◽

Integration Method ◽

Time Integration ◽

Transient Heat Conduction ◽

Higher Order ◽

Conduction Equation ◽

Numerical Implementation ◽

Time Integration Method

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A new direct time integration method for the equations of motion in structural dynamics

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.201200245 ◽

2013 ◽

Vol 94 (9) ◽

pp. 757-774 ◽

Author(s):

J.T. Katsikadelis

Keyword(s):

Structural Dynamics ◽

Integration Method ◽

Equations Of Motion ◽

Time Integration ◽

Time Integration Method

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