Differential Quadrature, Generalized Methods, Related Discrete Element Analysis Methods and EDQ Based Time Integration Method for Composite Structural Problems

2009 ◽  
Author(s):  
C.N. Chen
Keyword(s):  
Integration Method ◽  
Time Integration ◽  
Discrete Element ◽  
Differential Quadrature ◽  
Element Analysis ◽  
Time Integration Method ◽  
Structural Problems ◽  
Analysis Methods

Development of Differential Quadrature Related Generalized Methods, Discrete Element Analysis Methods and EDQ Based Time Integration Methods

2005 ◽  
Author(s):  
Chang-New Chen
Keyword(s):  
Time Integration ◽  
Numerical Algorithms ◽  
Discrete Element ◽  
Numerical Results ◽  
Differential Quadrature ◽  
Element Analysis ◽  
Integration Methods ◽  
Analysis Methods ◽  
Time Integration Methods

Development of differential quadrature related generalized methods, discrete element analysis methods and EDQ based time integration methods has been carried out the last few years. The related numerical algorithms are summarized and presented. Numerical results are also presented.

scholarly journals Performance of a Three-Substep Time Integration Method on Structural Nonlinear Seismic Analysis

2021 ◽  
Vol 2021 ◽  
pp. 1-20
Author(s):  
Jinyue Zhang ◽  
Lei Shi ◽  
Tianhao Liu ◽  
De Zhou ◽  
Weibin Wen
Keyword(s):  
Nonlinear Dynamic ◽  
Integration Method ◽  
Seismic Analysis ◽  
Time Integration ◽  
Implicit Time ◽  
Numerical Dissipation ◽  
Dynamic Problems ◽  
Element Analysis ◽  
Time Integration Method ◽  
Period Elongation

In this work, a study of a three substeps’ implicit time integration method called the Wen method for nonlinear finite element analysis is conducted. The calculation procedure of the Wen method for nonlinear analysis is proposed. The basic algorithmic property analysis shows that the Wen method has good performance on numerical dissipation, amplitude decay, and period elongation. Three nonlinear dynamic problems are analyzed by the Wen method and other competitive methods. The result comparison indicates that the Wen method is feasible and efficient in the calculation of nonlinear dynamic problems. Theoretical analysis and numerical simulation illustrate that the Wen method has desirable solution accuracy and can be a good candidate for nonlinear dynamic problems.

scholarly journals An Improved Time Integration Method Based on Galerkin Weak Form with Controllable Numerical Dissipation

2021 ◽  
Vol 11 (4) ◽  
pp. 1932
Author(s):  
Weixuan Wang ◽  
Qinyan Xing ◽  
Qinghao Yang
Keyword(s):  
High Frequency ◽  
Integration Method ◽  
Time Integration ◽  
Low Frequency ◽  
Weak Form ◽  
High Accuracy ◽  
Numerical Dissipation ◽  
Frequency Range ◽  
Time Integration Method ◽  
Numerical Damping

Based on the newly proposed generalized Galerkin weak form (GGW) method, a two-step time integration method with controllable numerical dissipation is presented. In the first sub-step, the GGW method is used, and in the second sub-step, a new parameter is introduced by using the idea of a trapezoidal integral. According to the numerical analysis, it can be concluded that this method is unconditionally stable and its numerical damping is controllable with the change in introduced parameters. Compared with the GGW method, this two-step scheme avoids the fast numerical dissipation in a low-frequency range. To highlight the performance of the proposed method, some numerical problems are presented and illustrated which show that this method possesses superior accuracy, stability and efficiency compared with conventional trapezoidal rule, the Wilson method, and the Bathe method. High accuracy in a low-frequency range and controllable numerical dissipation in a high-frequency range are both the merits of the method.

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