Efficient and reliable solutions of static and dynamic nonlinear structural mechanics problems by an integrated numerical approach using DQFEM and direct time integration with accelerated equilibrium iteration schemes

Integrated numerical technique for static and dynamic nonlinear structural problems adopting the equilibrium iteration is proposed. The differential quadrature finite element method (DQFEM) which uses the differential quadrature (DQ) techniques to the finite element discretization is used to analyze...

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Published in:Applied mathematical modelling Vol. 24; no. 8; pp. 637 - 655
Main Author: Chen, C.-N
Format: Journal Article
Language:English
Published: Elsevier Inc 01.07.2000
Subjects:
Accelerated constant stiffness iteration
DQFEM
Explicit predictor–corrector iteration
Global secant relaxation
Parallel implementation
Global secant relaxation
Parallel implementation
DQFEM
Accelerated constant stiffness iteration
Explicit predictor–corrector iteration
ISSN:0307-904X
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Abstract Integrated numerical technique for static and dynamic nonlinear structural problems adopting the equilibrium iteration is proposed. The differential quadrature finite element method (DQFEM) which uses the differential quadrature (DQ) techniques to the finite element discretization is used to analyze the static and dynamic nonlinear structural mechanics problems. Numerical time integration in conjunction with the use of equilibrium iteration is used to update the response history. The equilibrium iteration can be carried out by the accelerated iteration schemes. The global secant relaxation-based accelerated constant stiffness and diagonal stiffness-based predictor–corrector equilibrium iterations which are efficient and reliable are used for the numerical computations. Sample problems are analyzed. Numerical results demonstrate the algorithm.
AbstractList Integrated numerical techniques for static and dynamic nonlinear structural problems adopting the equilibrium iteration is proposed. The differential quadrature finite element method (DQFEM), which uses the differential quadrature (DQ) techniques for the finite element discretization, is used to analyze the static and dynamic nonlinear structural mechanics problems. Numerical time integration in conjunction with the use of equilibrium iteration is used to update the response history. The equilibrium iteration can be carried out by the accelerated iteration schemes. The global secant relaxation-based accelerated constant stiffness and diagonal stiffness-based predictor-corrector equilibrium iterations, which are efficient and reliable, are used for the numerical computations. Sample problems are analyzed. Numerical results demonstrate the algorithm.
Integrated numerical technique for static and dynamic nonlinear structural problems adopting the equilibrium iteration is proposed. The differential quadrature finite element method (DQFEM) which uses the differential quadrature (DQ) techniques to the finite element discretization is used to analyze the static and dynamic nonlinear structural mechanics problems. Numerical time integration in conjunction with the use of equilibrium iteration is used to update the response history. The equilibrium iteration can be carried out by the accelerated iteration schemes. The global secant relaxation-based accelerated constant stiffness and diagonal stiffness-based predictor–corrector equilibrium iterations which are efficient and reliable are used for the numerical computations. Sample problems are analyzed. Numerical results demonstrate the algorithm.
Author Chen, C.-N
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  email: cchen@mail.ncku.edu.tw
  organization: Department of Naval Architecture and Marine Engineering, National Cheng Kung University, Tainan, Taiwan, ROC
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Cites_doi 10.1115/1.2900803
10.1016/0045-7949(94)00328-Z
10.1002/nme.1620151011
10.1061/JMCEA3.0000098
10.1016/0022-247X(71)90110-7
10.1002/nme.1620350304
10.1002/eqe.4290050306
10.1016/0045-7949(84)90059-2
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Issue 8
Keywords Global secant relaxation
Parallel implementation
DQFEM
Accelerated constant stiffness iteration
Explicit predictor–corrector iteration
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Snippet Integrated numerical technique for static and dynamic nonlinear structural problems adopting the equilibrium iteration is proposed. The differential quadrature...
Integrated numerical techniques for static and dynamic nonlinear structural problems adopting the equilibrium iteration is proposed. The differential...
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SubjectTerms Accelerated constant stiffness iteration
DQFEM
Explicit predictor–corrector iteration
Global secant relaxation
Parallel implementation
Title Efficient and reliable solutions of static and dynamic nonlinear structural mechanics problems by an integrated numerical approach using DQFEM and direct time integration with accelerated equilibrium iteration schemes
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