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      An effective locally-defined time marching procedure for structural dynamics

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      https://www.riss.kr/link?id=A106515050

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      다국어 초록 (Multilingual Abstract)

      The present work describes a new time marching procedure for structural dynamics analyses. In this novel technique, time integration parameters are automatically evaluated according to the properties of the model. Such parameters are locally defined, ...

      The present work describes a new time marching procedure for structural dynamics analyses. In this novel technique, time integration parameters are automatically evaluated according to the properties of the model. Such parameters are locally defined, allowing the user to input a numerical dissipation property for each element, which defines the amount of numerical dissipation to be introduced. Since the integration parameters are locally defined as a function of the structural element itself, the time marching technique adapts according to the model, providing enhanced accuracy. The new methodology is based on displacement-velocity relations and no computation of accelerations is required. Furthermore, the method is second order accurate, it has guaranteed stability, it is truly self-starting and it allows highly controllable algorithm dissipation in the higher modes. Numerical results are presented and compared to those provided by the Newmark and the Bathe methods, illustrating the good performance of the new time marching procedure.

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      참고문헌 (Reference)

      1 Tamma, K. K., "The time dimension : a theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications" 7 (7): 67-290, 2000

      2 S. Shojaee, "The numerical solution of dynamic response of SDOF systems using cubic B-spline polynomial functions" 국제구조공학회 38 (38): 211-229, 2011

      3 Hughes, T. J. R., "The Finite Element Method: Linear Static and Dynamic Finite Element Analysis" Prentice-Hall 1987

      4 Noh, G., "The Bathe time integration method with controllable spectral radius : The ρ∞-Bathe method" 212 : 299-310, 2019

      5 Bathe, K. J., "On a composite implicit time integration procedure for nonlinear dynamics" 83 (83): 2513-2524, 2005

      6 Fung, T. C., "Numerical dissipation in time-step integration algorithms for structural dynamic analysis" 5 (5): 167-180, 2003

      7 Soares Jr, D., "Nonlinear structural dynamic analysis by a stabilized central difference method" 173 : 383-392, 2018

      8 Bathe, K. J., "Insight into an implicit time integration scheme for structural dynamics" 98 : 1-6, 2012

      9 Hilber, H. M., "Improved numerical dissipation for time integration algorithms in structural dynamics" 5 (5): 283-292, 1977

      10 Noh, G., "Further insights into an implicit time integration scheme for structural dynamics" 202 : 15-24, 2018

      1 Tamma, K. K., "The time dimension : a theory towards the evolution, classification, characterization and design of computational algorithms for transient/dynamic applications" 7 (7): 67-290, 2000

      2 S. Shojaee, "The numerical solution of dynamic response of SDOF systems using cubic B-spline polynomial functions" 국제구조공학회 38 (38): 211-229, 2011

      3 Hughes, T. J. R., "The Finite Element Method: Linear Static and Dynamic Finite Element Analysis" Prentice-Hall 1987

      4 Noh, G., "The Bathe time integration method with controllable spectral radius : The ρ∞-Bathe method" 212 : 299-310, 2019

      5 Bathe, K. J., "On a composite implicit time integration procedure for nonlinear dynamics" 83 (83): 2513-2524, 2005

      6 Fung, T. C., "Numerical dissipation in time-step integration algorithms for structural dynamic analysis" 5 (5): 167-180, 2003

      7 Soares Jr, D., "Nonlinear structural dynamic analysis by a stabilized central difference method" 173 : 383-392, 2018

      8 Bathe, K. J., "Insight into an implicit time integration scheme for structural dynamics" 98 : 1-6, 2012

      9 Hilber, H. M., "Improved numerical dissipation for time integration algorithms in structural dynamics" 5 (5): 283-292, 1977

      10 Noh, G., "Further insights into an implicit time integration scheme for structural dynamics" 202 : 15-24, 2018

      11 Bathe, K. J., "Finite Element Procedures" Prentice Hall 1996

      12 Saeed Mohammadzadeh, "Extended implicit integration process by utilizing nonlinear dynamics in finite element" 국제구조공학회 64 (64): 495-504, 2017

      13 Hulbert, G. M., "Explicit time integration algorithms for structural dynamics with optimal numerical dissipation" 137 (137): 175-188, 1996

      14 Clough, R.W., "Dynamics of Structures" Computers and Structures Inc 1995

      15 Shojaee, S., "An unconditionally stable implicit time integration algorithm : modified quartic B-spline method" 153 : 98-111, 2015

      16 Park, K. C., "An improved stiffly stable method for direct integration of nonlinear structural dynamic equations" 42 (42): 464-470, 1975

      17 Noh, G., "An explicit time integration scheme for the analysis of wave propagations" 129 : 178-193, 2013

      18 Wen, W. B., "An explicit time integration method for structural dynamics using septuple B-spline functions" 97 (97): 629-657, 1980

      19 Wood, W. L., "An alpha modification of Newmark's method" 15 (15): 1562-1566, 1980

      20 Soares Jr, D., "An adaptive semi-explicit/explicit time marching technique for nonlinear dynamics" 354 (354): 637-662, 2019

      21 Subbaraj, K., "A survey of direct time-integration methods in computational structural dynamics-II. Implicit methods" 32 (32): 1387-1401, 1989

      22 Dokainish, M. A., "A survey of direct time-integration methods in computational structural dynamics-I. Explicit methods" 32 (32): 1371-1386, 1989

      23 Soares, D., "A simple and effective single-step time marching technique based on adaptive time integrators" 109 (109): 1344-1368, 2017

      24 Soares, D., "A simple and effective new family of time marching procedures for dynamics" 283 : 1138-1166, 2015

      25 Tamma, K. K., "A robust self-starting explicit computational methodology for structural dynamic applications : architecture and representations" 29 (29): 1441-1454, 1990

      26 Houbolt, J. C., "A recurrence matrix solution for the dynamic response of elastic aircraft" 17 (17): 540-550, 1950

      27 Soares, D., "A novel family of explicit time marching techniques for structural dynamics and wave propagation models" 311 (311): 838-855, 2016

      28 Soares, D., "A new family of time marching procedures based on Green’s function matrices" 89 (89): 266-276, 2011

      29 Chung, J., "A new family of explicit time integration methods for linear and non-linear structural dynamics" 37 (37): 3961-3976, 1994

      30 Yin, S. H., "A new explicit time integration method for structural dynamics" 13 (13): 2013

      31 Soares Jr, D., "A model/solution-adaptive explicit-implicit time-marching technique for wave propagation analysis" 119 (119): 590-617, 2019

      32 Newmark, N. M., "A method of computation for structural dynamics" 85 (85): 67-94, 1959

      33 Soares Jr, D., "A locally stabilized explicit approach for nonlinear heat conduction analysis" 214 : 40-47, 2019

      34 Soares Jr, D., "A locally stabilized central difference method" 155 : 1-10, 2019

      35 Rezaiee-Pajand, M., "A family of second-order fully explicit time integration schemes" 37 (37): 3431-3454, 2018

      36 Chang, S-I., "A family of noniterative integration methods with desired numerical dissipation" 100 : 62-86, 2014

      37 Shuenn-Yih Chang, "A family of dissipative structure-dependent integration methods" 국제구조공학회 55 (55): 815-837, 2015

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      2021-12-01 평가 등재후보 탈락 (해외등재 학술지 평가)
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      2005-06-16 학회명변경 영문명 : Ternational Association Of Structural Engineering And Mechanics -> International Association of Structural Engineering And Mechanics KCI등재
      2005-05-26 학술지명변경 한글명 : 국제구조계산역학지 -> Structural Engineering and Mechanics, An Int'l Journal KCI등재
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