Discussion of 'development of a family of unconditionally stable explicit direct integration algorithms with controllable numerical energy dissipation' by Chinmoy Kolay and James M. Ricles

Maxam Dean J.; Tamma Kumar K.

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Discussion of 'development of a family of unconditionally stable explicit direct integration algorithms with controllable numerical energy dissipation' by Chinmoy Kolay and James M. Ricles

机译：Chinmoy Kolay和James M. Ricles讨论了“开发具有可控数值能量耗散的无条件稳定显式直接积分算法系列”

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The time integration method proposed by Kolay and Ricles, which was claimed to be both explicit and unconditionally stable, is shown to be implicit in the sense of requiring the factorization of an effective stiffness matrix where an explicit method needs no solver. Its original derivation procedure employed discrete control theory concepts, which are in fact, equivalent to conventional recurrence relation concepts aiming to match its spectral properties with those of the three-parameter optimal/generalized-alpha method, thus giving rise to an implicit method within the class of linear multistep methods. It is shown that the resulting method possesses several added computational drawbacks due to its derivation procedure, such as additional effective stiffness inversions and a degraded order of accuracy in general.

机译：Kolay和Ricles提出的时间积分方法声称是显式和无条件稳定的，在需要对有效刚度矩阵进行因式分解的情况下，该方法是隐式的，其中显式方法不需要求解器。它的原始推导过程采用离散控制理论概念，实际上与常规递归关系概念等效，旨在将其光谱特性与三参数最优/广义α方法的光谱特性相匹配，从而在模型中产生了一种隐式方法。一类线性多步方法。结果表明，所得方法由于其推导过程而具有多个附加的计算缺陷，例如额外的有效刚度反演和通常精度降低的顺序。

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《Earthquake Engineering & Structural Dynamics》 |2019年第4期|476-481|共6页
作者
Maxam Dean J.; Tamma Kumar K.;
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Univ Minnesota Twin Cities, Dept Mech Engn, Minneapolis, MN 55455 USA;

Univ Minnesota Twin Cities, Dept Mech Engn, Minneapolis, MN 55455 USA|111 Church St SE, Minneapolis, MN 55455 USA;

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1. Retraction statement: discussion of paper 'development of a family of unconditionally stable explicit direct integration algorithms with controllable numerical energy dissipation' by chinmoy kolay and James M. Ricles, earthquake engineering and structural dynamics 2014; 43:1361-1380 (Retraction of vol 44, pg 1325, 2014) [J] . Kolay Chinmoy, Ricles James M. Earthquake Engineering & Structural Dynamics . 2015,第14期

机译：撤回声明：chinmoy kolay和James M. Ricles发表的论文“开发具有可控数值能量耗散的无条件稳定显式直接积分算法系列”，地震工程与结构动力学，2014年； 43：1361-1380（撤回第44卷，第1325页，2014年）
2. Discussion of paper "Development of a family of unconditionally stable explicit direct integration algorithms with controllable numerical energy dissipation' by Chinmoy Kolay and James M. Ricles, Earthquake Engineering and Structural Dynamics 2014; 43:1361-1380 [J] . Chang Shuenn-Yih Earthquake Engineering & Structural Dynamics . 2015,第8期

机译：Chinmoy Kolay和James M. Ricles撰写的论文“开发具有可控数值能量耗散的无条件稳定显式直接积分算法系列”，地震工程与结构动力学2014； 43：1361-1380
3. Discussion of paper'Development of a family of unconditionally stable explicit direct integration algorithms with controllable numerical energy dissipation'by Chinmoy Kolay and James M.Ricles,Earthquake Engineering and Structural Dynamics 2014;43:1361-1380 [J] . Shuenn-Yih Chang Earthquake Engineering & Structural Dynamics . 2015,第2期

机译：Chinmoy Kolay和James M.Ricles，地震工程与结构动力学2014； 43：1361-1380，讨论了论文“开发具有可控数值能量耗散的无条件稳定显式直接积分算法系列”。
4. UNCONDITIONALLY STABLE EXPLICIT INTEGRATION ALGORITHMS WITH CONTROLLABLE NUMERICAL DAMPING FOR REAL-TIME HYBRID SIMULATION [C] . CHENG CHEN, NELI B. AVRAMOVA International Structural Engineering and Construction Conference . 2013

机译：无条件稳定的显式集成算法，具有用于实时混合模拟的可控数值阻尼
5. Retraction statement: discussion of paper ‘development of a family of unconditionally stable explicit direct integration algorithms with controllable numerical energy dissipation’ by chinmoy kolay and James M. Ricles, earthquake engineering and structural [O] . 2015

机译：收缩陈述：Chinmoy Kolay和James M.填土，地震工程和结构的无条件稳定的明确直接集成算法的纸张“一系列无条件稳定的明确直接集成算法的发展”
6. Finite element solution for energy conservation using a highly stable explicit integration algorithm [R] . Baker, A. J., Manhardt, P. D. 1972

机译：采用高度稳定的显式积分算法进行节能的有限元解法

Discussion of 'development of a family of unconditionally stable explicit direct integration algorithms with controllable numerical energy dissipation' by Chinmoy Kolay and James M. Ricles

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