A critical look and review of the so-called generalized single-step time integration method by Zhang (, 418(2024), 116503) is proved and demonstrated to be not new, but identical to and within the existing GS4-II computational framework. The following are addressed: (1) Firstly, it is claimed that 16 parameters were introduced (somewhat misleading as evident in what follows) to obtain a more generalized single-step mathematical formulation. We show that 4 conditions are made redundant with minimum consistency requirements, and thus, the framework is not new and is identical to the original version of the GS4-II computational framework with 12 parameters. (2) Then, the overshooting behavior is revisited, and the analysis, missteps, and information are clarified and corrected in this paper, which is significant. (3) Next, the time shift phenomenon is also revisited to show the recovery of the order of time accuracy in the acceleration, which is misunderstood in much of the existing literature. (4) Lastly, each design in the so-called newly proposed schemes already exists and is found in the GS4-II computational framework. In particular, via GS4-II we additionally prove and demonstrate that the so-called “Optimal Equivalent Single-step with Single parameter (OESS)” scheme by Zhang (, 418(2024), 116503) is nothing but identical to the existing Three-Parameters Optimal/Generalized- method within the GS4-II framework for physically undamped problems. Furthermore, it is noteworthy to point out that also within the GS4-II framework, for physically damped problems, U0/U0, TPO/G-, and OESS all share the same undesired overshooting deficiency in comparison to V0/V0. Numerical examples validate the issues identified about the accuracy and overshooting analysis.

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批判性评论/查看“与结构动力学二阶线性多步方法等效的最优隐式单步时间积分方法：基于分析框架的精度分析”


张（Zhang，418（2024），116503）对所谓广义单步时间积分方法的批判性审视和回顾被证明和证明不是新的，而是与现有的 GS4-II 计算框架相同。解决以下问题：（1）首先，声称引入了 16 个参数（有些误导，如下所示）以获得更广义的单步数学公式。我们证明了 4 个条件是冗余的，并且具有最低的一致性要求，因此，该框架并不是新的，并且与具有 12 个参数的 GS4-II 计算框架的原始版本相同。 (2)然后，重新审视超调行为，对分析、失误和信息进行澄清和纠正，具有重要意义。 （3）接下来，还重新审视了时移现象，以显示加速度中时间精度顺序的恢复，这在许多现有文献中都被误解了。 (4) 最后，所谓新提出的方案中的每个设计都已经存在，并且可以在 GS4-II 计算框架中找到。特别是，通过GS4-II，我们进一步证明和论证了张所谓的“单参数最优等效单步（OESS）”方案（，418（2024），116503）与现有的三个方案完全相同。 GS4-II 框架内的参数优化/广义方法，用于解决物理无阻尼问题。此外，值得注意的是，同样在 GS4-II 框架内，对于物理阻尼问题，与 V0/V0 相比，U0/U0、TPO/G- 和 OESS 都具有相同的不期望的超调缺陷。数值例子验证了准确性和超调分析所发现的问题。