Abstract In Part I of this paper, a quasi-static experimental path-following method was developed that uses tangent quantities in a feedback controller, based on Newton’s method. The ability to compute an experimental tangent stiffness opens the door to more advanced path-following techniques. Here, we extend the experimental path-following method to: (i) pinpointing of critical points (limit and branching points); (ii) branch switching to alternate equilibrium paths; and (iii) tracing of critical points with respect to a secondary parameter. We initially explore these more advanced concepts via the virtual testing environment introduced and validated in Part I. Ultimately, the objective is to demonstrate novel testing procedures and protocols made possible by these advanced experimental path-following procedures. In particular, three pertinent examples are discussed: (i) design sensitivity plots for shape-adaptive morphing structures; (ii) validation of nonlinear FE benchmark models; and (iii) non-destructive testing of subcritical (unstable) buckling of thin-walled shells.

中文翻译：

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使用牛顿法进行平衡的实验路径跟踪。第二部分：应用程序和展望

摘要 在本文的第一部分中，基于牛顿方法，开发了一种准静态实验路径跟踪方法，该方法在反馈控制器中使用切线量。计算实验切线刚度的能力为更先进的路径跟踪技术打开了大门。在这里，我们将实验路径跟踪方法扩展到：（i）关键点（极限点和分支点）的精确定位；(ii) 分支切换到交替的平衡路径；(iii) 跟踪关于次要参数的关键点。我们最初通过在第 I 部分中介绍和验证的虚拟测试环境探索这些更先进的概念。最终，目标是展示通过这些先进的实验路径跟踪程序成为可能的新测试程序和协议。特别是，讨论了三个相关的例子：(i) 形状自适应变形结构的设计灵敏度图；(ii) 非线性有限元基准模型的验证；(iii) 对薄壁壳的亚临界（不稳定）屈曲进行无损检测。