Abstract In this work, the phenomenon of the oscillation-free force measurement in a new sample shape, called the Generation III (Gen. III) sample in a previous work, was first physically analyzed. Based on metal physics findings and the classical elastic stress wave theory, a simplified one-dimensional elastic stress wave model was developed. For this model, several assumptions were applied so that the Gen. III sample was modeled by five thin bar sections with different section sizes and material properties. By implementing the derived governing equations in the MATLAB software, which enables the combination with a mathematical optimization algorithm (sequential quadratic programming), both the characteristic of the current Gen. III sample and its sensitivity to the geometric parameters (such as the section sizes of the beams) and the material properties could be calculated. The developed model can not only correctly calculate the principle section design, but also make correct predictions of effects that have been overlooked until know. The model assumptions are thus reasonable. It was found that strain hardening of the sample material has an influence on the geometric parameters of the Gen. III sample. Therefore, the Gen. III sample geometry may be slightly adapted for each material.

中文翻译：

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用于高速拉伸试样中无振荡力测量的分析设计和优化的一维应力波模型

摘要 在这项工作中，首次物理分析了一种新样品形状中的无振荡力测量现象，在以前的工作中称为第三代（Gen. III）样品。基于金属物理发现和经典弹性应力波理论，开发了一种简化的一维弹性应力波模型。对于这个模型，应用了几个假设，以便 Gen. III 样品由五个具有不同截面尺寸和材料特性的细棒截面建模。通过在 MATLAB 软件中实现导出的控制方程，可以与数学优化算法（顺序二次规划）相结合，既具有当前 Gen. III 样品及其对几何参数（如梁的截面尺寸）和材料特性的敏感性可以计算出来。所开发的模型不仅可以正确计算主截面设计，而且可以对已知之前被忽视的影响做出正确的预测。因此模型假设是合理的。发现样品材料的应变硬化对 Gen. III 样品的几何参数有影响。因此，Gen. III 样品几何形状可能会针对每种材料稍作调整。发现样品材料的应变硬化对 Gen. III 样品的几何参数有影响。因此，Gen. III 样品几何形状可能会针对每种材料稍作调整。发现样品材料的应变硬化对 Gen. III 样品的几何参数有影响。因此，Gen. III 样品几何形状可能会针对每种材料稍作调整。