Investigating the stress state of a sample-standard column in forced-oscillation apparatus is critical to clearly quantify measurement credibility, offering insights into revealing intrinsic frequency-dependent elastic characteristics of a rock sample. To investigate the effects of the jointing condition, the location of strain gauges and device resonance on the stress state of a sample-standard column, we experiment with a typical forced-oscillation setup numerically and experimentally at frequencies of 2–800 Hz. Overall, the numerical model captures the primary features of the forced-oscillation device, which makes the simulated data fit well with the measured results. Meanwhile, based on the configuration of the sample-standard column with variable static friction in jointing contacts, the simulated results also indicate that mechanical contacts of the sample-standard-vibrator assembly lead to stress concentration, resulting in coordinate-dependent strains on both the sample and standard. Additionally, strain magnitude is also frequency-dependent, causing a relatively large measurement error on the elasticity of the sample at higher frequencies. Ultimately, numerical results not only optimize measurement workflow but also create a solid foundation for the interpretation of measured data.

中文翻译：

---

强制振荡装置的精度分析：数值模拟和实验研究

在强制振荡设备中研究样品标准柱的应力状态对于清楚量化测量可信度至关重要，它有助于洞察岩石样品固有的频率相关弹性特征。为了研究连接条件，应变仪的位置和设备共振对样品标准柱应力状态的影响，我们在2–800 Hz的频率下进行了典型的强制振荡设置的数值实验。总体而言，数值模型反映了强制振荡设备的主要特征，这使得模拟数据与测量结果非常吻合。同时，根据样品标准柱在连接触点中具有可变静摩擦的配置，模拟结果还表明，样品-标准品-振动器组件的机械接触会导致应力集中，从而导致样品和标准品上的坐标相关应变。另外，应变大小也与频率有关，从而在较高频率下对样品的弹性造成较大的测量误差。最终，数值结果不仅优化了测量工作流程，而且为解释测量数据奠定了坚实的基础。