AI 中文总结
本研究针对纳米机械谐振器的高阶非线性提取问题，提出基于backbone曲线的鲁棒框架，通过基准测试验证其在非线性表征上优于传统频率响应技术。
AI 中文摘要
纳米机械谐振器是具有高灵敏度和精度的非线性动力学研究的强大平台。我们研究了高Q值纳米机械弦谐振器在杜芬（Duffing） regime 内及之外的非线性响应，并提出了一种鲁棒框架以准确提取其保守非线性。该方法基于从 ringdown 测量获得的 backbone 曲线，固有地对小频率波动具有弹性，同时明确考虑了对称破缺和非对称破缺非线性。为验证该方法，我们对纳米弦谐振器进行了互补的 ringdown 和频率响应测量，并将基于 backbone 的提取与已建立的频率响应技术进行基准测试。比较结果证实了所提框架的准确性，并展示了其在非线性表征方面优于传统方法的优势。
英文摘要
Nanomechanical resonators are a powerful platform for studying nonlinear dynamics with high sensitivity and precision. We explore the nonlinear response of a high-Q nanomechanical string resonator in and beyond the Duffing regime and introduce a robust framework for accurately extracting its conservative nonlinearities. The method is based on the backbone curve obtained from ringdown measurements, making it inherently resilient to small frequency fluctuations while explicitly accounting for both symmetry-breaking and non-symmetry-breaking nonlinearities. To validate the approach, we perform complementary ringdown and frequency-response measurements on the nanostring resonator and benchmark the backbone-based extraction against established frequency-response techniques. The comparison confirms the accuracy of the proposed framework and demonstrates its advantages over conventional methods for nonlinear characterization.
