Relative sensitivity of nano-mechanical cantilevers to stiffness and mass variation
Relative sensitivity of nano-mechanical cantilevers to stiffness and mass variation
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DOI：
10.1016/j.ijmecsci.2023.108728
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发表时间：
2023-12-21
影响因子：
7.3
通讯作者：
Song，Yumeng
中科院分区：
文献类型：
--
作者：
Yang，Yue;Tian，Yanling;Song，Yumeng
研究纳米机械悬臂梁谐振器对由吸附物引起的刚度和质量变化的相对敏感度是至关重要的。该分析有助于提高精确度和稳定性，以及评估是否可以忽略质量和刚度的不必要增加。提出了一种新的基于Rayleigh-Ritz方法的无量纲数学模型，用于研究相对灵敏度与相关耦合参数的关系。结果表明，截面几何参数对附加抗弯刚度的提高幅度大于附加线密度。增加的刚度和增加的质量精确地抵消了对称于悬臂长度轴心的影响。通常，在决定附加刚度和附加质量之间的主导因素时，吸附物的位置比横截面特性更为关键。该模型与有限元分析和试验结果吻合较好。通过确定最佳的吸附位置和弯曲模式，该模型可以提高测量与吸附物的杨氏模数和密度相关的所需性质的准确性和稳定性。
Investigating the relative sensitivity of nano-mechanical cantilever resonators to variations in stiffness and mass caused by adsorbates is essential. The analysis helps improve accuracy and stability as well as evaluating if undesired increases in mass and stiffness can be disregarded. A new dimensionless mathematical model based on the Rayleigh–Ritz method for studying the relationship between the relative sensitivity and related coupled parameters is proposed in this study. The results reveal that the geometric parameters of the cross-section tend to enhance the added bending rigidity more than the added linear density. The added stiffness and added mass exhibit precisely counteractive influences symmetrically to the cantilever’s length axis centre. Commonly, the location of the adsorbate is more crucial than the cross-section property in determining the dominant factor between added stiffness and added mass. The model agrees well with both finite element analysis and experimental results. By identifying optimal adsorbate locations and bending modes, this model can enhance the accuracy and stability of measuring desired properties related to the Young’s modulus and density of the adsorbate.