Eigenfrequency loci veering, which indicates strong mode coupling and sometimes mode localization, is a much sought-after property in the applications of mass sensing and opto/electromechanics. A weak physical coupling is the mechanism responsible for the eigenfrequency loci veering and overhang is a widely used structure to realize such mechanism. A continuum model, which is more accurate and straightforward as compared with the discrete models, is presented for the structure of two overhanged cantilevers. The eigenvalue problem formulation based on this continuum model leads to a direct computation of the eigenfrequencies, which does not involve any numerical discretization procedure. A comprehensive study on the eigenfrequency loci veerings and mode splittings of the overhanged structure is presented. The influences of various parameters on the eigenfrequency loci crossing and veerings are also systematically studied. An efficient optimum design tool for the eigenfrequency lo...

中文翻译：

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悬臂耦合的两个悬臂的本征基因座穿越，弯曲和模式分裂

本征频率轨迹指示，表明强模式耦合，有时模式本地化，是质量感测和光/机电应用中广受欢迎的属性。弱的物理耦合是导致本征频率轨迹变化的机制，而悬突是实现这种机制的一种广泛使用的结构。提出了一个连续模型，与离散模型相比，它更精确，更直接，适用于两个悬挑悬臂的结构。基于此连续模型的特征值问题公式可直接计算特征频率，而无需任何数值离散过程。提出了悬垂结构的特征频率轨迹变化和模式分裂的综合研究。还系统地研究了各种参数对本征基因座穿越和转向的影响。一种有效的本振频率优化设计工具