Nano-mechanical sensing exploiting frequency shift of a cantilever beam to obtain the mass of an object is well
established. This paper is aimed at investigating the possibility of sensing mass as well as rotary inertia of an
attached object. The rotary inertia of an object gives additional insight into its shape, which is a key motivation
of this work. It is shown that by using two modes it is possible to formulate two coupled nonlinear equations,
which it turn can be solved to obtain mass and rotary inertia simultaneously from the frequency shifts of first
two vibration modes. Analytical results are validated using high fidelity molecular mechanics simulation.
S. Adhikari and H. Haddad Khodaparast, "Mass and rotary inertia sensing from vibrating cantilever nanobeams," Proc. SPIE 9802, Nanosensors, Biosensors, and Info-Tech Sensors and Systems 2016, 98020E (Presented at SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring: March 22, 2016; Published: 16 April 2016); https://doi.org/10.1117/12.2222116.
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