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Effects of the Casimir Force and Surface Elasticity on the Natural Frequencies of Cantilever AFM Probes

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Natural frequencies of cantilever probes are one of the most significant parameters in optimizing the performance of an atomic force microscope (AFM). In this article, a theoretical model based on a continuum mechanics approach is presented towards investigation of the natural frequencies for transverse vibration of a cantilever beam when taking the Casimir force and surface properties into account. The characteristic equation is derived. The effects of surface elasticity, residual surface tension and Casimir force on the natural frequencies of cantilever beams are examined. Obtained results might be helpful for the design of cantilever probes in AFM.
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Document Type: Research Article

Publication date: 01 January 2018

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  • Acta Acustica united with Acustica, published together with the European Acoustics Association (EAA), is an international, peer-reviewed journal on acoustics. It publishes original articles on all subjects in the field of acoustics, such as general linear acoustics, nonlinear acoustics, macrosonics, flow acoustics, atmospheric sound, underwater sound, ultrasonics, physical acoustics, structural acoustics, noise control, active control, environmental noise, building acoustics, room acoustics, acoustic materials, acoustic signal processing, computational and numerical acoustics, hearing, audiology and psychoacoustics, speech, musical acoustics, electroacoustics, auditory quality of systems. It reports on original scientific research in acoustics and on engineering applications. The journal considers scientific papers, technical and applied papers, book reviews, short communications, doctoral thesis abstracts, etc. In irregular intervals also special issues and review articles are published.
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