Probabilistic modeling of mechanical cantilever oscillator fluctuation

The CADMD conference series started in Warsaw in 1994 and has been organized annually since then in Poland and Ukraine. The XXIX CADMD 2021 conference took place in Krakow. A short history of the conference can be found on its website: http://cadmd.lpnu.ua/. The aim of the conference is to exchange experiences between scientists of Ukraine and Poland and their young and promising colleagues in modern information technology, the development of CAD in mechanics, teaching methods and the implementation of automated systems in the educational process, and establishing closer ties between researchers. The main topics of discussion are as follows: automated design systems; robotics, mechatronics, and automation; process management, identification, modeling, and modeling of processes and systems; energy systems and environmental protection facilities – microelectromechanical systems; 3D scanning, printing, and augmented and virtual reality; engineering education.

Pagination/Pages:

pp. 121-131

Keywords

oscillator, atomic force microscope, probability density, mathematical expectation, variance

Abstract

The dynamics of oscillations of cantilever-type oscillators have been studied in this work. The probabilistic model of a cantilever is explained. Dependencies for the probability density, mean mathematical expectation, and standard deviation were developed. A fluctuation model of a cantilever was constructed, and the dependencies for the probability density for a direct problem were developed. The modeling of the mathematical expectation and phase variance for the inverse problem was performed.

Research Project

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Rights: AGH Licence (University Press)

Licencja AGH (University Press) - Fair use of copyrighted works

URI

https://repo.agh.edu.pl/handle/AGH/105575

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Rozdziały książek - W-ctwa AGH (OA)

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