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Author Atci, Duygu Çömen ♦ Özkaya, Erdoğan
Source United States Department of Energy Office of Scientific and Technical Information
Content type Text
Language English
Subject Keyword CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS ♦ APPROXIMATIONS ♦ BEAMS ♦ BOUNDARY CONDITIONS ♦ DISTURBANCES ♦ EQUATIONS OF MOTION ♦ FLUIDS ♦ MATHEMATICAL SOLUTIONS ♦ NONLINEAR PROBLEMS ♦ PERTURBATION THEORY ♦ SIMULATION
Abstract In this study, vibrations of fluid conveying micro-beams under non-ideal boundary conditions are investigated. Non-ideal boundary conditions are modeled as a linear combination of ideal clamped and ideal simply supported boundary conditions. The weighting factor k is presented as a rate of non-ideal boundary condition. Non-ideal clamped and non-ideal simply supported beams are both considered to see the effects of the boundary conditions. Hamilton’s principle is used to obtain equations of motion of the system and the method of multiple scales which is one of the perturbation techniques is applied to the equation. Approximate solutions of the linear and nonlinear equations of motion are obtained and the effects of non-ideal boundary conditions on natural frequencies are presented.
ISSN 0094243X
Educational Use Research
Learning Resource Type Article
Publisher Date 2016-06-08
Publisher Place United States
Volume Number 1738
Issue Number 1


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