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Browsing by Subject "Longitudinal vibrations"

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Longitudinal vibration of isotropic solid rods: from classical to modern theories

Author: Shatalov, M ; Marais, J ; Fedotov, I ; Tenkam, MJ Date: Dec 2011 Longitudinal waves are broadly used for the purposes of non-destructive evaluation of materials and for generation and sensing of acoustic vibration of surrounding medium by means of transducers. Many mathematical models describing longitudinal ... Read more
Longitudinal vibrations of a Rayleigh-Bishop rod

Author: Fedotov, IA ; Polyanin, AD ; Shatalov, M ; Tenkama, EM Date: 2010 In this work, for analyzing the longitudinal vibrations of a conic rod, the authors used the Rayleigh–Bishop model, which generalizes the Rayleigh model and takes into account both lateral displacements and the shear stress in the transverse ... Read more
Rayleigh-Love model of longitudinal vibrations of conical and exponential rods: Exact solutions and numerical simulation by the method of lines

Author: Shatalov, M ; Schiesser, W ; Polyanin, A ; Fedotov, I Date: Jul 2011 New exact solutions of equations of longitudinal vibration of conical and exponential rod are obtained for the Rayleigh-Love model. These solutions are used as reference results for checking accuracy of the method of lines. It is shown that ... Read more
Theory of longitudinal vibrations of an isotropic bar based on the Midlin-Herrmann model

Author: Shatalov, M ; Fedetov, I ; Tenkam, HMD Date: Mar 2008 Modern theories of one-dimensional bar vibrations account for lateral effects, which are substantial in the case of relatively thick bars. For example, in the Rayleigh-Love and Rayleigh-Bishop models the lateral displacements are supposed to ... Read more

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Browsing by Subject "Longitudinal vibrations"

Browsing by Subject "Longitudinal vibrations"

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