Author:Shatalov, M; Marais, J; Fedotov, I; Tenkam, MJDate:Dec 2011Longitudinal 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
Author:Fedotov, IA; Polyanin, AD; Shatalov, M; Tenkama, EMDate:2010In 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
Author:Shatalov, M; Schiesser, W; Polyanin, A; Fedotov, IDate:Jul 2011New 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
Author:Shatalov, M; Fedetov, I; Tenkam, HMDDate:Mar 2008Modern 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