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Please use this identifier to cite or link to this item: http://hdl.handle.net/10204/972

Title: Another approach to vibrational analysis of stepped structures
Authors: Fedotov, I
Joubert, S
Marais, J
Shatalov, M
Keywords: Stepped structures
Variable cross-sections
Eigenvalues
Non-classical boundary conditions
Green functions
Transducers
Issue Date: 2006
Publisher: Kent State University
Citation: Fedotov, I, et al. 2006. Another approach to vibrational analysis of stepped structures. Electronic Transactions on Numerical Analysis, Vol. 24, pp 66-73
Abstract: In this paper a model of an N-stepped bar with variable Cross-sections coupled with foundation by means of lumped masses and springs is studied. It is assumed that the process of vibrations in each section of the bar is described by a wave equation. The analytical tools of vibration analysis are based on finding eigenfunctions with piecewise continuous derivatives, which are orthogonal with respect to a generalized weight function. These eigenfunctions automatically satisfy the boundary conditions at the end points as well as the non-classical boundary conditions at the junctions. The solution of the problems is formulated in terms of Green function. By means of the proposed algorithm a problem of arbitrary complexity could be considered in the same terms as a single homogeneous bar. This algorithm is efficient in design of low frequency transducers. An example is given to show the practical application of the algorithm to a two-stepped transducer.
Description: Copyright: 2006 Kent State University
URI: http://hdl.handle.net/10204/972
ISSN: 1068-9613
Appears in Collections:Radar and electronic warfare systems
General science, engineering & technology

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