Title :
Rayleigh model ofvibrations of N-stepped bar
Author :
Fedotov, Igor ; Gai, Ying ; Joubert, Stephan V. ; Shatalov, Michael
Author_Institution :
Dept. of Math. Technol., Tshwane Univ. of Technol., Pretoria
fDate :
May 28 2005-June 1 2005
Abstract :
In this paper we consider a model of an N-stepped bar. It is assumed that the longitudinal vibrations in each section of the thick bar is described by a fourth order Rayleigh equation. The analytical tools of vibration analysis are based on finding eigenfunctions with piecewise continuous derivatives, which are orthogonal with respect, to a specially chosen weight function. The solution of the problem is formulated in terms of Green function
Keywords :
Green´s function methods; bars; eigenvalues and eigenfunctions; vibrations; Green function; N-stepped bar vibrations; Rayleigh model; eigenfunctions; fourth order Rayleigh equation; piecewise continuous derivatives; vibration analysis; Africa; Bars; Boundary conditions; Eigenvalues and eigenfunctions; Electronic mail; Equations; Green function; Piezoelectric transducers; RLC circuits; Resonance;
Conference_Titel :
Days on Diffraction, 2005. DD 2005. Proceedings of the International Conference
Conference_Location :
St.Petersburg
Print_ISBN :
5-9651-0140-6
DOI :
10.1109/DD.2005.204881
