Year
1984
Degree Name
Master of Engineering
Department
Department of Civil Engineering
Recommended Citation
Kurniawan, Agus, A three dimensional solution for a magneto-elastic vibration in a sphere, Master of Engineering thesis, Department of Civil Engineering, University of Wollongong, 1984. https://ro.uow.edu.au/theses/2373
Abstract
A three dimensional solution for a magneto-elastic vibration in a sphere is considered. The normal mode method has been applied to free vibrations, and the Airy stress-function's approach gives solutions for the differential equations of motion. The response of the system due to forced vibrations is obtained by developing the external forces into linear combinations of all the normal modal functions. Numerical solutions for radial and transverse displacements have thus been obtained. Furthermore, graphical solutions for axisymmetric displacement have also been provided for different modes of free vibration. In the above-suggested analysis, the coupling of electromagnetic and elastic waves is considered from the standpoint of linear elasticity and linearized electro-magnetic theory. The investigation of this coupling effect predictably shows that the effect of the magnetic field is to lower the amplitude of the elastic vibration.
Unless otherwise indicated, the views expressed in this thesis are those of the author and do not necessarily represent the views of the University of Wollongong.