Abstract
ABSTRACTIn this study, integral transform technique is used to investigate the thermally induced vibration of an elliptical disk. The axisymmetric temperature distribution in the disk is determined by conductivity equation and the corresponding initial and boundary conditions using an extended integral transform technique. The problem of thermally induced vibration of the disk with both ends clamped extremes is solved by developing an integral transform for double Laplace differential equation. The thermal moment is derived on the basis of temperature field, whereas maximum normal stresses are derived based on resultant bending moments per unit width. The results are obtained in series form in terms of Mathieu functions, and numerical results are shown in figures.
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