NON-LINEAR VIBRATION OF A FLEXIBLE SPINNING DISC WITH ANGULAR ACCELERATION

Non-linear dynamic responses are analyzed for a flexible spinning disc with angular acceleration. Based on the Kirchhoff plate theory and the von Karman strain theory, non-linear equations of motion are derived, which are coupled equations between the radial, tangential and transverse displacements. The equations of motion are discretized by using the Galerkin method. From the discretized equations, the dynamic responses are computed by the generalized-α time integration method. The analysis results show the effects of angular acceleration on the dynamic responses.