IN-PLANE FREE VIBRATION OF CIRCULAR DISKS USING CHARACTERISTIC ORTHOGONAL POLYNOMIALS IN RAYLEIGH-RITZ METHOD

摘要

The out-of plane flexural vibrations of the circular disks has been analytically investigated under different boundary conditions using several approximate methods, see for example Rao (1999). In comparison, only a few studies have been carried out on the vibrations within the plane of the disk. However, in many engineering applications involving circular disks, such as railway wheels, grinding wheels, disk brakes etc, in-plane vibrations can play a prominent role causing disk noise and vibration.