This article analyzes the dynamic stability of pre-warped, rotating circular disks. Simulation is used to determine asymmetric equilibria and corresponding stability maps for varying load and disk rotation. Experimental results corroborated the presence of a rotating, asymmetric equilibrium for low speeds. At higher speeds, aerodynamically excited vibration made it impossible to identify steady equilibria. However, the nature of the aerodynamic excitation and its onset were dramatically affected by the presence of uniform loading on the disk. In addition, at high rotation speeds, the disk appears to have a steady equilibrium rotation at one quarter of the rotation speed of the disk.
SonHKikuchiNUlsoyAG. Dynamics of prestressed rotating anisotropic plates subject to transverse loads and heat sources. Part I: Modeling and solution method. J Sound Vib2000; 236(3): 457–485.
13.
SonHKikuchiNUlsoyAG. Dynamics of prestressed rotating anisotropic plates subject to transverse loads and heat sources. Part II: Application to a specially orthotropic disk. J Sound Vib2000; 236(3): 487–504.
14.
YuRCMoteCD. Vibration and parametric excitation in asymmetric circular plates under moving loads. J Sound Vib1987; 119: 409–427.
15.
ShenIYMoteCD. Parametric resonances of a circular plate with inclusions subjected to a rotating spring. J Sound Vib1991; 149: 164–169.
16.
SheplakMDugundjiJ. Large deflections of clamped circular plates under initial tension and transitions to membrane behavior. J Appl Mech1998; 65: 107–115.
17.
RamanAMoteCD. Effects of imperfection on the non-linear oscillations of circular plates spinning near critical speed. Int J Non-Linear Mech2001; 36: 261–289.
18.
RamanAMoteCD. Experimental studies on the non-linear oscillations of imperfect circular disks spinning near critical speed. Int J Non-Linear Mech2001; 36: 291–305.
19.
RenshawAAMoteCD. A perturbation solution for the flexible rotating disk: non-linear equilibrium and stability under transverse loading. J Sound Vib1995; 183: 309–326.
