... are presented to demonstrate the effects of the stiffness, the viscosity, and the mean axial speed on the stability boundaries. The differential quadrature scheme is developed to numerically solve the governing equation, and the computational results confirm the outcomes of the method of multiple scales...

... = ρ f D 2 f μ f = ρ f D 2 ω 2 π μ f where U o is the maximum velocity, A is the amplitude of vibration, ω is the excitation frequency, f is the frequency in Hz, ρ f is the fluid density, and μ f is the fluid viscosity. Only...

... finite element analysis fluid mechanics structural acoustics vibrations viscosity Thin circular disks are the principal components of a large number of macroscale and microscale engineered systems. Examples of macroscale disk resonators include the percussion instrument cymbal, information...

... nonlinear dynamical systems relaxation oscillators vibrations viscosity Recently, many applications of self-excited oscillation to machine systems, by making use of the special characteristic that a self-excited oscillator necessarily induces resonance with the natural frequency of the system...

... in the rotating coordinates, and one-order modal differential equations are obtained which may not be solved directly by Newmark- β method. To solve this problem, a modified Newmark- β method is presented to investigate dynamic effects of the asymmetry of rotor stiffness, the viscosity of oil, the rotor unbalance...

...Zhu Changsheng The effect of fluid viscosity on the developing process of the instability in an over-hung flexible rotor partially filled with fluid, the dynamical behavior of the rotor system while the instability occurs, the unstable region of rotational speeds, and the whirl frequency...

... space, its amplitude decreases, and its width broadens. Such is the damping effect of viscosity that one would anticipate from elementary considerations in related disciplines such as electrodynamics. Such is also the smoothing-out effect of dispersion. We also obtain an approximate solution...