Rapidly rotating sliding cylinders: Trajectories with large lateral displacements
نویسندگان
چکیده
We show that rapidly rotating cylinders sliding on smooth surfaces can exhibit novel trajectories. The lateral deflection can be as large as the net displacement in the initial direction of motion. With a large enough initial angular speed, the cylinder can trace out a spiral trajectory having a large number of loops. An exact analytical result for large lateral deflection is also derived.
منابع مشابه
Exact normal forces and trajectories for a rotating tripod sliding on a smooth surface
We study the motion of a rotating tripod sliding over a smooth surface. The tripod is important and unique in that it is the only case where all aspects of the motion can be solved exactly. From the three constraint equations, we calculate the three normal forces and friction forces, which we then use to calculate the trajectory and other physical quantities of interest. We report novel results...
متن کاملA Numerical Study on the Aeroacoustic Radiation from a Finite Length Rotating Cylinder
Rotating cylinders have wide applications in different areas, especially the aerodynamic area. However, the acoustic behaviors of these components have not been widely studied. The generating noise from a spinning cylinder is mainly due to the detached vortices from the leeward of the body. In this study, the large eddy simulation technique is used to simulate the flow field over a three-dimens...
متن کاملPressure Calculation in the Flow Between Two Rotating Eccentric Cylinders at High Renolds Numbers
This paper reports the result of an analytical investigation of a steady, incompressible and viscous flow between two eccentric, rotating cylinders at high Reynolds number. A one dimensional case is far from reality because the gap between the cylinders is very small. Further, when their axes are displaced by a small distance, usually caused by bearing loads, two dimensional effects become obvi...
متن کاملDisplacements and Stresses in Pressurized Thick FGM Cylinders with Varying Properties of Power Function Based on HSDT
Using the infinitesimal theory of elasticity and analytical formulation, displacements and stresses based on the high-order shear deformation theory (HSDT) is presented for axisymmetric thick-walled cylinders made of functionally graded materials under internal and/or external uniform pressure. The material is assumed to be isotropic heterogeneous with constant Poisson’s ratio and radially varyi...
متن کاملSemi-analytical Solution for Time-dependent Creep Analysis of Rotating Cylinders Made of Anisotropic Exponentially Graded Material (EGM)
In the present paper, time dependent creep behavior of hollow circular rotating cylinders made of exponentially graded material (EGM) is investigated. Loading is composed of an internal pressure, a distributed temperature field due to steady state heat conduction with convective boundary condition and a centrifugal body force. All the material properties are assumed to be exponentially graded a...
متن کامل