Design and fabrication of vertical axis wind mill with solar system

A set of non-linear algebraic equations, which must to be solved using a numerical procedure, for ball’s motion, sliding friction and internal loading distribution computation in a high-speed, single-row, angular-contact ball bearing, subjected to a known combined radial, thrust and moment load, which must be applied to the inner ring’s centre of mass, is introduced For each step of the procedure it is required the iterative solution of 9 Z + 3 simultaneous non-linear equations – where Z is the number of the balls – to yield exact solution for contact angles, ball attitude angles, rolling radii, normal contact deformations and axial, radial, and angular deflections of the inner ring with respect the outer ring The focus of this work is obtaining the steady state forces and moments equilibrium conditions on the balls, under the selected external loading, and to describe the numerical aspects of the procedure The numerical results derived from the described procedure shall be published later

Invited: Ball’s motion, sliding friction and internal load distribution in a high-speed ball bearing subjected to a combined radial, thrust, and moment load

A set of non-linear algebraic equations, which must to be solved using a numerical procedure, for ball's motion, sliding friction and internal loading distribution computation in a high-speed, single-row, angular-contact ball bearing, subjected to a known combined radial, thrust and moment load, which must be applied to the inner ring's centre of mass, is introduced. For each step of the procedure it is required the iterative solution of 9Z + 3 simultaneous non-linear equations—where Z is the number of the balls—to yield exact solution for contact angles, ball attitude angles, rolling radii, normal contact deformations and axial, radial, and angular deflections of the inner ring with respect the outer ring. While the focus of this work is obtaining the steady state forces and moments equilibrium conditions on the balls, under the selected loading, the numerical aspects of the procedure are treated in a companion paper. The numerical results derived from the described procedure shall be published later.

https://iopscience.iop.org/article/10.1088/1742-6596/641/1/012017/pdf

Ball's motion, sliding friction, and internal load distribution in a high-speed ball bearing subjected to a combined radial, thrust, and moment load, applied to the inner ring's center of mass: Numerical procedure

Slewing ring bearings are very safety critical products and its usage ranges from tower cranes, wind mills to nuclear reactors. They have to meet the requirements exactly and perform in the environmental conditions of the application. There is no standard design procedure is available because of the number of design variables involved in this design and the dependency of the critical applications. Analysis of large diameter bearings is complex process. The evaluation of change in contact angle due to applied load is vital in order to study the load carrying capacity of large diameter bearings. Analytical and Numerical procedures have been developed to calculate various design factors such as contact angle, contact stress and deformation. The Change in Contact angle of balls determined by using FEA. The change in Contact Angle was compared with analytical, FEA and the Newton-Raphson method. The results show a good agreement with the values calculated using Hertz’s relations for deformation. The FEA method was used to get the nodal solution of Contact angle, Contact Stress and Deflection for various loading conditions. The FEA results were compared with the analytical Hertz method.

M.S. Starvin

Papers

Finite Element Analysis of Large Diameter Bearings Subjected to Thrust Load