Design, Analysis, and Experiment of Multiring Permanent Magnet Bearings by Means of Equally Distributed Sequences Based Monte Carlo Method

Abstract

Load-carrying capacity analysis is an important procedure for designing the permanent magnet bearing (PMB). Generally, the magnetic force exerted between the ring magnets of PMB can be modeled by means of the equivalent magnetic charge method. In this case, the analytical methods are always simply compared to numerical methods; however, they are restricted by their applicability. The model based on the equivalent magnetic charge method contains multiple integrals; it is difficult to get the simulation results quickly through self-contained function of MATLAB. The equally distributed sequences based Monte Carlo method is used to simplify the complicated mathematical derivation and calculus of bearing capacity characteristics of multiring PMBs, and it might improve the computational efficiency of PMB structure design. The results of the Monte Carlo model are compared with the results of finite element analysis (FEA) using ANSYS, and the error correction factor is presented. The theoretical model is verified by the finite element analysis. Finally, the bearing forces in radial and axial directions of the PMBs with 4 pairs of magnetic rings were tested experimentally; the experiment result is approximately agreed with the simulation analysis. This method will be perfect for the engineering application involving multiring structural design of PMBs.

Analysis of an Axial Permanent Magnetic Bearing for 1MW Horizontal Axis Wind

“…However, there is small decrease produce in the axial magnetic force wherein the size of the magnetic gap (c) gets large. This result is similar to studies in that a smaller magnetic gap width will produce a higher magnetic force [7,35]. The effect of axial magnetic force fluctuation from magnetic gap variation is insignificant, with a difference of 3.16 % for axial PMB with a thickness of 0.1m, a difference of 2 % for a magnet thickness of 0.15m, and a difference of 1.69% for a magnet thickness of 0.2m.…”

“…The study of modeling of the axial permanent magnetic bearing that comparing the theoretical simulation of the Monte Carlo method and the finite element method found that errors approximate zero and are consistent. Moreover, the experimental results are consistent with the simulation analysis [13]. The previous study [3-8] [10-12] shows the permanent magnetic bearings reduce friction, minimizes maintenance costs, can replace mechanical bearings.…”

Friction-Free Permanent Magnet Bearings for Rotating Shafts: A Comprehensive Review

“…6) in the mechanical APDL of ANSYS, and results of axial force were used to validate mathematical model results of all the three structures. Equally distributed sequences based Monte Carlo method [45] was used to solve multiple integrals in force and stiffness equations of multi-ring PMB based on equivalent surface charge method. The results of proposed method were validated with results of FEA and experiments for PMB with four ring pairs.…”

Aerodynamic Design Optimization of Transonic Natural-Laminar-Flow Airfoil at Low Reynolds Number

“…e main difficulties for uncertainty quantification are the excessive computational cost and unsatisfactory accuracies of the mean and variance. For instance, the widely used Monte Carlo simulation (MCS) [44] method basically requires at least 10 4 samples to get sufficiently accurate estimate of the mean and variance, which certainly causes a much high cost of computation. In the aspect of efficient and accurate uncertainty quantification, the PCE is a promising method for accurate estimation of mean and variance of the objectives [45,46].…”