Application of Optimization Method and Least Square Method in Reliability Analysis of Bearing Roller

2018 ◽  
Keyword(s):  
Reliability Analysis ◽  
Least Square Method ◽  
Optimization Method ◽  
Least Square

scholarly journals Linear time-delay circuit and stabilizing controller

2021 ◽  
Vol 2091 (1) ◽  
pp. 012005
Author(s):  
Yuhao Cong ◽  
Yong Zhang ◽  
Guang-Da Hu
Keyword(s):  
Time Delay ◽  
Large Time ◽  
Linear Time ◽  
Least Square Method ◽  
Optimization Method ◽  
Delay System ◽  
Least Square ◽  
Single Chip ◽  
Stabilizing Controller ◽  
Delay Circuit

Abstract This paper is concerned with a linear time-delay circuit and its feedback control. We use electronic components such as resistors and capacitors to realize a linear time-delay system. The time-delays are generated by operational amplifiers and single-chip microcomputers. Based on the actual data measured by the oscilloscope, the parameters of the system are estimated using the least square method. Then a comparison study between the waveform image measured by the oscilloscope and the numerical simulation obtained by MATLAB verifies the effectiveness of the parameters estimations of the circuit system. Furthermore, the circuit system is unstable with a large time-delay, a feedback controller is designed to stabilize the circuit system using the optimization method in the literature. Finally, the experimental results in the linear time-delay circuit show the effectiveness of the optimization method.

Novel weights optimization method based on least square method for FPN AND-Rule

2010 ◽  
Vol 24 (7) ◽  
pp. 667-672 ◽  
Author(s):  
Jianxiao Zou ◽  
Houjun Wang ◽  
Jun Shu ◽  
Shicai Fan
Keyword(s):  
Least Square Method ◽  
Optimization Method ◽  
Least Square

Reliability Evaluation on Machining Center Based on Three-Parameter Weibull Distribution

2012 ◽  
Vol 430-432 ◽  
pp. 1645-1649 ◽  
Author(s):  
Gong Chang Ren ◽  
Zhi Wei Yang ◽  
Bo Min Meng
Keyword(s):  
Weibull Distribution ◽  
Goodness Of Fit ◽  
Location Parameter ◽  
Least Square Method ◽  
Optimization Method ◽  
Reliability Evaluation ◽  
Least Square ◽  
Distribution Model ◽  
Adaptive Genetic Algorithm ◽  
Machining Center

In order to improve the model accuracy of reliability evaluation, the Three-Parameter Weibull Distribution model of time between fault was established by introducing location parameters. The correlation coefficient optimization method based on the adaptive genetic algorithm was firstly applied to estimate the location parameter of the Three-Parameter Weibull Distribution. Shape parameter and scale parameter were obtained by the least square method. The time between failures of these series machining center submitting to three-parameter weibull Distribution was checked by the test hypothesis of goodness-of-fit distribution. Finally, the machining center was carried out reliability evaluation based on the Three-Parameter Weibull Distribution model.

A NEW METHOD TO CALCULATE THE MECHANICS PARAMETERS OF SLIP SURFACES

2008 ◽  
Vol 22 (09n11) ◽  
pp. 1558-1563
Author(s):  
Q. SHEN ◽  
J. XU ◽  
C. X. CHEN ◽  
Z. H. YE ◽  
R. WANG
Keyword(s):  
Robust Regression ◽  
Slip Surface ◽  
Back Analysis ◽  
Least Square Method ◽  
Optimization Method ◽  
Least Square ◽  
New Method ◽  
Landslide Stability ◽  
Slip Surfaces ◽  
Site Test

Obtaining the more exact parameters of slip surfaces is proved to be crucial in the analysis of landslide stability, and there are four study methods available i.e. in-site test, laboratory test, back analysis and theoretical analysis. In general, the former two are the basic one, whereas the latter two are secondary. A set of test values about shearing stress and direct stress can be obtained through in-situ and lab tests, then the parameters of slip surface should be calculated to fitting for the test value by the least square method usually, but the effect of anomalous values should increase markedly because the quadratic sum of residual errors is adopted in calculations. In order to reduce the effect of anomalous value, a new method based on the robust regression analysis and the particle swarm optimization method are adopted to calculate the mechanics parameter of landslides in this paper. In the new method, the sum of residual absolute values is used to replace the quadratic sum of residual error, and then the quadratic sum of anomalous value can be avoided. Comparing to the least square method, the new method can reduce availably the effect of abnormal values, and the results are more credible. Furthermore, an engineering example is cited to show the validity.

scholarly journals Optimization Design of an Axial Split-Phase Bearingless Flywheel Machine with Magnetic Sleeve and Pole-Shoe Tooth by RSM and DE Algorithm

Energies ◽  
2020 ◽  
Vol 13 (5) ◽  
pp. 1256 ◽  
Author(s):  
Zhiying Zhu ◽  
Jin Zhu ◽  
Hailang Zhu ◽  
Xi Zhu ◽  
Yajie Yu
Keyword(s):  
Response Surface ◽  
Optimization Design ◽  
Least Square Method ◽  
Basic Structure ◽  
Optimization Method ◽  
Tooth Profile ◽  
Least Square ◽  
Initial Structure ◽  
Element Analysis ◽  
De Algorithm

In order to improve the suspension and torque performance of a bearingless flywheel machine, a new type of axial split-phase bearingless flywheel machine with a magnetic sleeve and pole-shoe tooth is analyzed and optimized as described in this paper. Based on the basic structure and working characteristics of the machine, the response surface methodology (RSM) and differential evolution (DE) algorithm are adopted to further optimize the parameters of the stator teeth of the machine to improve the radial space utilization and motor output performance. Firstly, the Box–Behnken design (BBD) and finite element analysis (FEA) are combined to select the representative optimization parameter combinations to establish the sample data space, and the response surface models of machine torque and suspension force are established using the least square method. Besides this, the DE algorithm is employed to obtain the optimal tooth profile parameter configuration for the multi-objective optimization of machine performance. Finally, the output performances of the machine before and after optimization are compared under initial and optimized winding turns. The results show that, compared with the initial structure, the average torque and suspension force of the optimized machine increase by 36.46 % and 108.22% respectively, which demonstrates the effectiveness of the tooth profile optimization method. At the same time, an experimental prototype is also produced, laying the experimental foundation for further practical exploration.

A Research on the Trajectory Optimization Method of Automatic Feeding Ship

2014 ◽  
Vol 615 ◽  
pp. 153-157
Author(s):  
Zhi Ying Zheng ◽  
De An Zhao ◽  
Yue Ping Sun ◽  
Jian Qing Hong ◽  
Hui Gui Liu
Keyword(s):  
Trajectory Optimization ◽  
Autonomous Navigation ◽  
Optimal Trajectory ◽  
Golden Section ◽  
Least Square Method ◽  
Optimization Method ◽  
Minimum Variance ◽  
Least Square ◽  
Golden Section Method ◽  
The Mathematical Model

This paper introduces an automatic feeding ship that applied in breeding crabs. For realizing autonomous navigation and making feed uniform on the surface of the aquaculture ponds, the GPS and automatic feeding machine are used on the ship. Bait scatters movement was analyzed by the method of physics and geometry which based on the structure and parameters of automatic feeding machine. For getting the mathematical model of bait distribution, the least square method is adopted to fit the experimental data. On this basis, the minimum variance of the bait thickness was selected as the objective function. An optimal trajectory was generated by using golden section method.

Adaptive Objective Coordinate Optimization Method with Unknown Parameter

2011 ◽  
Vol 135-136 ◽  
pp. 179-186
Author(s):  
Biao Wang ◽  
Chang Qing Wang ◽  
Feng Ru ◽  
Xiao Lan Ma
Keyword(s):  
Control System ◽  
Unknown Parameter ◽  
Optimization Problems ◽  
Least Square Method ◽  
Optimization Method ◽  
Least Square ◽  
Line Identification ◽  
Optimization Control ◽  
On Line ◽  
Object Parameter

Multiple has accused of unknown parameter optimization problems of implementation of the object. Containing identification link should adaptive objective coordinate optimization control system. The local objects in decomposition based on optimizing, application target coordinate law to selected optimal criteria based on the minimum value to ensure coordinated operation in the process of making optimal index for global convergence, achieve the purpose of overall optimization. In order to execute real time on-line identification, Recursion least square method (RLS) could be used for the estimation of object parameter in the identification section.

Research on the Method of Determining M Value of the Rock-Socketed Continuous Wall

2011 ◽  
Vol 243-249 ◽  
pp. 2483-2486
Author(s):  
Hai Yan Zhang
Keyword(s):  
Least Square Method ◽  
Optimization Method ◽  
Least Square ◽  
Construction Process ◽  
Concrete Wall ◽  
Concrete Walls ◽  
Supporting Structure ◽  
Deformation Curves ◽  
Structural Test

In recent years the rock-socketed continuous concrete walls have been applied in supporting structure of foundation excavation, and the main problem of which is how to simulate m value of wall bottom bedrock. In this paper, the m value of rock-socketed underground continuous concrete wall bedrock is monitored by a structural test about a typical engineering. The monitored data of foundation excavation supporting deformation are fitted by least-square method, and the bedrock m value of which are researched and analyzed based on an optimization method and fitting deformation curves. The test shows the monitored m value meets the corresponding engineering regulations and is related with the broken degree of rock on the monitored position, and the variability of which is lesser in the construction process.

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