The Optimal Design of Multi-Level Planetary Gear Reducer

2010 ◽  
Vol 139-141 ◽  
pp. 1308-1311 ◽  
Author(s):  
Jing Bing Wu ◽  
Lun Shu ◽  
He Ming Cheng
Keyword(s):  
Mathematical Model ◽  
Optimal Design ◽  
Load Capacity ◽  
Planetary Gear ◽  
Maximum Load ◽  
Practical Design ◽  
Optimal Function ◽  
Multi Level ◽  
The Mathematical Model ◽  
Center Distance

Based on the analysis and study of the composite reducer, the allocation of transmission ratio is considered to be the key to optimal design of multi-level planetary gear reducer. In view of so many discussion and study of the minimum volume as the optimization objective existed, this paper regards the maximum load capacity as the optimal goal on condition that the center distance or size is given, and then establishes the optimal mathematical model. The related constraints are given according to the theoretical knowledge and practical design experience. In this paper, an optimal function procedure that based on genetic is used to optimize the mathematical model. The satisfied result has been worked out combined with the practical example. Compared to the original program, the load capacity of 17.8% is improved. In addition, some references are provided to the optimal design of planetary gear reducer.

An Accurate Solution of the Gas Lubricated, Flat Sector Thrust Bearing

1977 ◽  
Vol 99 (1) ◽  
pp. 82-88 ◽  
Author(s):  
I. Etsion ◽  
D. P. Fleming
Keyword(s):  
Film Thickness ◽  
Thrust Bearing ◽  
Load Capacity ◽  
Thickness Distribution ◽  
Maximum Load ◽  
Accurate Solution ◽  
Operating Conditions ◽  
Thrust Bearings ◽  
Practical Design ◽  
Minimum Film Thickness

A flat sector shaped pad geometry for gas lubricated thrust bearings is analyzed considering both pitch and roll angles of the pad and the true film thickness distribution. Maximum load capacity is achieved when the pad is tilted so as to create a uniform minimum film thickness along the pad trailing edge. Performance characteristics for various geometries and operating conditions of gas thrust bearings are presented in the form of design curves. A comparison is made with the rectangular slider approximation. It is found that this approximation is unsafe for practical design, since it always overestimates load capacity.

Multi-Object Multi-Discipline Probabilistic Design of High-Pressure Turbine Blade-Tip Radial Running Clearance

2013 ◽  
Vol 572 ◽  
pp. 551-554
Author(s):  
Wen Zhong Tang ◽  
Cheng Wei Fei ◽  
Guang Chen Bai
Keyword(s):  
Mathematical Model ◽  
High Pressure ◽  
Optimal Design ◽  
Mechanical System ◽  
High Accuracy ◽  
Probabilistic Design ◽  
High Pressure Turbine ◽  
Surface Method ◽  
Blade Tip ◽  
The Mathematical Model

For the probabilistic design of high-pressure turbine (HPT) blade-tip radial running clearance (BTRRC), a distributed collaborative response surface method (DCRSM) was proposed, and the mathematical model of DCRSM was established. From the BTRRC probabilistic design based on DCRSM, the static clearance δ=1.865 mm is demonstrated to be optimal for the BTRRC design considering aeroengine reliability and efficiency. Meanwhile, DCRSM is proved to be of high accuracy and efficiency in the BTRRC probabilistic design. The present study offers an effective way for HPT BTRRC dynamic probabilistic design and provides also a promising method for the further probabilistic optimal design of complex mechanical system.

Effects of Grooving in a Hydrostatic Circular Step Thrust Bearing With Porous Facing

2015 ◽  
Vol 137 (3) ◽  
Author(s):  
M. Mahbubur Razzaque ◽  
M. Zakir Hossain
Keyword(s):  
Mathematical Model ◽  
Inclination Angle ◽  
Thrust Bearing ◽  
Load Capacity ◽  
Maximum Load ◽  
Seepage Flow ◽  
Groove Depth ◽  
Small Thickness ◽  
Flow Through ◽  
High Level

Effects of grooving in a porous faced hydrostatic circular step thrust bearing are investigated using a mathematical model based on the narrow groove theory (NGT). It is shown that enhancement of load capacity by grooving the step is possible at moderate level of permeability of the porous facing. Load capacity drops sharply with the increase of porous facing thickness. However, this drop in load capacity occurs mostly within a small thickness of the porous facing. Considering the coupled effects of permeability and inertia, it is recommended that the dimensionless step location should be 0.5–0.8 and the dimensionless step height should be less than five to take advantage of grooving. The groove geometric parameters such as groove inclination angle, fraction of grooved area and groove depth corresponding to the maximum load capacity are found to be the same for both with and without porous facing. However, with porous facing, the sensitivity of the load capacity on the groove parameters reduces. At high level of permeability, the effects of grooves may become insignificant because of high seepage flow through the porous facing.

Mathematical Model of Multi-Layer Wall with Phase Change Material and its Use in Optimal Design

2013 ◽  
Vol 649 ◽  
pp. 295-298
Author(s):  
Lubomir Klimes ◽  
Pavel Charvát ◽  
Josef Stetina
Keyword(s):  
Mathematical Model ◽  
Optimal Design ◽  
Phase Change ◽  
Phase Change Material ◽  
Control Volume ◽  
Operational Conditions ◽  
Volume Method ◽  
The Mathematical Model ◽  
Change Material

The paper deals with the mathematical model of the multi-layer wall containing the phase change material (PCM). The model utilizes the effective heat capacity method for modeling the latent heat of phase change and the control volume method is used for the discretization of the model. The utilization of the model is then demonstrated on the problem of the optimal design of the multi-layer wall with the PCM. The TMY2 data for the city of Brno were used in simulations as operational conditions. The main attention is aimed at the determination of the optimal thickness of the PCM layer for the multi-layer wall design with various thicknesses of the masonry.

scholarly journals Wind Turbine Planetary Gear Defect Detection with Mathematical Modelling through Transmission Error

2019 ◽  
Vol 8 (3S2) ◽  
pp. 367-370
Keyword(s):  
Mathematical Model ◽  
Wind Turbine ◽  
Error Function ◽  
Weight Ratio ◽  
Planetary Gear ◽  
Transmission Error ◽  
Power Sector ◽  
Wind Turbine Gearbox ◽  
The Mathematical Model ◽  
Modern Era

Analysis and prediction of planetary gear set defects has been a requirement in the wind power sector since years. Though a wind turbine gearbox is operating with many different gear types, planetary gear stage finds use in the modern era due to its high torque-to-weight ratio. This paper aims to build and validate the mathematical model of planetary gear set and understand the change in dynamic response by changing the error function during gear meshing. A single stage planetary gear has been implemented for the purpose of verification of the mathematical model. MW sized gearbox parameters have been fed to the model and real gear defect amplitude has been taken as error in the model. This helps understanding the dynamic behaviour of planetary gear set during operation under defective gear condition.

scholarly journals Разработка и исследование математической модели проектирования патрульного катера для Союза Мьянма

2020 ◽  
Author(s):  
A.I. Gaikovich ◽  
N.V. Nikitin ◽  
S. Pyae
Keyword(s):  
Mathematical Model ◽  
Search Algorithm ◽  
Load Capacity ◽  
Random Search ◽  
Design Model ◽  
Modular Architecture ◽  
Efficiency Criterion ◽  
Design Problems ◽  
The Mathematical Model ◽  
Mathematical Design

В статье описывается математические модель проектирования для обоснования концепции патрульного катера, предназначенного для Союза Мьянма. Основные кораблестроительные элементы определяются как результаты решения задачи математического программирования (оптимизации). В состав математической модели входят расчеты нагрузки, вместимости, остойчивости, ходкости, запаса плавучести. Критерием эффективности взято отношение вероятности перехвата нарушителя к приведенным годовым затратам. Для решения оптимизационной задачи используется алгоритм случайного поиска. Для реализации разработанной математической модели проектирования создан программный комплекс модульной архитектуры в оболочке DELPHI. В рамках исследования математической модели оценивалась её адекватность, чувствительность и устойчивость. Результаты исследования оказались удовлетворительными, что доказывает возможность применения разработанной математической модели для решения проектных задач на начальных стадиях разработки проекта патрульного катера.The article describes a mathematical design model to substantiate the concept of a patrol boat intended for the Union of Myanmar. The main shipbuilding elements are defined as the results of solving the problem of mathematical programming (optimization). The mathematical model includes calculations of the load, capacity, stability, propulsion, stock of buoyancy. The efficiency criterion is the ratio of the probability of interception of the intruder to the given annual costs. To solve the optimization problem, a random search algorithm is used. To implement the developed mathematical design model, a software package of modular architecture in the DELPHI shell was created. As part of the study of the mathematical model, its adequacy, sensitivity, and stability were evaluated. The research results were satisfactory, which proves the possibility of using the developed mathematical model to solve design problems in the initial stages of the design of a patrol boat project.

Optimal Design of Electrical Capacitance Tomography Sensor and Improved ART Image Reconstruction Algorithm Based On the Internet of Things

2021 ◽  
Author(s):  
Feng Chen ◽  
Deyun Chen ◽  
Lili Wang ◽  
Yang Botao
Keyword(s):  
Mathematical Model ◽  
Optimal Design ◽  
Image Reconstruction ◽  
Structural Parameters ◽  
Reconstruction Algorithm ◽  
Electrical Capacitance Tomography ◽  
Electrical Capacitance ◽  
Image Reconstruction Algorithm ◽  
Capacitance Tomography ◽  
The Mathematical Model

For the problems of low sensitivity, weak signal of high and low frequency and low signal-to-noise ratio in ECT, the mathematical model of the sensor is established. From the aspects of electrostatic field distribution and soft field effect, the influence of the structural parameters of the sensor on the sensor performance is analyzed. According to the influence of the components of the sensor on the sensitivity, the principle of optimal design is put forward. Based on the optimized Landweber image reconstruction algorithm, an ART image reconstruction algorithm with iterative correction is proposed, and the mathematical model of the algorithm is designed. According to constructing the target functional regularization term in the negative problems of electrical capacitance tomography, the iterative process of the modified art algorithm is deduced, and with adaptive step size, the convergence is speeded and accuracy of image reconstruction is improved. The experimental results show that the semi-convergence in the improved algorithm is obviously weakened, and the reconstructed image quality is better than that of the traditional art algorithm.

Topology Optimal Design of Heat Conductive Structure Based on Temperature Gradient Criterion

2014 ◽  
Vol 875-877 ◽  
pp. 1042-1045
Author(s):  
Ru Cao
Keyword(s):  
Mathematical Model ◽  
Optimal Design ◽  
Temperature Gradient ◽  
Structural Optimization ◽  
Evolutionary Structural Optimization ◽  
The Mathematical Model ◽  
Logic Method

Based on evolutionary structural optimization (Abbr. ESO) theory, the mathematical model using for topology optimal design of heat conductive structure is constructed by deleting the elements which temperature gradient is lower .Based on the selecting logic method, the numerical calculating program is developed by using APDL command in ANSYS. The feasibility and universality of this method have been well verified in the numerical calculating examples.

Design of Parameter Optimization Based on High Efficient Vibration Screener with Mechanics Properties

2012 ◽  
Vol 252 ◽  
pp. 149-153
Author(s):  
Ling Qin Meng ◽  
Zhi Wei Wang
Keyword(s):  
Mathematical Model ◽  
Optimal Design ◽  
Product Design ◽  
Parameter Optimization ◽  
Straight Line ◽  
High Efficient ◽  
Low Efficiency ◽  
The Mathematical Model ◽  
Productivity Ratio

The screener is widely use in metallurgy, mine, etc. Now the low productivity ratio and low efficiency influence a lot to the working of factories. In this paper, we analyze the motion of object on the screener, and then build the mathematical model to maximize the productivity ratio. Take the example of straight Line vibration screeners with mode ZKB. After maximizing with our method, the result shows that our method increases 21% in the productivity ratio, and the chance of object touching the screen holes increases 45%. This paper provides an effective method for the optimal design of screener in future.The results of this study can also be applied directly to enterprise product design.

Sign in / Sign up

Export Citation Format

Share Document