scholarly journals A generalized meshing analysis method and its application to toroidal surface enveloping conical worm drive

2021 ◽  
Vol 13 (11) ◽  
pp. 168781402110630
Author(s):  
Chongfei Huai ◽  
Chunlin Chen ◽  
Yaping Zhao
Keyword(s):  
Mathematical Model ◽  
Reference Point ◽  
Unit Vector ◽  
Normal Vector ◽  
Analysis Method ◽  
Profile Angle ◽  
Toroidal Surface ◽  
Conical Worm ◽  
Worm Drive ◽  
Application Scope

A generalized method for the meshing analysis of conical worm drive is proposed, whose mathematical model is more general and whose application scope is expanded. A universal mathematical model, which can be conveniently applied to left-handed and right-handed conical worm pairs and their tooth flanks on different sides, is established by introducing the helical spin coefficient and tooth side coefficient of the conical worm. The pressure angle at the reference point, which is a key parameter for calculating the curvature parameters and lubrication angle, is determined based on the unit normal vector of the worm helical surface and is no longer determined by the tooth profile angle in the worm shaft section. The above improvement breaks away from the limitation of the classic meshing analysis method based on the reference-point-based meshing theory and thus expands its application scope. The toroidal surface enveloping conical worm drive is taken as an instance to illustrate the proposed method and the numerical example studies are conducted. The approaches to determine the reference point, the normal unit vector, and the curvature parameters at the reference point are all demonstrated in detail. The numerical results all manifest that the method presented in the current work is correct and practicable.

scholarly journals Engineering Mathematical Analysis Method for Productivity Rate in Linear Arrangement Serial Structure Automated Flow Assembly Line

2015 ◽  
Vol 2015 ◽  
pp. 1-10
Author(s):  
Tan Chan Sin ◽  
Ryspek Usubamatov ◽  
M. A. Fairuz ◽  
Mohd Fidzwan B. Md. Amin Hamzas ◽  
Low Kin Wai
Keyword(s):  
Mathematical Model ◽  
Failure Rate ◽  
Mathematical Analysis ◽  
Assembly Line ◽  
Flow Line ◽  
Analysis Method ◽  
Machining Time ◽  
Linear Arrangement ◽  
Final Assembly ◽  
Productivity Rate

Productivity rate (Q) or production rate is one of the important indicator criteria for industrial engineer to improve the system and finish good output in production or assembly line. Mathematical and statistical analysis method is required to be applied for productivity rate in industry visual overviews of the failure factors and further improvement within the production line especially for automated flow line since it is complicated. Mathematical model of productivity rate in linear arrangement serial structure automated flow line with different failure rate and bottleneck machining time parameters becomes the basic model for this productivity analysis. This paper presents the engineering mathematical analysis method which is applied in an automotive company which possesses automated flow assembly line in final assembly line to produce motorcycle in Malaysia. DCAS engineering and mathematical analysis method that consists of four stages known as data collection, calculation and comparison, analysis, and sustainable improvement is used to analyze productivity in automated flow assembly line based on particular mathematical model. Variety of failure rate that causes loss of productivity and bottleneck machining time is shown specifically in mathematic figure and presents the sustainable solution for productivity improvement for this final assembly automated flow line.

Influence of Banded Structure on the Properties of Petroleum Pipe Steel and its Rating Analysis Method

2021 ◽  
Vol 1035 ◽  
pp. 492-498
Author(s):  
Ke Tong ◽  
Qing Liu ◽  
Bo Zhu ◽  
Shen Cong ◽  
Xu Ying Kang
Keyword(s):  
Pipe Steel ◽  
Pipeline Steel ◽  
Analysis Method ◽  
Banded Structure ◽  
Current Standards ◽  
Application Scope

The influence of banded structure on the performance of petroleum pipe was introduced firstly, and the characteristics and application scope of different rating methods of banded structure studied, and the banded structure in different specimens rated using this standards/methods. The banded structure rating of petroleum pipe steel requires proper and reasonable standards/methods for different microstructures. The current standards/methods could not integrate standard diagram comparison with calculation, and can not cover the banded structure rating for all pipeline steel microstructures. Therefore, in order to satisfy the inspection needs of petroleum pipe steel, a new rating standard is required to be established.

scholarly journals Insulated Cable Temperature Calculation and Numerical Simulation

2018 ◽  
Vol 175 ◽  
pp. 03014
Author(s):  
Xin-jian Li ◽  
Jun Yang ◽  
Bing-qiang Yan ◽  
Xiao Zheng
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Spontaneous Combustion ◽  
Practical Significance ◽  
Constant Current ◽  
Sectional Area ◽  
Analysis Method ◽  
Insulation Layer ◽  
Insulating Layer ◽  
Temperature Calculation

A mathematical model of electrified insulated cable was established to calculate temperature of insulating layer. The insulating layer temperature is determined as a function of the current intensity, time, insulation layer thickness, etc. A widely used polyvinyl chloride (PVC) cable with sectional area of 4 mm2 was selected as example and its insulating layer temperature was simulated using ANSYS. The simulation revealed the evolution of insulating layer temperature with time, and also along radius after a certain time when the cable was applied with 40A and 60A constant current respectively. The analysis method has practical significance to prevent electrical fire and can be applied to analyze spontaneous combustion accident of insulated cable.

Model-Based EEG Analysis: Proposal and Verification of Mathematical Model for Application to Neurotechnology

2019 ◽  
Author(s):  
Kenyu Uehara ◽  
Takashi Saito
Keyword(s):  
Mathematical Model ◽  
Binary Classification ◽  
Least Square ◽  
Mental Condition ◽  
Support Vector ◽  
Model Parameters ◽  
Eeg Analysis ◽  
Analysis Method ◽  
Model Based ◽  
Proposed Model

Abstract We have modeled dynamics of EEG with one degree of freedom nonlinear oscillator and examined the relationship between mental state of humans and model parameters simulating behavior of EEG. At the IMECE conference last year, Our analysis method identified model parameters sequentially so as to match the waveform of experimental EEG data of the alpha band using one second running window. Results of temporal variation of model parameters suggested that the mental condition such as degree of concentration could be directly observed from the dynamics of EEG signal. The method of identifying the model parameters in accordance with the EEG waveform is effective in examining the dynamics of EEG strictly, but it is not suitable for practical use because the analysis (parameter identification) takes a long time. Therefore, the purpose of this study is to test the proposed model-based analysis method for general application as a neurotechnology. The mathematical model used in neuroscience was improved for practical use, and the test was conducted with the cooperation of four subjects. model parameters were experimentally identified approximately every one second by using least square method. We solved a binary classification problem of model parameters using Support Vector Machine. Results show that our proposed model-based EEG analysis is able to discriminate concentration states in various tasks with an accuracy of over 80%.

scholarly journals Mathematical model and analysis method for flowfield separation and transition

2021 ◽  
Vol 33 (4) ◽  
pp. 044116
Author(s):  
Peng Yue ◽  
Jingping Xiao ◽  
Ke Xu ◽  
Ming Li ◽  
Feng Jiang ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Analysis Method

ESTABLISHING OF THE SPATIAL DISTRIBUTION OF DISPOSABLE GROUNDWATER RESOURCES BY MULTI-CRITERIA ANALYSIS METHOD

2018 ◽  
Vol 471 ◽  
pp. 137-146
Author(s):  
Andrzej RODZOCH ◽  
Dominik MIAZ ◽  
Grzegorz JELENIEWICZ
Keyword(s):  
Mathematical Model ◽  
Spatial Distribution ◽  
Model Simulation ◽  
Groundwater Resources ◽  
Analysis Method ◽  
Control Data ◽  
Output Control ◽  
Input And Output ◽  
Management Area

A hydrogeologist often faces a serious difficulty in estimation of available groundwater resources. In contrast to renewable water resources, which are valuable for a study area and estimated with greater or lower precision depending on the quality of available data, disposable groundwater resources cannot be treated as a natural and relatively constant characteristic of the management area, because their size and spatial distribution depend on criteria assumed to set an optimal way for managing water supplies. Since those criteria can be defined in various ways and their significance can vary as well, spatial distribution of groundwater resources and their size can theoretically have infinite number of equally correct solutions. They can be only treated as optimal for a strictly specified set of criteria and therefore can be modified according to different needs and assumed priorities. Interpreted this way, they can only be calculated by the use of model simulation, because only a mathematical model is an effective tool for making such multi-criteria analyses. The paper presents an approach for setting criteria that limit the input and output control data, applied by HYDREKO in the process of spatial distribution of disposable groundwater resources. An example of use of this method is presented for the management area P-XVIII Dolna Warta (Rodzoch et al., 2017).

Mathematical Model of Three-Phase Boost Converter

2012 ◽  
Vol 507 ◽  
pp. 96-100
Author(s):  
Zhong Zhang ◽  
Wei Ming Tong
Keyword(s):  
Mathematical Model ◽  
Nonlinear Control ◽  
Control Strategy ◽  
Boost Converter ◽  
Analysis Method ◽  
Topology Structure ◽  
Conservation Of Energy ◽  
Three Phase ◽  
Converter Topology ◽  
The Mathematical Model

Now the nonlinear control strategy used by a lot of power electronic converters is not dependent on the mathematical model of the system. They are only based on the error of control variables to control the output voltage or other variables, and this leads to the shortcomings of poor control and not easy to optimize. The fundamental reason is that they are not based on the mathematical model of converter topology structure. This paper presents a new way to build mathematical model. The paper established the unified mathematical model of the three-phase Boost converter topology structure by studied the three-phase Boost converter topology structure deeply and based on the law of conservation of energy and combined with small-signal modeling analysis method, and done the systematic analysis for it. The analysis method is also applicable to other converter topology, such as the buck, buck-boost, etc., and the model not only can be used in the controller design, can also provide a theoretical basis for the applications of a new nonlinear control strategy.

Research on the Simulation of the Charge Mathematical Model of the Vehicle Starting Battery

2013 ◽  
Vol 680 ◽  
pp. 479-483
Author(s):  
Pei Ying Li ◽  
Yu Tian Pan
Keyword(s):  
Mathematical Model ◽  
Battery Life ◽  
Model Parameters ◽  
Analysis Method ◽  
Lead Acid Battery ◽  
Battery Charge ◽  
Charge Model ◽  
Simulation Results ◽  
The Mathematical Model ◽  
Lead Acid

In order to meet the demands of practical, convenient and quick charge requirements, a mathematical model of a certain type of vehicle starting lead-acid battery is established. Using the method of circuit analysis, the model parameters are identified by the known test data. In addition, battery charge model is simulated in each charge stage using the intelligent three-stage charge method, simulation waveform and test waveform fit very well, absolute errors between them reach to 10-6. Simulation results show that the mathematical model and its analysis method is proper for the charge characteristics of vehicle starting lead-acid battery. This has a good guidance to design intelligent charger and extend the battery life.

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