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.

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.

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.

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.

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.

Single Spur Gear Reducer Optimization Design Mathematical Modeling

2013 ◽  
Vol 273 ◽  
pp. 198-202
Author(s):  
Yu Xia Wang
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Optimal Design ◽  
Objective Function ◽  
Optimization Design ◽  
Spur Gear ◽  
Design Parameters ◽  
Constraint Function ◽  
Design Variables ◽  
The Mathematical Model

In a given power P, number of teeth than u, input speed and other technical conditions and requirements, find out a set of used a economic and technical indexes reach the optimal design parameters, realize the optimization design of the reducer, This paper determined unipolar standard spur gear reducer design optimization of the design variables, and then determine the objective function, determining constraint function, so as to establish the mathematical model.

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.

scholarly journals On the thermal instability of supercavitating liquid jet surrounded by coaxial rotary gas

2021 ◽  
Vol 37 ◽  
pp. 551-565
Author(s):  
Ming Lü ◽  
Zhi Ning
Keyword(s):  
Mathematical Model ◽  
Temperature Gradient ◽  
Thermal Instability ◽  
Dominant Frequency ◽  
Liquid Jet ◽  
Liquid Temperature ◽  
Jet Instability ◽  
Jet Stability ◽  
Effects Of Temperature ◽  
The Mathematical Model

Abstract Based on the jet stability theory, under the conditions of gas rotation, fluid compressibility and supercavitation, this paper gives the mathematical model describing the thermal instability of supercavitating liquid jet surrounded by a coaxial rotary gas, and the corresponding numerical method for solving the mathematical model is proposed and verified by the data in reference. Then, this paper analyzes the effects of gas–liquid temperature differences and temperature gradients on jet instability, and studies the thermal stability of supercavitating jet. The results show that the maximum disturbance growth rate, the dominant frequency and the maximum disturbance wave numbers increase linearly with the increase of gas–liquid temperature differences. The existence of temperature gradient inside the jet makes the effects of temperature differences on jet instability more obvious. The temperature gradient will inhibit the effect of supercavitation on jet instability, while gas–liquid temperature difference will promote the effect of supercavitation on jet instability.

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