Structural Analysis and Optimal Design of Girders of a Special Astronomical Doom

Static analysis and optimal design are applied into the designing process of a special astronomical doom. Using the software Solidworks Cosmos2004, original design is statically analyzed. According to the shortcoming, the mathematical model is constituted and the optimal design is given. The results of optimal design meet the design demand of the astronomical doom. The optimal design shows that there has been a great decline in the number of steel and the price of the doom. It is practical to put the optical design into the designing process of the mechanical products.

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

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.572.551 ◽

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 ◽

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

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.649.295 ◽

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.

Volume 3: Dynamic Systems and Controls, Symposium on Design and Analysis of Advanced Structures, and Tribology ◽

Calibration of the Tight Seal of the Discharge Mechanism Doors on a Rail Wagon Using Adjustable Members

10.1115/esda2006-95102 ◽

2006 ◽

Author(s):

Jesus A. Mendoza ◽

Luis L. Otero

Keyword(s):

Mathematical Model ◽

Angular Position ◽

Maximum Error ◽

Original Design ◽

Influence Coefficients ◽

Primary Element ◽

Closed Position ◽

Mechanical Linkage ◽

The Mathematical Model ◽

The Doors

Among other types of wagons, CVG Ferrominera Orinoco (FMO) uses 350 hopper type wagons for ore transportation. Each of these wagons has a mechanical linkage system, made up of nine mobile elements plus a frame to open and close two rotary doors located at the bottom of the wagons. This paper presents development of a mathematical model to find out how the calibrating lengths of the operating mechanism’s four adjustable members allow variations of the angular position of the doors from its fully closed position. The mathematical model is obtained from the total differentials of the kinematics constraints equations and is used to find the relative influence coefficients of each adjustable member on the kinematic accuracy of the doors motion. The results show that the maximum error depends mainly upon the correct positioning of the primary element. It is also proved that two of the adjustable members in the original design do not play an important role in the tight closing.

Mathematical Modelling of Thin-Walled Cold-Rolled Cross-Section

10.4028/www.scientific.net/amm.617.171 ◽

2014 ◽

Vol 617 ◽

pp. 171-174 ◽

Cited By ~ 6

Author(s):

Jakub Flodr ◽

Martin Krejsa ◽

David Mikolášek ◽

Oldrich Sucharda ◽

Libor Žídek

Keyword(s):

Mathematical Model ◽

Static Analysis ◽

Cross Section ◽

Wind Engineering ◽

Thin Wall ◽

Software Applications ◽

Extreme Loads ◽

Load Carrying ◽

Cold Rolled ◽

The purpose of the paper is to perform a static analysis of a thin-wall cold-rolled steel cross-section of a trapezoidal sheet by means of a mathematical model developed in ANSYS, commercially available software applications. The trapezoidal sheets are used typically as an external cladding which covers the structures of steel halls. Investigating into behaviour of the trapezoidal sheets subjected to extreme loads represents an urgent issue in wind engineering. A physical tension test has been performed in order to verify and confirm the mathematical model. Experiments have been performed to prove results of the static analysis into the behaviour of a load-carrying structure formed by a thin-wall cross-section.

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

Journal of Web Engineering ◽

10.13052/jwe1540-9589.2046 ◽

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 ◽

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

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.875-877.1042 ◽

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.

New Method for Static Analysis of Frame Structures Considered Floor Deformation

10.4028/www.scientific.net/amm.501-504.518 ◽

2014 ◽

Vol 501-504 ◽

pp. 518-522

Author(s):

Hua Zhang ◽

Li Huang

Keyword(s):

Mathematical Model ◽

Numerical Solution ◽

State Space ◽

Static Analysis ◽

Frame Structure ◽

Frame Structures ◽

Internal Forces ◽

State Method ◽

The Mathematical Model ◽

Computation Work

The piecewise continuum technique was used for the frame structure and a series-parallel system was taken for the mathematical model for the structure in which the deformation of floor slab had to be considered, and its state space equations were derived. Then the numerical solution of deformations and internal forces were obtained by using of state method. It is shown that the method of this paper has the advantages of less computation work and high precision.

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

10.4028/www.scientific.net/amm.252.149 ◽

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.

Static Analysis of Tensegrity Structures

Journal of Mechanical Design ◽

10.1115/1.1804194 ◽

2005 ◽

Vol 127 (2) ◽

pp. 257-268 ◽

Cited By ~ 19

Author(s):

Carl D. Crane ◽

Joseph Duffy ◽

Julio C. Correa

Keyword(s):

Mathematical Model ◽

Static Analysis ◽

Virtual Work ◽

Numerical Results ◽

Equilibrium Equations ◽

Arbitrary Length ◽

Verification Method ◽

Tensegrity Structure ◽

The Mathematical Model ◽

External Loads

Two problems are addressed in this paper. First, the mathematical model to perform the static analysis of an antiprism tensegrity structure subjected to a wide variety of external loads is presented. The virtual work approach is used to deduce the equilibrium equations and a method based on Newton’s Third Law is used to verify the numerical results. Two numerical examples are provided to demonstrate the use of the mathematical model, as well as the verification method. The second problem deals with the development of a mathematical model to perform the static analysis of a prestressed antiprism tensegrity structure subjected to an arbitrary length reduction of its connecting ties. Again, a virtual work approach is used to deduce the equilibrium equations and the numerical results are verified using a Newtonian approach. One example is provided to illustrate the mathematical model.

Single Spur Gear Reducer Optimization Design Mathematical Modeling

10.4028/www.scientific.net/amm.273.198 ◽

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 ◽

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.