Optimal design and mathematical model applied to establish bioassay programs

2006 ◽  
Vol 123 (4) ◽  
pp. 457-463 ◽  
Author(s):  
G. Sánchez ◽  
J. M. Rodríguez-Díaz
Keyword(s):  
Mathematical Model ◽  
Optimal Design

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.

Optimal Design of a Six-Bar Linkage for an Anthropomorphic Three-Jointed Finger Mechanism

1992 ◽  
Author(s):  
Jichuan Zhang ◽  
Gongliang Guo ◽  
William A. Gruver
Keyword(s):  
Mathematical Model ◽  
Nonlinear Programming ◽  
Optimal Design ◽  
Transmission Efficiency ◽  
Degree Of Freedom ◽  
Optimal Parameters ◽  
Joint Friction ◽  
Robotic Devices ◽  
End Effectors ◽  
Human Finger

Abstract We treat the design of a three-jointed, anthropomorphic, finger mechanism for prostheses and robotic end-effectors. Based on the study of configurations for the human finger, we propose a six-bar linkage with one degree of freedom for the finger mechanism. A model of the fingertip displacement of the mechanism is derived by a vector analysis approach. We study the effects of joint friction on the transmission efficiency. By measuring the joint positions of a human finger, we develop a mathematical model of the pinching and holding configurations for the human finger. Optimal parameters for the finger mechanism are obtained by nonlinear programming based on motion posture, locus, transmission efficiency, and weight subject to geometric and bionic constraints. Simulations indicate that the mechanism is useful in a variety of prosthetic and robotic devices.

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.

A THEORY AND A MODEL FOR PATTERN GENERATION IN PLANTS

1993 ◽  
Vol 01 (02) ◽  
pp. 159-186 ◽  
Author(s):  
ROGER V. JEAN
Keyword(s):  
Mathematical Model ◽  
Pattern Recognition ◽  
Optimal Design ◽  
Pattern Generation ◽  
Growth Functions ◽  
Systemic Theory ◽  
Functional Aspects ◽  
Special Cases ◽  
L Systems ◽  
By Products

This article introduces a systemic theory of phyllotaxis (study of primordial patterns on plants) and updates a mathematical model which is central in the theory. The theory deals with the descriptive and the functional aspects of phyllotaxis, and studies the origins of patterns as well. The article concentrates on the formal aspects of the model and on its explanatory values. The model possesses biological foundations which will not be recalled here. It supposes a principle of optimal design and the representation of phyllotactic patterns with control hierarchies. These hierarchies can be generated with irreducible matrices and L-systems. In the hierarchies, parameters can be identified representing important characteristics of growth that is complexity, stability and rhythm. A formula linking those parameters allows us to calculate the numerical cost of each one of the phyllotactic patterns and to order the costs. The various types of patterns come out, including whorled patterns which are seen as special cases of spiral patterns. The model proposes predictions which can be compared to observations. It predicts the existence of improbable patterns which have been later identified and it possesses explanatory values which have been interestingly put to contribution in difficult problems of pattern recognition in botany. It also possesses mathematical by-products in the theory of growth functions of L-systems, thus related to Perron-Frobenius spectral theory.

scholarly journals Estimation of ergonomic indicators of special purpose clothing for patients with thermal injuries

2021 ◽  
pp. 80-85
Author(s):  
G. S. Shaizadanova ◽  
K. Zh. Kucharbaeva ◽  
N. S. Mokeeva ◽  
L. B. Loginova ◽  
K. K. Abilkalamova
Keyword(s):  
Mathematical Model ◽  
Optimal Design ◽  
Human Body ◽  
Factorial Experiment ◽  
Full Factorial Experiment ◽  
Ic 10 ◽  
Thermal Injuries ◽  
Full Factorial ◽  
Contact Pressures

This article discusses the determination of the optimal design allowances for a full factorial experiment in the development of special-purpose clothing for patients with thermal injuries in a hospital. To assess the ergonomic performance of special-purpose clothing, was used of pressure exerted by clothing on the human body. Based on the results of the study, a mathematical model was developed based on a full factorial experiment. In accordance with the presented mathematical models, the minimum values of contact pressures are obtained for the following values of construction parameters: for a cut with a sewn-in sleeve Warmhole = 15 cm, Ifa = 5,0 cm, Ic = 9 cm, Hse = 10 cm; for a cut with a raglan sleeve Warmhole = 15 cm, Ifa = 6 cm, Ic = 10 cm; for a cut with a one-piece sleeve Warmhole = 16 cm, Ifa = 6 cm, Ic = 11 cm.

Thermal Model of Disk Coil With Directed Oil Flow

2008 ◽  
Author(s):  
Shahram Khalil Aria ◽  
Sahar Samsami
Keyword(s):  
Mathematical Model ◽  
Optimal Design ◽  
Temperature Rise ◽  
Thermal Model ◽  
Hot Spot ◽  
Exact Location ◽  
Oil Flow ◽  
Transformer Winding ◽  
Spot Temperature

In this paper, a developed mathematical model for temperature rise calculation is briefly described. In this model, at first, load loss of a transformer winding with forced directed oil is calculated and the winding temperature rise along the horizontal ducts and vertical ducts is computed. Then hot spot temperature and its exact location is determined. The model can also be used for optimal design of winding in size and cooling. Finally the results are given and compared with experiment values.

Optimal Design of Mainshaft Bearing for Wind Turbine

2010 ◽  
Vol 171-172 ◽  
pp. 252-255 ◽  
Author(s):  
Qing Zhou ◽  
Xin Tao Xia ◽  
Ya Ping Zhang
Keyword(s):  
Mathematical Model ◽  
Optimal Design ◽  
Constrained Optimization ◽  
Wind Turbine ◽  
Working Conditions ◽  
Wind Turbines ◽  
Dynamic Load ◽  
Optimization Method ◽  
Matlab Toolbox ◽  
Bearing Life

Working conditions, characteristics, and development about the mainshaft bearing for wind turbines are investigated and mathematical model based on the rated dynamic load is proposed in this paper. With the help of the nonlinearly minimum function, viz., fmincon, in MATLAB toolbox, the constrained optimization method for the main parameters of the bearing is studied in order to improve the bearing life.

Structure Optimal Design of Pneumatic 6-DOF Parallel Robot Based on Natural Frequency

2010 ◽  
Vol 450 ◽  
pp. 349-352 ◽  
Author(s):  
Bo Wu ◽  
Li Xu ◽  
Xiao Dong Yu ◽  
Zhi Wei Wang ◽  
He Xu
Keyword(s):  
Mathematical Model ◽  
Optimal Design ◽  
Natural Frequency ◽  
Dynamic Equation ◽  
Structural Design ◽  
Optimization Design ◽  
Structural Parameters ◽  
Parallel Robot ◽  
Optimization Rule ◽  
Design Aspect

. In order to improve the dynamic response rapidity and positioning precision for pneumatic 6-DOF parallel robot from the structural design aspect, a mathematical model of natural frequency for the parallel robot is developed based on dynamic equation by using vibration theory. The influences of structural parameters on minimal natural frequency are analyzed by simulation and an optimization rule of structural parameters based on minimal natural frequency is proposed. The optimization rule has advantages of simplification and efficiency, which provides a new theoretical gist for optimization of structural parameters as well as for checking the results of the actual natural frequency for pneumatic 6-DOF parallel robot. And this new rule is also valuable for structural optimization design of other similar parallel robot.

Sign in / Sign up

Export Citation Format

Share Document