The Effect of Different Optimization Methods on Robustness for Robust Optimization Design

2014 ◽  
Vol 721 ◽  
pp. 464-467
Author(s):  
Tao Fu ◽  
Qin Zhong Gong ◽  
Da Zhen Wang
Keyword(s):  
Robust Optimization ◽  
Objective Function ◽  
Robust Design ◽  
Optimization Design ◽  
Optimization Methods ◽  
Optimization Method ◽  
Design Parameters ◽  
Hybrid Particle Swarm Optimization ◽  
Design Variables ◽  
Robust Optimization Design

In view of robustness of objective function and constraints in robust design, the method of maximum variation analysis is adopted to improve the robust design. In this method, firstly, we analyses the effect of uncertain factors in design variables and design parameters on the objective function and constraints, then calculate maximum variations of objective function and constraints. A two-level optimum mathematical model is constructed by adding the maximum variations to the original constraints. Different solving methods are used to solve the model to study the influence to robustness. As a demonstration, we apply our robust optimization method to an engineering example, the design of a machine tool spindle. The results show that, compared with other methods, this method of HPSO(hybrid particle swarm optimization) algorithm is superior on solving efficiency and solving results, and the constraint robustness and the objective robustness completely satisfy the requirement, revealing that excellent solving method can improve robustness.

scholarly journals Robust optimization design of structures based on the specular reflection algorithm

2019 ◽  
Vol 11 (3) ◽  
pp. 168781401983413
Author(s):  
Qisong Qi ◽  
Qing Dong ◽  
Yunsheng Xin
Keyword(s):  
Robust Design ◽  
Structural Design ◽  
Optimization Design ◽  
Design Method ◽  
Specular Reflection ◽  
Design Parameters ◽  
Theoretical Design ◽  
Recent Advancement ◽  
Robust Optimization Design ◽  
Robust Design Method

The nominal values of structural design parameters are usually calculated using a traditional deterministic optimization design method. However, owing to the failure of this type of method to consider potential variations in design parameters, the theoretical design results can be far from reality. To address this problem, the specular reflection algorithm, a recent advancement in intelligence optimization, is used in conjunction with a robust design method based on sensitivity. This method not only is able to fully consider the influence of parameter uncertainty on the design results but also has strong applicability. The effectiveness of the proposed method is verified by numerical examples, and the results show that the robust design method can significantly improve the reliability of the structure.

scholarly journals Improved Immune Genetic Algorithm to Optimize the Design of Wing Structure of Competition Aircraft

2021 ◽  
Vol 2137 (1) ◽  
pp. 012075
Author(s):  
Xi Feng ◽  
Yafeng Zhang
Keyword(s):  
Genetic Algorithm ◽  
Aircraft Design ◽  
Flight Test ◽  
Optimization Methods ◽  
Optimization Method ◽  
Design Parameters ◽  
Immune Genetic Algorithm ◽  
Maximum Deformation ◽  
Design Variables ◽  
Wing Structure

Abstract An improved immune genetic algorithm is used to design and optimize the wing structure parameters of a competition aircraft. According to the requirements of aircraft design, multi-objective optimization index is established. On this basis, the basic steps of using immune algorithm to optimize the main design parameters of aircraft wing structure are proposed, and the optimization of the wing parameters of a competition aircraft is used as an example for simulation calculation. The design variables in the optimization are the size of the wing components, and the optimization goal is to minimize the weight of the wing and the maximum deformation of the wing structure. Research shows that compared with traditional optimization methods; the improved immune genetic algorithm is a very effective optimization method. At the same time, a prototype is made to check the validity and feasibility of the design. Flight test results show that the optimization method is very effective. Although the method is proposed for competition aircraft, it is also applicable to other types of aircraft.

Multidisciplinary Robust Optimization Design of Multi-Functional Open-Air Hydraulic Drill

2010 ◽  
Vol 44-47 ◽  
pp. 1135-1140 ◽  
Author(s):  
You Xin Luo ◽  
Hui Jun Wen ◽  
Heng Shu Li
Keyword(s):  
Robust Optimization ◽  
Uncertainty Analysis ◽  
Design Optimization ◽  
Robust Design ◽  
Multidisciplinary Design Optimization ◽  
Design Theory ◽  
Optimization Design ◽  
Optimal Solution ◽  
Multidisciplinary Design ◽  
Robust Optimization Design

In this paper, the basic concepts and methods of multidisciplinary design optimization, uncertainty analysis and robust design have been introduced. According to the features of a multi-functional open-air hydraulic drill, a new design theory called multidisciplinary robust optimization design was discussed. This theory can undertake uncertainty analysis and robust design in multidisciplinary design optimization. It fully considers both the synergy among each disciplinary or subsystem in the multi-functional open-air hydraulic drill to get the optimal solution to the whole system and the effect of the uncertainty factors upon the drill quality, and adopts the parallel design to improve the quality, robustness and reliability of the drill, to shorten the market cycles of products, to reduce product cost. Finally, the design points were discussed in detail in the paper.

Robust Optimization Design of Compensative Pulley Block of Luffing Mechanism Using the Compromise Decision Support Problem

2008 ◽  
Vol 44-46 ◽  
pp. 463-470 ◽  
Author(s):  
Xian Fu Cheng
Keyword(s):  
Decision Support ◽  
Mathematical Programming ◽  
Robust Optimization ◽  
Robust Design ◽  
Optimization Design ◽  
Mathematic Model ◽  
Programming Formulation ◽  
Robust Optimization Design ◽  
The Mean

Robust optimization design essentially has multiple objectives. The compromise Decision Support Problem (DSP) is a multi-objective mathematical programming formulation that is used to model engineering decisions involving multiple tradeoffs. In this paper, the compromise DSP is introduced to robust optimization design, and mathematic model of a compromise DSP for robust optimization design is presented. In this framework, the tradeoff between the mean and deviation of performance is made by solving the bi-objective robust design problem. To demonstrate the feasibility of this approach, a case study involving the design of the compensative pulley block of luffing mechanism is considered.

Study of Parameters Optimization on Seismic Isolated Railway Bridges

2011 ◽  
Vol 50-51 ◽  
pp. 135-139
Author(s):  
Tie Yi Zhong ◽  
Chao Yi Xia ◽  
Feng Li Yang
Keyword(s):  
Optimal Design ◽  
Optimization Design ◽  
Seismic Isolation ◽  
Optimization Method ◽  
Relative Displacement ◽  
Parameters Optimization ◽  
Design Parameters ◽  
Isolation System ◽  
Railway Bridges ◽  
Design Variables

Based on optimization theories, considering soil-structure interaction and running safety, the optimal design model of the seismic isolation system with lead-rubber bearings (LRB) for a simply supported railway beam bridge is established by using the first order optimization method in ANSYS, which the parameters of the isolation bearing are taken as design variables and the maximum moments at the bottom of bridge piers are taken as objective functions. The optimal calculations are carried out under the excitation of three practical earthquake waves respectively. The research results show that the ratio of the stiffness after yielding to the stiffness before yielding has important effect on the structural seismic responses. Through the optimal analysis of isolated bridge system, the optimal design parameters of isolation bearing can be determined properly, and the seismic forces can be reduced maximally as meeting with the limits of relative displacement between pier top and beam, which provides efficient paths and beneficial references for dynamic optimization design of seismic isolated bridges.

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.

Robust Optimization Design for Spring

2012 ◽  
Vol 190-191 ◽  
pp. 1376-1379
Author(s):  
Gang Chen ◽  
Yu Fei Ma
Keyword(s):  
Mathematical Model ◽  
Robust Optimization ◽  
Objective Function ◽  
Optimization Design ◽  
Structure Design ◽  
Structure Parameters ◽  
Stiffness Coefficient ◽  
Spring Stiffness ◽  
Optimum Structure ◽  
Robust Optimization Design

In here, a robust optimization mathematical model of the spring is presented. To minimize the error and maximal variations of spring stiffness coefficient related with structure parameters and its tolerances is chosen as its objective function, and the acceptable region is formed by some constraints. The theory is applied to the structure design of the closeing spring of spring actuator, the closeing characteristics are all satisfied at the optimum structure parameters, and the optimization results are discussed.

A New Approach to Solving Reliability Optimization Design of Gear Box

2011 ◽  
Vol 295-297 ◽  
pp. 1326-1329
Author(s):  
Wen Hui Mo
Keyword(s):  
Objective Function ◽  
Material Properties ◽  
Optimization Design ◽  
Random Variables ◽  
Design Parameters ◽  
Reliability Optimization ◽  
New Approach ◽  
Reliability Calculation ◽  
Design Variables ◽  
Gear Box

Reliability optimization design of the gear box is proposed. It includes an objective function, 30 design variables and 52 constraints. It is important to note that material properties, geometry parameters and applied loads of the structure are assumed to be normal random variables. Reliability calculation adopts the HL-RF method. The comparison of design parameters demonstrates the proposed method.

Reliability-Based Robust Optimization Design for Lattice Tower Structure

2011 ◽  
Vol 201-203 ◽  
pp. 1312-1316
Author(s):  
Xin Jiang ◽  
Hui Jian Li ◽  
Bai Feng Gao ◽  
Xi Liang
Keyword(s):  
Robust Optimization ◽  
Robust Design ◽  
Optimization Design ◽  
Design Method ◽  
Design Model ◽  
Reliability Sensitivity ◽  
Tower Structure ◽  
Robust Optimization Design ◽  
Lattice Tower ◽  
Reliability Based Optimization

Reliability Analysis is applied into tower structural design and influence of uncertain factors is considered into the design. The reliability robust optimization mathematical model of tower structure is established by combining the reliability optimization designing theory with the robust design method and injecting reliability sensitivity into the design model. The reliability sensitivity is added to the reliability-based optimization design model and the stiffness reliability-based robust design is reduced to a multi-objection optimization. Take the lattice tower structure for example, after designing, it shows not only lighter weigh, saving in material, simplifying construction, but also improving its safety and stability. The example proves the method to be effective.

Multi-Objective Robust Design of Loader Transmission Based on Genetic Algorithm

2013 ◽  
Vol 325-326 ◽  
pp. 223-227
Author(s):  
Jian Bin Wang ◽  
Ji Shu Yin
Keyword(s):  
Genetic Algorithm ◽  
Robust Optimization ◽  
Robust Design ◽  
Optimization Design ◽  
High Efficiency ◽  
Design Method ◽  
Fuzzy Theory ◽  
Fuzzy Optimization ◽  
Optimal Method ◽  
Robust Optimization Design

The fuzzy theory and robust design is applied to the optimization design of the loader transmission, and put forward the fuzzy optimization design method of loader Transmission based on the robust idea. It is established the fuzzy robust optimization design model of loader transmission which has the goal of small size and high efficiency, and finally shows the optimal method and calculation example.

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