Multi-objective optimization design of passive suspension parameters based on collusion cooperation game theory

2010 ◽  
Author(s):  
Bao Jia Han ◽  
Xie Neng Gang ◽  
Cen Yu Wan ◽  
Wang Lu ◽  
Song Chong Zhi
Keyword(s):  
Game Theory ◽  
Optimization Design ◽  
Multi Objective Optimization ◽  
Passive Suspension ◽  
Multi Objective ◽  
Suspension Parameters

Multi-objective optimization of quarter car passive suspension design in the frequency domain based on PSO

2016 ◽  
Vol 33 (5) ◽  
pp. 1422-1434 ◽  
Author(s):  
Herbert Martins Gomes
Keyword(s):  
Frequency Domain ◽  
Optimization Design ◽  
Heuristic Algorithms ◽  
Computational Effort ◽  
Multi Objective Optimization ◽  
Content Type ◽  
Passive Suspension ◽  
Multi Objective ◽  
Suspension Parameters ◽  
Quarter Car

Purpose – The purpose of this paper is to investigate the optimum design of a quarter car passive suspension system using a particle swarm optimization algorithm in order to minimize the applied loads and vibrations. Design/methodology/approach – The road excitation is assumed as zero-mean random field and modeled by single-sided power spectral density (PSD) based on international standard ISO 8608. The variance of sprung mass displacements and variance of dynamic applied load are evaluated by PSD functions and used as cost function for the optimization. Findings – The advantages in using this methodology are emphasized by an example of the multi-objective optimization design of suspension parameters and the results are compared with values reported in the literature and other gradient based and heuristic algorithms. The paper shows that the algorithm effectively leads to reliable results for suspension parameters with low computational effort. Research limitations/implications – The procedure is applied to a quarter car passive suspension design. Practical implications – The proposed procedure implies substantial time savings due to frequency domain analysis. Social implications – The paper proposes a procedure that allows complex optimization designs to be feasible and cost effective. Originality/value – The design optimization is performed in the frequency domain taking into account standard defined road profiles PSD without the need to simulate in the time domain.

Multi-Objective Optimization Design of the Helical Gear Transmission Based on Coalition Cooperative Game Theory

2010 ◽  
Vol 44-47 ◽  
pp. 1525-1532 ◽  
Author(s):  
Rui Meng ◽  
Neng Gang Xie ◽  
Xiao Jing Han
Keyword(s):  
Game Theory ◽  
Cooperative Game ◽  
Optimization Design ◽  
Cooperative Game Theory ◽  
Helical Gear ◽  
Objective Functions ◽  
Multi Objective Optimization ◽  
Strategy Space ◽  
Multi Objective ◽  
Design Variables

Considering helical gear transmission's economic performance and drive reliability, construct multi-objective optimization model of the helical gear transmission with taking normal module, teeth number of small helical gear, helix angle and the gear width coefficient as design variables and taking the volume of small and large helical gear and opposite number of overlap ratio as objective functions. Propose multi-objective optimization design method based on coalition cooperative game theory where the two design goals are seen as two game players. By calculating the impact factor of design variables to objective functions and fuzzy clustering, the design variables are divided into strategy space of game players. Each game player takes its own revenue function as target and does single objective optimization in its own strategy space in order to get its own best strategy. The best strategies of all players form a combination of one round game and the optimal solution can be obtained through several game rounds. Example results show the effectiveness of game method.

Optimization Design of Finger Seal Performances Based on Game Theory

2010 ◽  
Vol 156-157 ◽  
pp. 1275-1280
Author(s):  
Yan Chao Zhang ◽  
Guo Ding Chen
Keyword(s):  
Mathematical Model ◽  
Game Theory ◽  
Nash Equilibrium ◽  
Optimization Design ◽  
Optimization Method ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
Equilibrium Method ◽  
Wear Ratio ◽  
Payoff Functions

To reach the expecting goal of lower leakage ratio and longer operation life(lower wear ratio) for finger seal, great efforts have been made continuously to obtain good structure of finger seal with advanced optimization design technology. A cooperation Nash equilibrium mathematical model of multi-objective optimization for finger seal is presented in current work based on Nash equilibrium of game theory. In this solution, the reciprocal of leakage ratio and the wear ratio value for finger seal are thought as the payoff functions and the game is solved by genetic algorithm. The numerical simulation in the paper shows that the finger seal with better performances can be achieved by using Nash equilibrium method. This means Nash equilibrium method can be used as a new multi-objective optimization method for finger seal performances optimization.

scholarly journals Research on Blank Optimization Design Based on Low-Carbon and Low-Cost Blank Process Route Optimization Model

2021 ◽  
Vol 13 (4) ◽  
pp. 1929
Author(s):  
Yongmao Xiao ◽  
Wei Yan ◽  
Ruping Wang ◽  
Zhigang Jiang ◽  
Ying Liu
Keyword(s):  
Optimization Model ◽  
Optimization Design ◽  
Design Method ◽  
Low Cost ◽  
Route Optimization ◽  
Low Carbon ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
Blank Design ◽  
Process Route

The optimization of blank design is the key to the implementation of a green innovation strategy. The process of blank design determines more than 80% of resource consumption and environmental emissions during the blank processing. Unfortunately, the traditional blank design method based on function and quality is not suitable for today’s sustainable development concept. In order to solve this problem, a research method of blank design optimization based on a low-carbon and low-cost process route optimization is proposed. Aiming at the processing characteristics of complex box type blank parts, the concept of the workstep element is proposed to represent the characteristics of machining parts, a low-carbon and low-cost multi-objective optimization model is established, and relevant constraints are set up. In addition, an intelligent generation algorithm of a working step chain is proposed, and combined with a particle swarm optimization algorithm to solve the optimization model. Finally, the feasibility and practicability of the method are verified by taking the processing of the blank of an emulsion box as an example. The data comparison shows that the comprehensive performance of the low-carbon and low-cost multi-objective optimization is the best, which meets the requirements of low-carbon processing, low-cost, and sustainable production.

Multi-objective optimization of squirrel cage fan for range hood based on Kriging model

2021 ◽  
pp. 095440622199586
Author(s):  
Qianhao Xiao ◽  
Jun Wang ◽  
Boyan Jiang ◽  
Weigang Yang ◽  
Xiaopei Yang
Keyword(s):  
Flow Rate ◽  
Optimization Design ◽  
Volume Flow Rate ◽  
Kriging Model ◽  
Volume Flow ◽  
Design Parameters ◽  
Multi Objective Optimization ◽  
Nsga Ii ◽  
Multi Objective ◽  
Squirrel Cage

In view of the multi-objective optimization design of the squirrel cage fan for the range hood, a blade parameterization method based on the quadratic non-uniform B-spline (NUBS) determined by four control points was proposed to control the outlet angle, chord length and maximum camber of the blade. Morris-Mitchell criteria were used to obtain the optimal Latin hypercube sample based on the evolutionary operation, and different subsets of sample numbers were created to study the influence of sample numbers on the multi-objective optimization results. The Kriging model, which can accurately reflect the response relationship between design variables and optimization objectives, was established. The second-generation Non-dominated Sorting Genetic algorithm (NSGA-II) was used to optimize the volume flow rate at the best efficiency point (BEP) and the maximum volume flow rate point (MVP). The results show that the design parameters corresponding to the optimization results under different sample numbers are not the same, and the fluctuation range of the optimal design parameters is related to the influence of the design parameters on the optimization objectives. Compared with the prototype, the optimized impeller increases the radial velocity of the impeller outlet, reduces the flow loss in the volute, and increases the diffusion capacity, which improves the volume flow rate, and efficiency of the range hood system under multiple working conditions.

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