Efficient Optimization Design Method Using Kriging Model

An effective optimization method using Kriging model and parametric sampling evaluation strategy is proposed to solve dynamic optimization design. The optimization problem is to find the design variables such that the structural weight is minimum and dynamic displacement of the points concerned plus certain side constraints are satisfied. The types of design variables are considered as the sizing variables of the beams and columns. Kriging model is used to build the approximate mapping relationship between the forced vibration amplitude and design variables, reducing expensive dynamic reanalysis. A dynamic analysis program is used as black-box to obtain dynamic response. Numerical examples show that the method has good accuracy and efficiency. Versatility of this method can be expected to play an important role in future engineering optimization problems.

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

Sustainability ◽

10.3390/su13041929 ◽

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.

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A robust metamodel-based optimization design method for improving pedestrian wind comfort in an infill development project

Sustainable Cities and Society ◽

10.1016/j.scs.2021.103018 ◽

2021 ◽

pp. 103018

Author(s):

Yihan Wu ◽

Qingming Zhan ◽

Steven Jige Quan

Keyword(s):

Optimization Design ◽

Design Method ◽

Development Project ◽

Infill Development ◽

Wind Comfort

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A Two-Round Optimization Design Method for Aerostatic Spindles Considering the Fluid–Structure Interaction Effect

Applied Sciences ◽

10.3390/app11073017 ◽

2021 ◽

Vol 11 (7) ◽

pp. 3017

Author(s):

Qiang Gao ◽

Siyu Gao ◽

Lihua Lu ◽

Min Zhu ◽

Feihu Zhang

Keyword(s):

Optimal Design ◽

Optimization Design ◽

Design Method ◽

Fluid Structure Interaction ◽

Design Procedure ◽

Design Parameters ◽

Geometrical Parameters ◽

Fluid Structure ◽

Structure Interaction ◽

Aerostatic Spindle

The fluid–structure interaction (FSI) effect has a significant impact on the static and dynamic performance of aerostatic spindles, which should be fully considered when developing a new product. To enhance the overall performance of aerostatic spindles, a two-round optimization design method for aerostatic spindles considering the FSI effect is proposed in this article. An aerostatic spindle is optimized to elaborate the design procedure of the proposed method. In the first-round design, the geometrical parameters of the aerostatic bearing were optimized to improve its stiffness. Then, the key structural dimension of the aerostatic spindle is optimized in the second-round design to improve the natural frequency of the spindle. Finally, optimal design parameters are acquired and experimentally verified. This research guides the optimal design of aerostatic spindles considering the FSI effect.

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

Proceedings of the Institution of Mechanical Engineers Part C Journal of Mechanical Engineering Science ◽

10.1177/0954406221995863 ◽

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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Optimization Research on Dynamic Balance of Spatial Engine under Limiting Shaking Moment

Materials Science Forum ◽

10.4028/www.scientific.net/msf.626-627.693 ◽

2009 ◽

Vol 626-627 ◽

pp. 693-698

Author(s):

Yong Yong Zhu ◽

S.Y. Gao

Keyword(s):

Mathematical Model ◽

Objective Function ◽

Kinetic Analysis ◽

Optimization Design ◽

Design Method ◽

Dynamic Balance ◽

Optimized Design ◽

Design Variables ◽

The Mathematical Model ◽

Shaking Moment

Dynamic balance of the spatial engine is researched. By considering the special wobble-plate engine as the model of spatial RRSSC linkages, design variables on the engine structure are confirmed based on the configuration characters and kinetic analysis of wobble-plate engine. In order to control the vibration of the engine frame and to decrease noise caused by the spatial engine, objective function is choosed as the dimensionless combinations of the various shaking forces and moments, the restriction condition of which presents limiting the percent of shaking moment. Then the optimization design is investigated by the mathematical model for dynamic balance. By use of the optimization design method to a type of wobble-plate engine, the optimization process as an example is demonstrated, it shows that the optimized design method benefits to control vibration and noise on the engines and improve the performance practically and theoretically.

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Optimization Design of Drawbead in Drawing Tools of Autobody Cover Panel

Journal of Engineering Materials and Technology ◽

10.1115/1.1448523 ◽

2002 ◽

Vol 124 (2) ◽

pp. 278-285 ◽

Cited By ~ 12

Author(s):

Gang Liu ◽

Zhongqin Lin ◽

Youxia Bao

Keyword(s):

Optimization Algorithm ◽

Optimization Design ◽

Design Method ◽

Experimental Results ◽

Hybrid Optimization ◽

Force Model ◽

Hybrid Optimization Algorithm ◽

Design Plan ◽

Formed Part ◽

Restraining Force

In the tooling design of autobody cover panels, design of drawbead will affect the distribution of drawing restraining force along mouth of dies and the relative flowing velocity of the blank, and consequently, will affect the distributions of strain and thickness in a formed part. Therefore, reasonable design of drawbead is the key point of cover panels’ forming quality. An optimization design method of drawbead, using one improved hybrid optimization algorithm combined with FEM software, is proposed in this paper. First, we used this method to design the distribution of drawbead restraining force along the mouth of a die, then the actual type and geometrical parameters of drawbead could be obtained according to an improved drawbead restraining force model and the improved hybrid optimization algorithm. This optimization method of drawbead was used in designing drawing tools of an actual autobody cover panel, and an optimized drawbead design plan has been obtained, by which deformation redundancy was increased from 0% under uniform drawbead control to 10%. Plastic strain of all area of formed part was larger than 2% and the minimum flange width was larger than 10 mm. Therefore, not only better formability and high dent resistance were obtained, but also fine cutting contour line and high assembly quality could be obtained. An actual drawing part has been formed using the optimized drawbead, and the experimental results were compared with the simulating results in order to verify the validity of the optimized design plan. Good agreement of thickness on critical areas between experimental results and simulation results proves that the optimization design method of drawbead could be successfully applied in designing actual tools of autobody cover panels.

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