Geometrical Description of Two-Dimensional Optimization Design Model

2012 ◽  
Vol 472-475 ◽  
pp. 831-834
Author(s):  
Hai Wen Li ◽  
Li Hong Dong
Keyword(s):  
Optimization Design ◽  
Optimization Problem ◽  
Design Model ◽  
Curved Surface ◽  
Two Dimensional ◽  
Constraint Function ◽  
Geometrical Description ◽  
Design Variables ◽  
The Given ◽  
Dimensional Optimization

The optimization problem of objective function that has two design variables can be converted into the minimum value problem of the objective function’s curved surface within the range of constraint function in the 3D coordinate system. By using the powerful data visualization capabilities of MATLAB, draw out the curved surface of objective and constraint functions in 3D coordinates system and make geometrical description of the two-dimensional optimization design model. Through the given examples of optimization design, it can be seen that to solve the optimization design problem through this method is efficient, easy and convenient.

scholarly journals An Innovative Optimization Design Procedure for Mechatronic Systems with a Multi-Criteria Formulation

2021 ◽  
Vol 11 (19) ◽  
pp. 8900
Author(s):  
Cuauhtémoc Morales-Cruz ◽  
Marco Ceccarelli ◽  
Edgar Alfredo Portilla-Flores
Keyword(s):  
Optimization Design ◽  
Optimization Problem ◽  
Heuristic Algorithms ◽  
Design Procedure ◽  
Concurrent Design ◽  
Mechatronic Systems ◽  
Design Variables ◽  
One Step ◽  
Task Oriented ◽  
And Task

This paper presents an innovative Mechatronic Concurrent Design procedure to address multidisciplinary issues in Mechatronics systems that can concurrently include traditional and new aspects. This approach considers multiple criteria and design variables such as mechanical aspects, control issues, and task-oriented features to formulate a concurrent design optimization problem that is solved using but not limited to heuristic algorithms. Furthermore, as an innovation, this procedure address all considered aspects in one step instead of multiple sequential stages. Finally, this work discusses an example referring to Mechatronic Design to show the procedure performed and the results show its capability.

Aerodynamic optimization to tandem stators by using sweep and dihedral

2020 ◽  
Vol 234 (6) ◽  
pp. 1225-1236
Author(s):  
Jinouwen Zhang ◽  
Haowan Zhuang ◽  
Jinfang Teng ◽  
Mingmin Zhu ◽  
Xiaoqing Qiang
Keyword(s):  
Gaussian Process ◽  
Surrogate Model ◽  
Aerodynamic Performance ◽  
High Dimensional ◽  
Two Dimensional ◽  
Multi Objective Optimization ◽  
Optimization Scheme ◽  
Multi Objective ◽  
Design Variables ◽  
Dimensional Optimization

In the modern aerodynamic design of turbomachinery blades, the geometries of blades often need to be reshaped to achieve better aerodynamic performance by introducing extra parametric design variables. A higher variable dimension will lead to a larger sampling range as well as a sparser sample distribution, which challenges the effectiveness and stability of optimization schemes based on surrogate model by making the model prediction quality even poorer. In this paper, a multi-objective optimization based on Gaussian process model was carried out for a high dimensional design space. Based on the previous two-dimensional optimization, tandem stators of a modern compressor were optimized by the design of sweep and dihedral. The purpose of the study is to improve the aerodynamic performance of the compressor tandem stators as well as to provide an effective optimization scheme for high dimensional multi-objective optimization problems. The design of sweep and dihedral for reshaping the tandem stators consists of a total of 18 design variables. An improvement in total pressure recovery coefficient of at least 0.7% at positive incidence and at least 0.3% at negative incidence was obtained, much larger than that in the previous two-dimensional optimization. The optimization process shows that, by using Gaussian process as the surrogate model and a special sampling strategy, this optimization scheme is effective and efficient to handle this high dimensional space. The aerodynamic influences of design parameters of tandem blades were analyzed in detail and the superiority of sweep and dihedral in reducing aerodynamic loss was confirmed.

Shape Optimization Design of Brackets Connecting Girders of an Internal Bulkhead and Pressure Hull Under External Pressure

2017 ◽  
Author(s):  
Chengtao Jiang ◽  
Yuansheng Cheng ◽  
Wei Xiao ◽  
Qijian He ◽  
Shangdi Gao
Keyword(s):  
Shape Optimization ◽  
Optimization Design ◽  
Optimization Problem ◽  
Maximum Stress ◽  
High Stress ◽  
External Pressure ◽  
Coarse Mesh ◽  
Optimal Shapes ◽  
Design Variables ◽  
Hull Structure

In order to decrease the local high stress in the brackets which connect to the horizontal and vertical girders of an internal bulkhead and submersible pressure shell, the mathematical models for the shape optimization of the brackets are proposed. In the study, stress analysis of the pressure hull structure including an internal bulkhead and brackets with coarse mesh is firstly conducted, then the submodeling technique is further employed to analyze the refinement stress distribution of the brackets with refined mesh. The boundary shapes of the brackets are assumed as the design variables while the maximum stress of the bracket is treated as objective function to be minimized in the shape optimization problem. The proposed mathematical model is solved by using analysis code Hyperworks/Optistruct and optimal shapes of the brackets are obtained. Results of the shape optimization show that the optimized bracket types can effectively reduce the level of stress. Therefore, the proposed method can be referred to similar structure designs.

A note on the upper bound for the optimal work size

2004 ◽  
Vol 41 (01) ◽  
pp. 277-280
Author(s):  
Ji Hwan Cha
Keyword(s):  
Upper Bound ◽  
Optimization Problem ◽  
Replacement Policy ◽  
Two Dimensional ◽  
Age Replacement ◽  
Work Size ◽  
Dimensional Optimization

Mi (2002) recently considered a two-dimensional optimization problem for the optimal age-replacement policy and the optimal work size. In order to find (y ∗,T ∗), Mi (2002) found the optimal age-replacement policy T ∗(y) for each fixed work size y, and then searched for the optimal work size y ∗. When applying this approach, for each fixed work size y, Mi (2002) obtained the bounds for T ∗(y). However, no bound for the optimal work size y ∗ was derived. In this note, the results on the upper bound for the optimal work size y ∗ are given.

Topology Optimization Design of the Cantilever Pedestal on a Stiffened Cylindrical Hull

2020 ◽  
Author(s):  
Siming Yuan ◽  
Yue Wang ◽  
Yuansheng Cheng ◽  
Pan Zhang ◽  
Jun Liu
Keyword(s):  
Topology Optimization ◽  
Optimization Design ◽  
Research Work ◽  
Design Variables ◽  
New Type ◽  
Original Scheme ◽  
Final Optimization ◽  
Main Components ◽  
The Mathematical Model ◽  
The Given

Abstract The impedance value of the pedestal on a stiffened cylindrical hull directly reflects its resistance to the transmission of vibration waves. In this study, the topology optimization is used to obtain the pedestal with improved impedance and reduced weight. Taking a cuboid with the given dimensions as the research object, the mathematical model of topology optimization is established, in which the element densities is taken as the design variables. According to the optimization results, a new type of cantilever pedestal is obtained. On this basis, the position, size and shape of the main components of the new pedestal are further optimized. Then, the strength and vibration characteristics are calculated and compared. The final optimization results show that the optimized cantilever pedestal with three brackets and a closure plate can effectively improve the minimum impedance of the base. And the thickness of the middle bracket should be much larger than that of the two sides and the closure plate. Compared with the original scheme, the minimum impedance of the optimized pedestal increases by 8.67% while the weight of the structure decreases by 25.69%. The research work provides a good reference for the design of the pedestal.

Buckling Optimization of Perforated Curved Shells

2011 ◽  
Vol 697-698 ◽  
pp. 614-617
Author(s):  
D. Wang ◽  
W.H. Zhang ◽  
Ji Hong Zhu ◽  
J.G. Yang ◽  
M.M. Zhang
Keyword(s):  
Structural Stability ◽  
Optimization Design ◽  
Boundary Curve ◽  
Mapping Method ◽  
Curved Surface ◽  
Shape Design ◽  
Design Variables ◽  
Buckling Optimization ◽  
Reference Domain ◽  
Hole Boundary

Shape optimization design is carried out in the paper aiming at the feature of openings on curved shells to enhance the structural stability and reduce the stress concentration. In order to make sure that the hole boundary curve are always located on the prescribed curved shell, the parametrical mapping method is employed to describe the hole boundary on the curved shells with shape design variables defined in the intrinsic reference domain. Then, different optimization models are established and the specific sensitivity is calculated for buckling optimization. Finally, it concludes from numerical examples that the structural stability and the intensity benefit together for a curved surface with a large curvature, and they are contradictory for a curved surface with a small curvature.

Two-Dimensional Structural Topology Optimization Based on Isogeometric Analysis

2014 ◽  
Vol 472 ◽  
pp. 475-479 ◽  
Author(s):  
Guang Yu Qiu ◽  
Ping Hu ◽  
Wei Zhou
Keyword(s):  
Topology Optimization ◽  
Isogeometric Analysis ◽  
Optimization Problem ◽  
Structural Topology Optimization ◽  
Two Dimensional ◽  
Structural Topology ◽  
Element Analysis ◽  
Design Variables ◽  
Element Density ◽  
Moving Asymptotes

In this paper, the isogeometric analysis is applied to two-dimensional structural topology optimization instead of traditional finite element analysis. By treating the corresponding element density of knot spans as design variables, the topology optimization model is formulated based on SIMP method. Then the optimization problem is solved using the method of moving asymptotes. As demonstrated by examples, the proposed method can be used for two-dimensional topology optimization. And the results show that checkerboard patterns can be controlled.

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.

scholarly journals Two-dimensional optimization problem of plant location

2001 ◽  
Vol 23 (3) ◽  
pp. 149-158
Author(s):  
Tran Gia Linh ◽  
Phan Ngoc Vinh
Keyword(s):  
Numerical Experiments ◽  
Optimization Problem ◽  
Adjoint Problem ◽  
Plant Location ◽  
Propagation Problem ◽  
Pollution Level ◽  
Two Dimensional ◽  
Typical Problem ◽  
Dimensional Optimization

In this paper, the following matters are presented: the adjoint problem of the two-dimensional matter propagation problem; the algorithm for determination of a domain in which a plant can be located so that the values of the pollution-level reflecting functional does not exceed a given value at considered sensitive areas; application of this algorithm for numerical experiments to a typical problem.

A note on the upper bound for the optimal work size

2004 ◽  
Vol 41 (1) ◽  
pp. 277-280 ◽  
Author(s):  
Ji Hwan Cha
Keyword(s):  
Upper Bound ◽  
Optimization Problem ◽  
Replacement Policy ◽  
Two Dimensional ◽  
Age Replacement ◽  
Work Size ◽  
Dimensional Optimization

Mi (2002) recently considered a two-dimensional optimization problem for the optimal age-replacement policy and the optimal work size. In order to find (y∗,T∗), Mi (2002) found the optimal age-replacement policy T∗(y) for each fixed work size y, and then searched for the optimal work size y∗. When applying this approach, for each fixed work size y, Mi (2002) obtained the bounds for T∗(y). However, no bound for the optimal work size y∗ was derived. In this note, the results on the upper bound for the optimal work size y∗ are given.

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