The Multi-Objective Optimization Design of Leaf Spring of few Piece Variable Cross-Section

2011 ◽  
Vol 213 ◽  
pp. 231-235
Author(s):  
Qin Man Fan ◽  
Qin Man Fan
Keyword(s):  
Cross Section ◽  
Optimization Design ◽  
Optimal Solution ◽  
Variable Cross Section ◽  
Leaf Spring ◽  
Variable Cross ◽  
Multi Objective Optimization ◽  
Solution Quality ◽  
Front Suspension ◽  
Multi Objective

Being the ability of global optimization, MOPSO algorithm have some virtue such as high calculate velocity, good solution quality, great robustness, and so on. In allusion to a leaf spring of few piece variable cross-section, its multi-objective optimization mathematical model was built regarding minimum mass and minimum stiffness deviation as sub-objective functions. Taking the leaf spring of front suspension of a light truck as an example, the Pareto optimal solution set of optimization problem was obtained by using MOPSO algorithm. The optimization results show that the mass of the leaf spring reduced by 24.2% and the stiffness deviation is only 0.32% after optimization by using MOPSO algorithm.

Research on the 3D Modeling Method of Epicycloids’ Bevel Gear Based on Pro/E

2011 ◽  
Vol 120 ◽  
pp. 15-19
Author(s):  
Chun Xiang Wang ◽  
Fan Juan Meng ◽  
Jing Qiang Zhang
Keyword(s):  
Cross Section ◽  
Optimization Design ◽  
Gear Tooth ◽  
Axial Direction ◽  
Variable Cross Section ◽  
Modeling Method ◽  
Bevel Gear ◽  
Solid Model ◽  
Variable Cross ◽  
3D Solid

In order to obtain 3D solid model of an Oerlikon system’s prolate epicycloidal bevel gear by full generating processing, the solid modeling method for the gear was studied in Pro/E. First, Drawing benchmark circles (base on the circle and reference circle as well as tip circle and root circle)and involute tooth profile of virtual equivalent gears of both large end and small end of the real gear, and then an intercepted segment of prolate epicycloid which has the same trend to the tooth and is controlled by prolate epicycloidal equations is projected to the surface of the gear’s root cone for the sake of getting tooth curve along axial direction. In the end, along the tooth curve and on the root cone conducting a variable cross section solid scanning to tooth shaped cross section, a complete gear tooth will be gained and at last model establishing will be finished. This method provided digital basis for optimization design, reverse design and rapid prototyping of this kind of gear, and so its design efficiency is improved.

Multi-Objective Optimization Design of Steel Frames Based on Multiple Attribute Decision-Making Method

2013 ◽  
Vol 368-370 ◽  
pp. 830-837
Author(s):  
Mao Qiao Cui ◽  
Hai Yan Huang ◽  
Fu Lai Wang ◽  
Yong Qiu
Keyword(s):  
Decision Making ◽  
Optimization Design ◽  
Intuitionistic Fuzzy Set ◽  
Optimal Solution ◽  
Multiple Attribute Decision Making ◽  
Optimization Strategy ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
Multiple Attribute ◽  
High Level

This paper describes in detail a multi-objective optimization strategy and decision-making method in the process of steel frame optimization design. A step-by-step analysis process integrating optimization algorithm and model analysis is proposed to solve the present problem. A multi-objective algorithm method using fast Non-dominated Sorting Genetic Algorithm is employed to obtain the Pareto-optimal solution set through an evolutionary optimization process. A high-level multiple attribute decision-making method based on intuitionistic fuzzy set theory is adopted to rank these solutions from the best to worst, and to determine the best solution. An example is used to demonstrate the proposed optimization model and decision-making method.

A Closeness Degree Method for Multi-Objective Optimization of Belt Transmission

1992 ◽  
Author(s):  
Lin Qun ◽  
Wu Meijuan
Keyword(s):  
Mathematical Model ◽  
Objective Function ◽  
Optimization Design ◽  
Optimal Solution ◽  
Multi Objective Optimization ◽  
Multi Objective ◽  
Objective Function Values ◽  
Belt Transmission ◽  
Fuzzy Subsets ◽  
The Ideal

Abstract A mathematical model for multi objective optimization design of belt transmission is proposed in this paper. The normal fuzzy distribution is used to convert the ideal and non-inferior solutions into fuzzy subsets over the space of objective function values. The optimal solution which is closest to the ideal one could then be found on the basis of closeness degree method.

Study on Multi-Objective Optimization Design of Planetary Gear Reducer

2011 ◽  
Vol 199-200 ◽  
pp. 1180-1184
Author(s):  
Han Zhang ◽  
Xiao Qin Shen ◽  
Fu Sheng Yu ◽  
Jian Hua Liu
Keyword(s):  
Optimization Model ◽  
Optimization Design ◽  
Optimal Solution ◽  
Planetary Gear ◽  
Minimum Volume ◽  
Discrete Variables ◽  
Multi Objective Optimization ◽  
Contact Ratio ◽  
Multi Objective ◽  
Maximum Contact

Various elements in planetary gear reducer design are discussed. A multi-objective optimization model is created. The model requires the minimum volume and the maximum contact ratio. The method of multiplication and division is used to solve the multi-objective problem, and the method of feasibility enumeration is used to handle the discrete variables. The results show that the optimal solution meets the actual requirements.

Vibration Characteristics and Optimization of Variable Cross-Section Cylindrical Shell Structure under Multi-Point Excitation

2013 ◽  
Vol 372 ◽  
pp. 547-551
Author(s):  
Lin Chen ◽  
Xiao Zhong Xie ◽  
Zhuo Li ◽  
Fu Zhen Pang
Keyword(s):  
Cylindrical Shell ◽  
Cross Section ◽  
Shell Structure ◽  
Optimization Design ◽  
Acoustic Radiation ◽  
Variable Cross Section ◽  
Low Noise ◽  
Structural Vibration ◽  
Variable Cross ◽  
Transfer Path

According to the loading feature and the structure form, a gear reducer box can be simplified to a variable cross-section cylindrical shell structure excited by multipoint force. Meanwhile, a theoretical model is developed to analyze the structural vibration and acoustic characteristics and to find out the dominant component of vibration. Then, the influence of different parameters, such as, the local structure thickness, constrained damping layer and the insulation layer on acoustic radiation performance of the variable cross-section cylindrical shell structure are investigated by numerical calculation. Finally, an optimization design scheme of a low-noise structure is proposed because of the two aspects about noise source and noise transfer path.

Design of the PRO/MECHANICA to Variable Cross-Section of Micro-Mechanical Cantilever Based on the Finite Element Method

2012 ◽  
Vol 184-185 ◽  
pp. 146-150
Author(s):  
Chun Li Wei ◽  
Wei Zhang ◽  
Hui Wei
Keyword(s):  
Sensitivity Analysis ◽  
Cantilever Beam ◽  
Cross Section ◽  
Optimization Design ◽  
Variable Cross Section ◽  
Variable Cross ◽  
The Finite Element Method ◽  
Analysis Model ◽  
Modeling Analysis ◽  
Body Design

Abstract: In order to achieve the design of micro-machined micro- mechanical cantilever beam of variable cross-section through the PRO / MECHANICA micro-mechanical variable cross-section cantilever beam to mathematical modeling , analysis model , a standard static analysis , the primary design model , the local sensitivity analysis, global sensitivity analysis and optimization design aspects . By the analysis of research data , this body design is feasible and adaptable stress distribution characteristics of a good , good appearance of the structure .

Multi-Objective Optimization of a Large-Span Wing Analog Beam with Variable Cross-Sections

2012 ◽  
Vol 215-216 ◽  
pp. 735-740
Author(s):  
Kui Li ◽  
Yuan Ying Qiu ◽  
Ying Sheng
Keyword(s):  
Curve Fitting ◽  
Optimization Design ◽  
Von Mises Stress ◽  
Deformation Condition ◽  
Displacement Curve ◽  
Variable Cross ◽  
Multi Objective Optimization ◽  
Element Analysis ◽  
Large Span ◽  
Multi Objective

Aiming at the difficulty with structure and parameter design for a wing analog beam under a large deformation condition, a large-span cantilever truss model with Pro/e is designed. Then a mathematical model of the wing beam based on the Multi-objective Genetic Algorithm is proposed. Thereby the sizing optimization and shape optimization for the wing analog beam are conducted with the finite element analysis and meanwhile two main objectives minimizing the maximum von Mises stress and the mean-square error of the deformation displacement curve fitting are satisfied. A Pareto optimal solution aggregate is obtained after the optimization. Finally an optimal structure is concluded via the multi-objective optimization design, which improves the curve fitting accuracy of the wing and satisfies the stress strength requirement as well.

Reliability-Based Optimization Design of Variable Cross-Section Component

2012 ◽  
Vol 446-449 ◽  
pp. 1099-1102
Author(s):  
Tian Xiao Zhang ◽  
Xin Hui Liu
Keyword(s):  
Cross Section ◽  
Optimization Design ◽  
Random Variable ◽  
Variable Cross Section ◽  
Engineering Practice ◽  
Variable Cross ◽  
Reliability Design ◽  
Basic Random Variable ◽  
Reliability Based Optimization ◽  
Variable Probability

Abstract: Variable cross-section components are widely used in engineering practice. It is clear that reliability-based optimization design of variable cross-section component is important for engineering design. This variable section widget for reliability and the perturbation design, we propose a perturbation method of the reliability design about the variable cross-section components. We may rapidly obtain the variable cross-section component's reliability information accurately, in basic random variable probability characteristic certain situation. We propose a method with practicality for the relevant reliability design.

scholarly journals Multi-objective optimization design of spur gear based on NSGA-II and decision making

2019 ◽  
Vol 11 (3) ◽  
pp. 168781401882493 ◽  
Author(s):  
Qizhi Yao
Keyword(s):  
Decision Maker ◽  
Optimization Design ◽  
Optimal Solution ◽  
Spur Gear ◽  
Optimal Solutions ◽  
Multi Objective Optimization ◽  
Nsga Ii ◽  
Multi Objective ◽  
Deviation Index ◽  
Decision Variables

Optimization design of spur gear is a complicated work because the performance characteristics depend on different types of decision variables and objectives. Traditional single-objective optimization design of the spur gear always results in poor outcomes relative to other objectives due to objectives’ competition with each other. Therefore, this study works on the spur gear design based on the multi-objective optimization model of elitist non-dominated sorting genetic algorithm (NSGA-II). In the model, gear module, teeth number, and transmission ratio are decision variables, while center distance, bearing capacity coefficient, and meshing efficiency are objectives. Final optimal solutions are picked out from Pareto frontier calculated from NSGA-II using the decision makers of Shannon Entropy, linear programming technique for multidimensional analysis of preference (LINMAP), and technique of order preference by similarity to an ideal solution (TOPSIS). Meanwhile, a deviation index is used to evaluate the reasonable status of the optimal solutions. From triple-objective and dual-objective optimization results, it is found that the optimal solution selected from LINMAP decision maker shows a relatively small deviation index. It indicates that LINMAP decision maker may yield better optimal solution. This study could provide some beneficial information for spur design.

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