Gradient vs. approximation design optimization techniques in low-dimensional convex problems

2013 ◽  
Author(s):  
Filip Fedorik
2019 ◽  
Vol 27 (2) ◽  
pp. 517-548 ◽  
Author(s):  
R. Venkata Rao ◽  
Ankit Saroj ◽  
Pawel Ocloń ◽  
Jan Taler

2010 ◽  
Vol 38 (11) ◽  
pp. 1049-1059
Author(s):  
Chang-Joo Kim ◽  
Soo-Hyung Park ◽  
Seon-Gu O ◽  
Seung-Ho Kim ◽  
Gi-Hun Jeong ◽  
...  

Author(s):  
Charanraj Thimmisetty ◽  
Panagiotis Tsilifis ◽  
Roger Ghanem

AbstractA new method is proposed for efficient optimization under uncertainty that addresses the curse of dimensionality as it pertains to the evaluation of probabilistic objectives and constraints. A basis adaptation strategy previously introduced by the authors is integrated into a design optimization framework that construes the optimization cost function as the quantity of interest and computes stochastic adapted bases as functions of design space parameters. With these adapted bases, the stochastic integrations at each design point are evaluated as low-dimensional integrals (mostly one dimensional). The proposed approach is demonstrated on a well-placement problem where the uncertainty is in the form of a stochastic process describing the permeability of the subsurface. An analysis of the method is carried out to better understand the effect of design parameters on the smoothness of the adaptation isometry.


Aerospace ◽  
2003 ◽  
Author(s):  
Phuriwat Anusonti-Inthra ◽  
Farhan Gandhi ◽  
Mary Frecker

In the present study, a design methodology is developed for determining the optimal distribution of a limited amount of piezoelectric material and optimal skin for a conformable rotor airfoil section. The objective of the design optimization is to generate a conformable airfoil structure that produces significant trailing edge deflection under actuation loads, but minimal airfoil deflection under aerodynamic loads. Energy functions, Mutual Potential Energy (MPE) and Strain Energy (SE), are used as measures of the deflections created by the actuation and aerodynamic loads, respectively. The design objective is achieved by maximizing a multi-criteria objective function that represents a ratio of the MPE to SE. Several design optimization techniques are evaluated including geometry and concurrent geometry-topology optimizations. The results of the study indicate that the optimized conformable airfoil section obtained using the concurrent geometry-topology optimization can produce a significant downward trailing edge deflection, and the airfoil deformation due to the aerodynamic loads alone is small. However, the optimized airfoil design is extremely complex and contains intricate network of actuators, which may be difficult to fabricate. Systematic simplification of the structure is performed to obtain a conformable airfoil design that is simple and may be easy to build. Further parametric optimization is used to find optimal values of the skin axial and bending stiffness for an optimal conformable airfoil design. The airfoil can produce a downward trailing edge deflection equivalent to 3.7° of Effective Flap Angle from the actuation loads, with the peak-to-peak deflection being nearly twice the downward deflection, and the airfoil deformation due to the airload loads is less than 1°. The optimal skin should have less axial stiffness and much more bending stiffness as compared to a conventional skin.


2020 ◽  
Vol 142 (10) ◽  
Author(s):  
Hyeon-Seok Shim ◽  
Kwang-Yong Kim

Abstract Multi-objective design optimization was applied to the impeller and volute of a centrifugal pump using surrogate-based optimization techniques and three-dimensional Reynolds-averaged Navier–Stokes (RANS) analysis. The objective functions used to improve the hydraulic performance and operating stability of the pump were the hydraulic efficiency at the design condition and the flow rate at which the maximum volute pressure recovery coefficient occurs. Three design variables were selected based on the results of a sensitivity analysis: the blade outlet angle, the constants in determining the impeller outlet width, and the cross-sectional area of the volute. Using response surface approximation (RSA), surrogate models were constructed for the objective functions based on numerical results at experimental points obtained by Latin hypercube sampling (LHS). The representative Pareto-optimal solutions obtained by the multi-objective genetic algorithm (MOGA) show enhanced objective function values compared to the baseline design. The results of unsteady calculation show that the flow instability of the centrifugal pump was successfully suppressed by the optimization.


Author(s):  
Ali Farhang-Mehr ◽  
Shapour Azarm

In this paper, an entropy-based metric is presented for quality assessment of non-dominated solution sets obtained from a multiobjective optimization technique. This metric quantifies the ‘goodness’ of a solution set in terms of its distribution quality over the Pareto-optimal frontier. Therefore, it can be useful in comparison studies of different multi-objective optimization techniques, such as Multi-Objective Genetic Algorithms (MOGAs), wherein the capabilities of such techniques to produce and maintain diversity among different solution points are desired to be compared on a quantitative basis. An engineering test example, the multiobjective design optimization of a speed-reducer, is presented in order to demonstrate an application of the proposed entropy metric.


Author(s):  
Jeong-Min Jin ◽  
Hyo-Geun Ji ◽  
Youn-Jea Kim

Abstract Recently, many studies carried out to improve the performance of the pump with shape changes. In this paper, impeller optimization is performed to improve the pump performance. Design optimization techniques for the sludge pump impellers have been developed by using computational fluid dynamics (CFD) and optimal design theory. This paper describes the design optimization of a sludge pump impeller based on Response Surface Method (RSM) coupled with Navier-Stokes flow analysis. In particular, RSM which was based on the results of the design of experiment (DOE) helps to achieve the optimum point. In order to optimize the shape of the impeller, the thickness and the height of the blade were set as design factors. As a result, it was confirmed that the efficiency and the head were improved by 11.2% and 6.67%, respectively, compared to the referenced model.


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