Single loop single vector approach using the conjugate gradient in reliability based design optimization

Jeong, Seong-Beom; Park, Gyung-Jin

doi:10.1007/s00158-016-1580-5

Cited by 53 publications

(7 citation statements)

References 25 publications

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“…The schematic diagram of speed reducer is demonstrated in Figure S3. A nonlinear RBDO example (Jeong and Park 2017) is given in equation ( 8). This example has two independent random design variables (x 1 and x 2 ) with normal distribution x l ∼ N (µ x , 0.3 2 ), l = 1, 2, and three performance functions (G 1 (X), G 2 (X) and G 3 (X)).…”

Section: Speed Reducer Examplementioning

confidence: 99%

An approximate single-loop chaos control method for reliability based design optimization using conjugate gradient search directions

Biswas

Sharma

2021

Engineering Optimization

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Section: Speed Reducer Examplementioning

confidence: 99%

An approximate single-loop chaos control method for reliability based design optimization using conjugate gradient search directions

Biswas

Sharma

2021

Engineering Optimization

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“…RBD methodologies [30][31][32][33][34] that involve optimization are usually performed for system design and design of key elements whose reliability is required. Optimization is a commonly used tool MD-20-1572 Du for system and component design.…”

Section: Introductionmentioning

confidence: 99%

A Safety Factor Method for Reliability-Based Component Design

Yin

2021

Journal of Mechanical Design

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Reliability-based design (RBD) identifies design variables that maintain reliability at a required level. For many routine component design jobs, RBD may not be practical as it requires nonlinear optimization and specific reliability methods, especially for those design jobs which are performed manually or with a spreadsheet. This work develops a practical approach to reliability-based component design so that the reliability target can be achieved by conducting traditional component design repeatedly using a deterministic safety factor. The new component design is based on the First Order Reliability Method, which iteratively assigns the safety factor during the design process until the reliability requirement is satisfied. In addition to several iterations of deterministic component design, the other additional work is the calculation of the derivatives of the design margin with respect to the random input variables. The proposed method can be used for a wide range of component design applications. For example, if a deterministic component design is performed manually or with a spreadsheet, so is the reliability-based component design. Three examples are used to demonstrate the practicality of the new design method.

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“…However, to deal with the probabilistic random variables, among these methods, the SLDM is identified as one of the most effective algorithms due to, the good potential balance between computational cost and accuracy of the optimal solutions [Shan and Wang (2008)]. The development of SLDM for single objective optimization has been conducted by many researchers as shown in references [Jalalpour et al (2013); Jeong and Park (2017); Li et al (2013); Liang et al (2007); Lim and Lee (2016); Mansour and Olsson (2016); Zhang (2016)]. However, the extension of the SLDM for multi-objective optimization is still very limited, especially, for truss structures.…”

Section: Introductionmentioning

confidence: 99%

An Effective Couple Method for Reliability-Based Multi-Objective Optimization of Truss Structures with Static and Dynamic Constraints

Vo-Duy

Duong-Gia

Ho-Huu

et al. 2019

Int. J. Comput. Methods

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This paper proposes an effective couple method for solving reliability-based multi-objective optimization problems of truss structures with static and dynamic constraints. The proposed coupling method integrates a single-loop deterministic method (SLDM) into the nondominated sorting genetic algorithm II (NSGA-II) algorithm to give the so-called SLDM-NSGA-II. Thanks to the advantage of SLDM, the probabilistic constraints are treated as approximating deterministic constraints. And therefore the reliability-based multi-objective optimization problems can be transformed into the deterministic multi-objective optimization problems of which the computational cost is reduced significantly. In these reliability-based multi-objective optimization problems, the conflicting objective functions are to minimize the weight and the displacements of the truss. The design variables are cross-section areas of the bars and contraints include static and dynamic constraints. For reliability analysis, the effect of uncertainty of parameters such as force, added mass in the nodes, material properties and cross-section areas of the bars are taken into account. The effectiveness and reliability of the proposed method are demonstrated through three benchmark-type truss structures including a 10-bar planar truss, a 72-bar spatial truss and a 200-bar planar truss. Moreover, the influence of parameters on the reliability-based Pareto optimal fronts is also carried out.

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Single loop single vector approach using the conjugate gradient in reliability based design optimization

Cited by 53 publications

References 25 publications

An approximate single-loop chaos control method for reliability based design optimization using conjugate gradient search directions

An approximate single-loop chaos control method for reliability based design optimization using conjugate gradient search directions

A Safety Factor Method for Reliability-Based Component Design

An Effective Couple Method for Reliability-Based Multi-Objective Optimization of Truss Structures with Static and Dynamic Constraints

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