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Analytical approach to robust design of nonlinear mechanical systems

Jian ZHANG, Nengsheng BAO, Guojun ZHANG, Peihua GU

《机械工程前沿(英文)》 2009年 第4卷 第2期   页码 203-214 doi: 10.1007/s11465-009-0022-0

摘要: The robustness of mechanical systems is influenced by various factors. Their effects must be understood for designing robust systems. This paper proposes a model for describing the relationships among functional requirements, structural characteristics, design parameters and uncontrollable variables of nonlinear systems. With this model, the sensitivity of systems was analyzed to formulate a system sensitivity index and robust sensitivity matrix to determine the importance of the factors in relation to the robustness of systems. Based on the robust design principle, an optimization model was developed. Combining this optimization model and the Taguchi method for robust design, an analysis was carried out to reveal the characteristics of the systems. For a nonlinear mechanical system, relationships among structural characteristics of the system, design parameters, and uncontrollable variables can be formulated as a mathematical function. The characteristics of the system determine how design parameters affect the functional requirements of the system. Consequently, they affect the distribution of system performance functions. Nonlinearity of the system can facilitate the selection of design parameters to achieve the required functional requirements.

关键词: robust     design     nonlinear    

Reliability-based robust design optimization of vehicle components, Part I: Theory

Yimin ZHANG

《机械工程前沿(英文)》 2015年 第10卷 第2期   页码 138-144 doi: 10.1007/s11465-015-0333-2

摘要:

The reliability-based design optimization, the reliability sensitivity analysis and robust design method are employed to present a practical and effective approach for reliability-based robust design optimization of vehicle components. A procedure for reliability-based robust design optimization of vehicle components is proposed. Application of the method is illustrated by reliability-based robust design optimization of axle and spring. Numerical results have shown that the proposed method can be trusted to perform reliability-based robust design optimization of vehicle components.

关键词: vehicle components     reliability-based design optimization     reliability-based sensitivity analysis     multi-objective optimization     robust design    

Reliability-based robust design optimization of vehicle components, Part II: Case studies

Yimin ZHANG

《机械工程前沿(英文)》 2015年 第10卷 第2期   页码 145-153 doi: 10.1007/s11465-015-0334-1

摘要:

The reliability-based optimization, the reliability-based sensitivity analysis and robust design method are employed to propose an effective approach for reliability-based robust design optimization of vehicle components in Part I. Applications of the method are further discussed for reliability-based robust optimization of vehicle components in this paper. Examples of axles,torsion bar, coil and composite springs are illustrated for numerical investigations. Results have shown the proposed method is an efficient method for reliability-based robust design optimization of vehicle components.

关键词: vehicle axles and springs     reliability-based design optimization     reliability-based sensitivity analysis     multi-objective optimization     robust design    

Shape design of arch dams under load uncertainties with robust optimization

Fengjie TAN, Tom LAHMER

《结构与土木工程前沿(英文)》 2019年 第13卷 第4期   页码 852-862 doi: 10.1007/s11709-019-0522-x

摘要: Due to an increased need in hydro-electricity, water storage, and flood protection, it is assumed that a series of new dams will be build throughout the world. The focus of this paper is on the non-probabilistic-based design of new arch-type dams by applying means of robust design optimization (RDO). This type of optimization takes into account uncertainties in the loads and in the material properties of the structure. As classical procedures of probabilistic-based optimization under uncertainties, such as RDO and reliability-based design optimization (RBDO), are in general computationally expensive and rely on estimates of the system’s response variance, we will not follow a full-probabilistic approach but work with predefined confidence levels. This leads to a bi-level optimization program where the volume of the dam is optimized under the worst combination of the uncertain parameters. As a result, robust and reliable designs are obtained and the result is independent from any assumptions on stochastic properties of the random variables in the model. The optimization of an arch-type dam is realized here by a robust optimization method under load uncertainty, where hydraulic and thermal loads are considered. The load uncertainty is modeled as an ellipsoidal expression. Comparing with any traditional deterministic optimization method, which only concerns the minimum objective value and offers a solution candidate close to limit-states, the RDO method provides a robust solution against uncertainty. To reduce the computational cost, a ranking strategy and an approximation model are further involved to do a preliminary screening. By this means, the robust design can generate an improved arch dam structure that ensures both safety and serviceability during its lifetime.

关键词: arch dam     shape optimization     robust optimization     load uncertainty     approximation model    

Robust design of configurations and parameters of adaptable products

Jian ZHANG,Yongliang CHEN,Deyi XUE,Peihua GU

《机械工程前沿(英文)》 2014年 第9卷 第1期   页码 1-14 doi: 10.1007/s11465-014-0296-8

摘要:

An adaptable product can satisfy different customer requirements by changing its configuration and parameter values during the operation stage. Design of adaptable products aims at reducing the environment impact through replacement of multiple different products with single adaptable ones. Due to the complex architecture, multiple functional requirements, and changes of product configurations and parameter values in operation, impact of uncertainties to the functional performance measures needs to be considered in design of adaptable products. In this paper, a robust design approach is introduced to identify the optimal design configuration and parameters of an adaptable product whose functional performance measures are the least sensitive to uncertainties. An adaptable product in this paper is modeled by both configurations and parameters. At the configuration level, methods to model different product configuration candidates in design and different product configuration states in operation to satisfy design requirements are introduced. At the parameter level, four types of product/operating parameters and relations among these parameters are discussed. A two-level optimization approach is developed to identify the optimal design configuration and its parameter values of the adaptable product. A case study is implemented to illustrate the effectiveness of the newly developed robust adaptable design method.

关键词: adaptable product     robust design     optimization     uncertainties    

Robust design approach to the minimization of functional performance variations of products and systems

J. ZHANG, H. DU, D. XUE, P. GU

《机械工程前沿(英文)》 2021年 第16卷 第2期   页码 379-392 doi: 10.1007/s11465-020-0607-1

摘要: Functional performance variations of products and systems are often used to measure the qualities of products and systems considering the changes in the design parameter values caused by uncertainties. A robust design approach has been developed in this research to minimize the functional performance variations considering the design parameter uncertainties by identifying the boundaries of the functional performance variations through optimization. In this work, a mathematical model is developed to describe the relationships among functional performance, design configurations and parameters, and design parameter uncertainties. A multi-level optimization model is established to identify: (1) The optimal design configuration, (2) the optimal values of design parameters, and (3) the boundaries of functional performance variations. Sensitivity analysis considering the impact of parameter uncertainties on functional performance variation boundaries has also been conducted. A case study on the design of a truss system has been conducted. Case study results show that the sensitivities of functional performance variation boundaries to the design parameter uncertainties can be reduced significantly using the new robust design approach.

关键词: product design     robust design     design optimization     uncertainties    

Two-stage stochastic programming with robust constraints for the logistics network post-disruption response

《工程管理前沿(英文)》   页码 67-81 doi: 10.1007/s42524-022-0240-2

摘要: Logistics networks (LNs) are essential for the transportation and distribution of goods or services from suppliers to consumers. However, LNs with complex structures are more vulnerable to disruptions due to natural disasters and accidents. To address the LN post-disruption response strategy optimization problem, this study proposes a novel two-stage stochastic programming model with robust delivery time constraints. The proposed model jointly optimizes the new-line-opening and rerouting decisions in the face of uncertain transport demands and transportation times. To enhance the robustness of the response strategy obtained, the conditional value at risk (CVaR) criterion is utilized to reduce the operational risk, and robust constraints based on the scenario-based uncertainty sets are proposed to guarantee the delivery time requirement. An equivalent tractable mixed-integer linear programming reformulation is further derived by linearizing the CVaR objective function and dualizing the infinite number of robust constraints into finite ones. A case study based on the practical operations of the JD LN is conducted to validate the practical significance of the proposed model. A comparison with the rerouting strategy and two benchmark models demonstrates the superiority of the proposed model in terms of operational cost, delivery time, and loading rate.

关键词: logistics network design     post-disruption response strategy     two-stage stochastic programming     conditional value at risk     robust constraint    

Novel decoupled framework for reliability-based design optimization of structures using a robust shifting

Mohammad Reza GHASEMI, Charles V. CAMP, Babak DIZANGIAN

《结构与土木工程前沿(英文)》 2019年 第13卷 第4期   页码 800-820 doi: 10.1007/s11709-019-0517-7

摘要: In a reliability-based design optimization (RBDO), computation of the failure probability ( ) at all design points through the process may suitably be avoided at the early stages. Thus, to reduce extensive computations of RBDO, one could decouple the optimization and reliability analysis. The present work proposes a new methodology for such a decoupled approach that separates optimization and reliability analysis into two procedures which significantly improve the computational efficiency of the RBDO. This technique is based on the probabilistic sensitivity approach (PSA) on the shifted probability density function. Stochastic variables are separated into two groups of desired and non-desired variables. The three-phase procedure may be summarized as: Phase 1, apply deterministic design optimization based on mean values of random variables; Phase 2, move designs toward a reliable space using PSA and finding a primary reliable optimum point; Phase 3, applying an intelligent self-adaptive procedure based on cubic B-spline interpolation functions until the targeted failure probability is reached. An improved response surface method is used for computation of failure probability. The proposed RBDO approach could significantly reduce the number of analyses required to less than 10% of conventional methods. The computational efficacy of this approach is demonstrated by solving four benchmark truss design problems published in the structural optimization literature.

关键词: reliability-based design optimization     trusses     sensitivity analysis     shifting technique     cubic B-splines     response surface method    

A Robust Tolerance Design Method Based on Fuzzy Quality Loss

CAO Yan-long, MAO Jian, YANG Jiang-xin, WU Zhao-tong, WU Li-qun

《机械工程前沿(英文)》 2006年 第1卷 第1期   页码 101-105 doi: 10.1007/s11465-005-0010-y

摘要:

The traditional tolerance design model ignores the impact of noise factor, so that the design may be infeasible due to variations in design constraints. Based on the analysis of fuzzy factors in tolerance design and the limitations of the traditional Taguchi squared quality loss function, a fuzzy quality loss function model utilizing fuzzy theory was introduced. Concepts on fuzzy quality loss and fuzzy quality loss cost were proposed in the model. The characteristics of the new model and the advantages over the traditional Taguchi quality loss function were analyzed. A robust tolerance design model using a fuzzy quality loss function was proposed. An example was given to illustrate the proposed model. Results and comparisons show that the method is suitable and reliable, and makes the conclusions more objective and reasonable.

关键词: impact     function     robust tolerance     suitable     quality    

移动卫星天线μ鲁棒控制设计

李果,胡剑飞,姬献征

《中国工程科学》 2007年 第9卷 第5期   页码 22-26

摘要:

建立了基于移动卫星天线的控制系统,并针对移动卫星天线模型,设计μ鲁棒控制器,试验结果证 明了控制器有效性;尽管外界环境道路变化不同,移动卫星天线控制系统表现出满意的控制性能。

关键词: 移动卫星天线     μ设计     鲁棒控制    

产品跌落冲击耐撞性能稳健设计研究进展

杨书仪,刘德顺,赵继云,文泽军

《中国工程科学》 2010年 第12卷 第1期   页码 61-66

摘要:

跌落冲击是物体在短时间内受到强大冲击力而运动状态发生急剧变化的现象,是导致产品特别是小型机电产品外表破损、功能失效的主要原因。近年来,国内外研究学者针对如何提高产品抗跌落冲击的本质耐撞性能进行了大量研究。笔者从研究对象、研究方法等角度,系统总结了产品跌落冲击耐撞性和产品耐撞性能稳健设计的研究现状,归纳了有待进一步研究的问题。

关键词: 跌落冲击     耐撞性     稳健设计    

汽车零部件(轴)的可靠性稳健优化设计

张义民,贺向东,刘巧伶,闻邦椿

《中国工程科学》 2004年 第6卷 第4期   页码 67-71

摘要:

应用汽车零部件可靠性稳健优化设计的理论方法,对汽车典型轴系零部件,如半轴、前轴和后桥进行了可靠性稳健优化设计,给出了计算仿真分析结果,为工程实际的汽车零部件的可靠性稳健优化设计提供了理论依据。

关键词:     可靠性灵敏度     多目标优化     稳健设计    

汽车零部件(弹簧)的可靠性稳健优化设计

张义民,贺向东,刘巧伶,闻邦椿

《中国工程科学》 2004年 第6卷 第5期   页码 61-64

摘要:

应用汽车零部件可靠性稳健优化设计的理论方法,对汽车典型弹簧系零部件,如扭杆弹簧、螺旋弹簧和钢板弹簧进行了可靠性稳健优化设计,给出了计算仿真分析结果,为工程实际的汽车零部件的可靠性稳健优化设计提供了理论依据。

关键词: 弹簧     可靠性灵敏度     多目标优化     稳健设计    

汽车零部件的可靠性稳健优化设计——理论部分

张义民,贺向东,刘巧伶,闻邦椿

《中国工程科学》 2004年 第6卷 第3期   页码 75-79

摘要:

将可靠性优化设计理论与可靠性灵敏度分析方法相结合,讨论了汽车零部件的可靠性稳健优化设计问题,提出了可靠性稳健优化设计的计算方法。把可靠性灵敏度融入可靠性优化设计模型之中,将可靠性稳健优化设计归结为满足可靠性要求的多目标优化问题。

关键词: 汽车零部件     可靠性灵敏度     多目标优化     稳健设计     理论    

Pareto lexicographic α-robust approach and its application in robust multi objective assembly line balancing

null

《机械工程前沿(英文)》 2014年 第9卷 第3期   页码 257-264 doi: 10.1007/s11465-014-0294-x

摘要:

Robustness in most of the literature is associated with min-max or min-max regret criteria. However, these criteria of robustness are conservative and therefore recently new criteria called, lexicographic α-robust method has been introduced in literature which defines the robust solution as a set of solutions whose quality or jth largest cost is not worse than the best possible jth largest cost in all scenarios. These criteria might be significant for robust optimization of single objective optimization problems. However, in real optimization problems, two or more than two conflicting objectives are desired to optimize concurrently and solution of multi objective optimization problems exists in the form of a set of solutions called Pareto solutions and from these solutions it might be difficult to decide which Pareto solution can satisfy min-max, min-max regret or lexicographic α-robust criteria by considering multiple objectives simultaneously. Therefore, lexicographic α-robust method which is a recently introduced method in literature is extended in the current research for Pareto solutions. The proposed method called Pareto lexicographic α-robust approach can define Pareto lexicographic α-robust solutions from different scenarios by considering multiple objectives simultaneously. A simple example and an application of the proposed method on a simple problem of multi objective optimization of simple assembly line balancing problem with task time uncertainty is presented to get their robust solutions. The presented method can be significant to implement on different multi objective robust optimization problems containing uncertainty.

关键词: Pareto     lexicographic α-robust     assembly line balancing    

标题 作者 时间 类型 操作

Analytical approach to robust design of nonlinear mechanical systems

Jian ZHANG, Nengsheng BAO, Guojun ZHANG, Peihua GU

期刊论文

Reliability-based robust design optimization of vehicle components, Part I: Theory

Yimin ZHANG

期刊论文

Reliability-based robust design optimization of vehicle components, Part II: Case studies

Yimin ZHANG

期刊论文

Shape design of arch dams under load uncertainties with robust optimization

Fengjie TAN, Tom LAHMER

期刊论文

Robust design of configurations and parameters of adaptable products

Jian ZHANG,Yongliang CHEN,Deyi XUE,Peihua GU

期刊论文

Robust design approach to the minimization of functional performance variations of products and systems

J. ZHANG, H. DU, D. XUE, P. GU

期刊论文

Two-stage stochastic programming with robust constraints for the logistics network post-disruption response

期刊论文

Novel decoupled framework for reliability-based design optimization of structures using a robust shifting

Mohammad Reza GHASEMI, Charles V. CAMP, Babak DIZANGIAN

期刊论文

A Robust Tolerance Design Method Based on Fuzzy Quality Loss

CAO Yan-long, MAO Jian, YANG Jiang-xin, WU Zhao-tong, WU Li-qun

期刊论文

移动卫星天线μ鲁棒控制设计

李果,胡剑飞,姬献征

期刊论文

产品跌落冲击耐撞性能稳健设计研究进展

杨书仪,刘德顺,赵继云,文泽军

期刊论文

汽车零部件(轴)的可靠性稳健优化设计

张义民,贺向东,刘巧伶,闻邦椿

期刊论文

汽车零部件(弹簧)的可靠性稳健优化设计

张义民,贺向东,刘巧伶,闻邦椿

期刊论文

汽车零部件的可靠性稳健优化设计——理论部分

张义民,贺向东,刘巧伶,闻邦椿

期刊论文

Pareto lexicographic α-robust approach and its application in robust multi objective assembly line balancing

null

期刊论文