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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

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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

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Reliability-based design for automobiles in China

ZHANG Yimin

《机械工程前沿（英文）》 2008年第3卷第4期页码 369-374 doi: 10.1007/s11465-008-0064-8

摘要： The level of automobile design and manufacturing is an important sign of leadership in science and technology and economic power. The achievements of theories and methods for reliability-based design of automobiles in China are reviewed. For reliability-based design, the theories and practices, optimization, sensitivity, and robustness are estimated. The techniques of reliability-based design for automobiles are developed. The techniques service to the “hollow” phenomena of kernel technology, product innovative power, and independent development power can be solved.

关键词： reliability-based automobile sensitivity optimization robustness

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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

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Reliability-based design optimization of offshore wind turbine support structures using RBF surrogate

《结构与土木工程前沿（英文）》页码 1086-1099 doi: 10.1007/s11709-023-0976-8

摘要： Reliability-based design optimization of offshore wind turbine support structures using RBF surrogate model

关键词： RBF surrogate model turbine support structures

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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：轴可靠性灵敏度多目标优化稳健设计

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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

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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

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Probabilistic analysis of secant piles with random geometric imperfections

《结构与土木工程前沿（英文）》 2021年第15卷第3期页码 682-695 doi: 10.1007/s11709-021-0703-2

摘要： The failure to achieve minimum design overlap between secant piles compromises the ability of a structure to perform as designed, resulting in water leakage or even ground collapse. To establish a more realistic simulation and provide guidelines for designing a safe and cost-effective secant-pile wall, a three-dimensional model of a secant pile, considering the geometric imperfections of the diameter and direction of the borehole, is introduced. An ultrasonic cross-hole test was performed during the construction of secant piles in a launching shaft in Beijing, China. Based on the test results, the statistical characteristics of the pile diameters and orientation parameters were obtained. By taking the pile diameter D, inclination angle β, and azimuth angle α as random variables, Monte Carlo simulations were performed to discuss the influence of different design parameters on the probability density functions of the overlap of secant piles. The obtained results show that the randomness of the inclination angle and pile diameter can be well described by a normal distribution, whereas the azimuth angle is more consistent with a uniform distribution. The integrity of the secant-pile wall can be overestimated without considering the uncertainty of geometric imperfections. The failure of the secant-pile wall increases substantially with increasing spatial variability in drilling inclination and diameter. A design flowchart for pile spacing under the target safety level is proposed to help engineers design a safe and economical pile wall.

关键词： secant piles ultrasonic cross-hole testing probabilistic analysis reliability-based design random imperfections

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Design optimization of a wind turbine gear transmission based on fatigue reliability sensitivity

Genshen LIU, Huaiju LIU, Caichao ZHU, Tianyu MAO, Gang HU

《机械工程前沿（英文）》 2021年第16卷第1期页码 61-79 doi: 10.1007/s11465-020-0611-5

摘要： Fatigue failure of gear transmission is one of the key factors that restrict the performance and service life of wind turbines. One of the major concerns in gear transmission under random loading conditions is the disregard of dynamic fatigue reliability in conventional design methods. Various issues, such as overweight structure or insufficient fatigue reliability, require continuous improvements in the reliability-based design optimization (RBDO) methodology. In this work, a novel gear transmission optimization model based on dynamic fatigue reliability sensitivity is developed to predict the optimal structural parameters of a wind turbine gear transmission. In the model, the dynamic fatigue reliability of the gear transmission is evaluated based on stress–strength interference theory. Design variables are determined based on the reliability sensitivity and correlation coefficient of the initial design parameters. The optimal structural parameters with the minimum volume are identified using the genetic algorithm in consideration of the dynamic fatigue reliability constraints. Comparison of the initial and optimized structures shows that the volume decreases by 3.58% while ensuring fatigue reliability. This work provides new insights into the RBDO of transmission systems from the perspective of reliability sensitivity.

关键词： gear transmission fatigue reliability reliabi-lity sensitivity parameter optimization

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压杆稳定可靠性优化设计

贺向东,张义民,薛玉春,闻邦椿

《中国工程科学》 2007年第9卷第5期页码 33-35

摘要：

在稳定可靠性设计理论和优化设计方法的基础上，讨论了压杆稳定可靠性优化设计问题，提出了压杆稳定可靠性优化设计的计算方法。在基本随机参数的前两阶矩已知的情况下，通过计算机程序可以实现压杆稳定可靠性优化设计，迅速准确地得到压杆稳定可靠性优化设计信息。

关键词：压杆随机摄动法稳定可靠性优化设计

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基于TLBO算法的不确定性条件下复杂产品协同设计的可靠性拓扑优化

洪兆溪, 蒋翔宇, 冯毅雄, 田钦羽, 谭建荣

《工程（英文）》 2023年第22卷第3期页码 71-81 doi: 10.1016/j.eng.2021.06.027

摘要：

复杂产品的拓扑优化设计可以显著改善材料和节能，有效地降低惯性力和机械振动。本研究选择了一种大吨位液压机作为典型的复杂产品，用以表述这种优化方法。基于可靠性和优化解耦模型与基于教与学优化（TLBO）算法，本文提出了一种可靠性拓扑优化方法。将由板系结构形成的支撑物作为拓扑优化对象，具有轻量化和稳定性好的特点。将某种不确定性下的可靠性优化和结构拓扑优化协同处理。首先，利用有限差分法将优化问题中的不确定性参数修正为确定性参数。然后，将不确定性可靠性分析和拓扑优化的复杂嵌套解耦。最后，利用TLBO算法求解解耦模型。该算法参数少，求解速度快。TLBO算法采用了自适应教学因子，在初始阶段实现了更快的收敛速度，并在后期阶段进行了更精细的搜索。本文给出了一个液压机基板结构的数值实例，验证了该方法的有效性。

关键词：板系结构可靠性协同拓扑优化教与学优化算法不确定性产品生命周期的协同设计

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Reliability-based settlement analysis of embankments over soft soils reinforced with T-shaped deep cement

Chana PHUTTHANANON; Pornkasem JONGPRADIST; Daniel DIAS; Xiangfeng GUO; Pitthaya JAMSAWANG; Julien BAROTH

《结构与土木工程前沿（英文）》 2022年第16卷第5期页码 638-656 doi: 10.1007/s11709-022-0825-1

摘要： This paper presents a reliability-based settlement analysis of T-shaped deep cement mixing (TDM) pile-supported embankments over soft soils. The uncertainties of the mechanical properties of the in-situ soil, pile, and embankment, and the effect of the pile shape are considered simultaneously. The analyses are performed using Monte Carlo Simulations in combination with an adaptive Kriging (using adaptive sampling algorithm). Individual and system failure probabilities, in terms of the differential and maximum settlements (serviceability limit state (SLS) requirements), are considered. The reliability results for the embankments supported by TDM piles, with various shapes, are compared and discussed together with the results for conventional deep cement mixing pile-supported embankments with equivalent pile volumes. The influences of the inherent variabilities in the material properties (mean and coefficient of variation values) on the reliability of the piled embankments, are also investigated. This study shows that large TDM piles, particularly those with a shape factor of greater than 3, can enhance the reliability of the embankment in terms of SLS requirements, and even avoid unacceptable reliability levels caused by variability in the material properties.

关键词： T-shaped deep cement mixing piles piled embankments settlement reliability analysis soil uncertainties

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螺旋管簧的可靠性优化设计

张义民,贺向东,闻邦椿

《中国工程科学》 2002年第4卷第5期页码 71-74

摘要：

讨论了螺旋管簧的可靠性优化设计问题。在基本随机变量的概率特性已知的情况下，采用二阶矩法和可靠性优化设计方法对螺旋管簧进行了可靠性优化设计，通过计算机程序可以直接实现螺旋管簧的可靠性优化设计，迅速准确地得到螺旋管簧的可靠性优化设计信息。

关键词：螺旋管簧可靠性优化设计二阶矩技术

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Reliability design method for steam turbine blades

SHI Jinyuan

《能源前沿（英文）》 2008年第2卷第4期页码 363-368 doi: 10.1007/s11708-008-0073-7

摘要： Based on theories of probability and statistics, and taking static stresses, dynamic stresses, endurance strength, safety ratios, vibration frequencies and exciting force frequencies of blades as random variables, a reliability design method for steam turbine blades is presented. The purport and calculation method for blade reliability are expounded. The distribution parameters of random variables are determined after analysis and numerical calculation of test data. The fatigue strength and the vibration design reliability of turbine blades are determined with the aid of a probabilistic design method and by interference models for stress distribution and strength distribution. Some blade reliability design calculation formulas for a dynamic stress design method, a safety ratio design method for fatigue strength, and a vibration reliability design method for the first and second types of tuned blades and a packet of blades on a disk connected closely, are given together with some practical examples. With these methods, the design reliability of steam turbine blades can be guaranteed in the design stage. This research may provide some scientific basis for reliability design of steam turbine blades.

关键词： design reliability force probability purport reliability design