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Optimization method of design parameters of hypoid gears with low sliding ratio 低滑动比准双曲面齿轮设计参数的优化方法
IF 3.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-07-03 DOI: 10.1115/1.4062880
Y. Zhang, Zhiyong Wang, Hong-zhi Yan
To reduce the wear, an optimization method of hypoid gears with the objective of minimizing the pinion sliding ratio is proposed. Firstly, the sliding ratio model of the hypoid gear is established on the basis of the spatial gear meshing theory. Furthermore, the influence of design parameters on the sliding ratio and the relative sliding velocity is discussed, and the analysis results show that the parameters, especially the spiral angle and the pressure angle, have the most significant influence on the sliding ratio of the pinion. Additionally, the optimization model of hypoid gears is established with the objective of minimizing the sum of the absolute values of the sliding ratio for the 34 meshing points on the two tooth surfaces of the pinion, through comparison before and after optimization, it is found that the maximum drops of the sliding ratio for the pinion drive and coast side are 68.6% and 29.58% respectively. Finally, the results of the operating temperature test demonstrate that the temperature of the optimized gear pair is significantly reduced, and that the proposed method is effective.
为了减小准双曲面齿轮的磨损,提出了一种以小齿轮滑动比最小为目标的准双曲面齿轮优化方法。首先,基于空间齿轮啮合理论建立准双曲面齿轮的滑动比模型;进一步讨论了设计参数对小齿轮滑动比和相对滑动速度的影响,分析结果表明,参数,特别是螺旋角和压力角对小齿轮滑动比的影响最为显著。以小齿轮两齿面34个啮合点的滑动比绝对值之和最小为目标,建立了准双曲面齿轮的优化模型,通过优化前后对比发现,小齿轮传动和侧齿面滑动比的最大降幅分别为68.6%和29.58%。最后,工作温度试验结果表明,优化后的齿轮副温度显著降低,表明所提方法是有效的。
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引用次数: 0
A COMPUTATIONAL MODEL OF HUMAN PROFICIENCY IN ENGINEERING CONFIGURATION DESIGN 人在工程构型设计中的熟练程度计算模型
IF 3.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-06-28 DOI: 10.1115/1.4062861
Ethan Brownell, J. Cagan, K. Kotovsky
This work introduces the Proficient Simulated Annealing Design Agent Model (PSADA), a cognitively inspired, agent-based model of engineering configuration design. PSADA models different proficiency agents using move selection heuristics and problem space search strategies, both of which are identified and extracted from prior human subject studies. The model is validated with two design problems. Agents are compared to human designers and show the accurate simulation of the behaviors of the different proficiency designers. These behavior differences lead to significantly different performance levels, matching the human performance levels with just one exception. These validated heterogeneous agents are placed into teams and confirmed previous findings that the most proficient member of a configuration design team has the largest impact (positive or negative) on team performance. The PSADA model is introduced as a scalable platform to further explore configuration design proficiency's role in design team performance and organizational behavior.
本文介绍了精通模拟退火设计智能体模型(PSADA),这是一种认知启发的基于智能体的工程配置设计模型。PSADA使用移动选择启发式和问题空间搜索策略对不同熟练度的智能体进行建模,这两种策略都是从先前的人类受试者研究中识别和提取的。通过两个设计问题对模型进行了验证。将智能体与人类设计师进行比较,并对不同熟练度设计师的行为进行精确模拟。这些行为差异导致了显著不同的表现水平,与人类的表现水平相匹配,只有一个例外。这些经过验证的异质代理被放置到团队中,并证实了先前的发现,即配置设计团队中最熟练的成员对团队绩效具有最大的影响(积极的或消极的)。PSADA模型作为一个可扩展的平台被引入,以进一步探索配置设计熟练度在设计团队绩效和组织行为中的作用。
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引用次数: 0
Adaptive First-Crossing Approach for Life-Cycle Reliability Analysis 生命周期可靠性分析的自适应首次交叉方法
IF 3.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-06-26 DOI: 10.1115/1.4062732
Shuijuan Yu, Peng Guo, X. Wu
Life-cycle reliability analysis can effectively estimate and present the changes in the state of safety for structures under dynamic uncertainties during their lifecycle. The first-crossing approach is an efficient way to evaluate time-variant reliability-based on the probabilistic characteristics of the first-crossing time point (FCTP). However, the FCTP model has a number of critical challenges, such as computational accuracy. This paper proposes an adaptive first-crossing approach for the time-varying reliability of structures over their whole lifecycle, which can provide a tool for cycle-life reliability analysis and design. The response surface of FCTP regarding input variables is first estimated by performing support vector regression. Furthermore, the adaptive learning algorithm for training support vector regression is developed by integrating the uniform design and the central moments of the surrogate model. Then, the convergence condition, which combines the raw moments and entropy of the first-crossing probability distribution function (PDF), is constructed to build the optimal first-crossing surrogate model. Finally, the first-crossing PDF is solved using the adaptive kernel density estimation to obtain the time-variant reliability trend during the whole lifecycle. Examples are demonstrated to specify the proposed method in applications.
全生命周期可靠性分析可以有效地估计和呈现结构在动力不确定性作用下的全生命周期安全状态的变化。首次穿越法是一种基于首次穿越时间点(FCTP)概率特性的时变可靠性评估方法。然而,FCTP模型有许多关键的挑战,比如计算精度。提出了一种结构全生命周期时变可靠度的自适应首次交叉方法,为结构全生命周期可靠性分析和设计提供了一种工具。首先通过支持向量回归估计FCTP对输入变量的响应面。此外,通过整合代理模型的均匀设计和中心矩,提出了训练支持向量回归的自适应学习算法。然后,结合初始矩和初始概率分布函数(PDF)的熵,构造收敛条件,构建最优初始交叉代理模型;最后,利用自适应核密度估计求解首次交叉概率分布,得到全生命周期的时变可靠性趋势。通过实例说明了该方法在实际应用中的应用。
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引用次数: 1
G-Puzzle: Infilling 3D Models with Reinforced G-Lattices G-Puzzle:用增强的g格填充3D模型
IF 3.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-06-26 DOI: 10.1115/1.4062832
Arash Armanfar, E. Ustundag, Erkan Gunpinar
G-Lattices (proposed by Armanfar and Gunpinar) are a group of novel periodic and strut-based lattice structures for additive manufacturing. It has been demonstrated that these structures have superior mechanical properties under compression compared to conventional lattice structures. This paper introduces an extension of G-Lattices (i.e., reinforced G-Lattices) that also have better mechanical performance under inclined (compression) loading conditions. For different inclined loads, separate reinforced G-Lattices are first optimized, and a G-Lattice library is formed. For a part under loading, displacement vectors in each unit cell (cubic domains within inner region of the part) are then extracted. Based on these vectors, (pre-optimized) reinforced G-Lattices are selected from the G-Lattice library and utilized (as infills) in the unit cells. This process is called G-Puzzling. As a proof of concept, parts under three different inclined loading conditions are infilled using reinforced G-Lattices and investigated based on stiffness-over-volume ratios. According to these experiments, the resulting parts, on average, exhibit more than %30 better mechanical performance compared to FBCCZ (a conventional lattice structure).
g晶格(由Armanfar和Gunpinar提出)是一组用于增材制造的新型周期性和基于支柱的晶格结构。与传统的晶格结构相比,这些结构在压缩条件下具有优越的力学性能。本文介绍了在倾斜(压缩)加载条件下也具有较好力学性能的g -格的一种扩展(即加强型g -格)。针对不同的倾斜荷载,首先对单独的G-Lattice进行优化,形成G-Lattice库。对于受载荷作用的零件,提取每个单元格(零件内部区域内的三次域)中的位移向量。基于这些向量,从G-Lattice库中选择(预优化的)增强G-Lattice,并在单元格中使用(作为填充)。这个过程被称为g - puzzle。作为概念验证,在三种不同的倾斜载荷条件下,使用增强g格填充零件,并基于刚度-体积比进行研究。根据这些实验,与FBCCZ(一种传统的晶格结构)相比,所得零件的机械性能平均提高了30%以上。
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引用次数: 0
Concurrent Build Direction, Part Segmentation, and Topology Optimization for Additive Manufacturing Using Neural Networks 基于神经网络的增材制造并行构建方向、零件分割和拓扑优化
3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-06-23 DOI: 10.1115/1.4062663
Hongrui Chen, Aditya Joglekar, Kate S. Whitefoot, Levent Burak Kara
Abstract Without an explicit formulation to minimize support structures, topology optimization may create complex shapes that require an intensive use of support material when additively manufactured. We propose a neural network-based approach to topology optimization that aims to reduce the use of support structures in additive manufacturing. Our approach uses a network architecture that allows the simultaneous determination of an optimized: (1) part segmentation, (2) the topology of each part, and (3) the build direction of each part that collectively minimize the amount of support structure. Through training, the network learns a material density and segment classification in the continuous 3D space. Given a problem domain with prescribed load and displacement boundary conditions, the neural network takes as input 3D coordinates of the voxelized domain as training samples and outputs a continuous density field. Since the neural network for topology optimization learns the density distribution field, analytical solutions to the density gradient can be obtained from the input–output relationship of the neural network. We demonstrate our approach on several compliance minimization problems with volume fraction constraints, where support volume minimization is added as an additional criterion to the objective function. We show that simultaneous optimization of part segmentation along with the topology and print angle optimization further reduces the support structure, compared to a combined print angle and topology optimization without segmentation.
如果没有明确的公式来最小化支撑结构,拓扑优化可能会产生复杂的形状,在增材制造时需要大量使用支撑材料。我们提出了一种基于神经网络的拓扑优化方法,旨在减少增材制造中支撑结构的使用。我们的方法使用网络架构,允许同时确定优化的:(1)部分分割,(2)每个部分的拓扑结构,(3)每个部分的构建方向,共同最小化支撑结构的数量。通过训练,网络在连续的三维空间中学习材料密度和分段分类。给定给定载荷和位移边界条件的问题域,神经网络以体素化域的三维坐标作为输入训练样本,输出连续的密度场。由于用于拓扑优化的神经网络学习了密度分布场,因此可以从神经网络的输入输出关系中得到密度梯度的解析解。我们在几个具有体积分数约束的顺应性最小化问题上展示了我们的方法,其中支持体积最小化作为目标函数的附加标准被添加。研究表明,与不进行分割的打印角度和拓扑优化相结合的方法相比,同时进行零件分割优化以及拓扑和拓扑优化可以进一步减少支撑结构。
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引用次数: 1
Multi-objective Bayesian Optimization Supported by an Expected Pareto Distance Change 期望帕累托距离变化支持的多目标贝叶斯优化
IF 3.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-06-21 DOI: 10.1115/1.4062789
H. Valladares, A. Tovar
The solution to global (a posteriori) multi-objective optimization problems traditionally relies on population-based algorithms, which are very effective in generating a Pareto front. Unfortunately, due to the high number of function evaluations, these methods are of limited use in problems that involve expensive black-box functions. In recent years, multi-objective Bayesian optimization has emerged as a powerful alternative; however, in many applications, these methods fail to generate a diverse and well-spread Pareto front. To address this limitation, our work introduces a novel acquisition function (AF) for multi-objective Bayesian optimization that produces more informative acquisition landscapes. The proposed AF comprises two terms, namely, a distance-based metric and a diversity index. The distance-based metric, referred to as the expected Pareto distance change, promotes the evaluation of high-performing designs and repels low-performing design zones. The diversity term prevents the evaluation of designs that are similar to the ones contained in the current sampling plan. The proposed AF is studied using seven analytical problems and in the design optimization of sandwich composite armors for blast mitigation, which involves expensive finite element simulations. The results show that the proposed AF generates high-quality Pareto sets outperforming well-established methods such as the Euclidean-based expected improvement function. The proposed AF is also compared with respect to a recently proposed multi-objective approach. The difference in their performance is problem dependent.
全局(后验)多目标优化问题的解决传统上依赖于基于种群的算法,该算法在生成帕累托前沿方面非常有效。不幸的是,由于大量的函数求值,这些方法在涉及昂贵的黑盒函数的问题中使用有限。近年来,多目标贝叶斯优化已成为一种强大的替代方案;然而,在许多应用中,这些方法无法产生多样化和广泛分布的帕累托前沿。为了解决这一限制,我们的工作引入了一种新的获取函数(AF),用于多目标贝叶斯优化,产生更多信息的获取景观。建议的AF包括两个术语,即基于距离的度量和多样性指数。基于距离的度量,被称为预期的帕累托距离变化,促进了对高性能设计的评估,并排斥了低性能的设计区域。多样性项阻止了对与当前抽样计划中包含的设计相似的设计进行评估。本文采用7个解析问题对该方法进行了研究,并将其应用于夹层复合材料抗爆装甲的优化设计中。结果表明,该算法生成的Pareto集质量优于基于欧几里得的期望改进函数等方法。本文还比较了最近提出的一种多目标方法。它们的性能差异取决于问题。
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引用次数: 0
Sequential Sampling Based Asymptotic Probability Estimation for High Dimensional Rare Events 基于序贯抽样的高维罕见事件渐近概率估计
IF 3.3 3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-06-21 DOI: 10.1115/1.4062790
Yanwen Xu, Pingfeng Wang
Accurate analysis of rare failure events with an affordable computational cost is often challenging in many engineering applications, particularly for problems with high dimensional system inputs. The extremely low probabilities occurrences often lead to large probability estimation errors and low computational efficiency. Thus, it is vital to develop advanced probability analysis methods that are capable of providing robust estimations of rare event probabilities with narrow confidence bounds. The general method of determining confidence intervals of an estimator using the central limit theorem faces the critical obstacle of low computational efficiency. This is a side-effect of the widely used Monte Carlo method, which often requires a large number of simulation samples to derive a reasonably narrow confidence interval. In this paper a new probability analysis approach is developed which can be used to derive the estimates of rare event probabilities efficiently with narrow estimation bounds simultaneously for high dimensional problems and complex engineering systems. The asymptotic behavior of the developed estimator is proven theoretically without imposing strong assumptions. An asymptotic confidence interval is established for the developed estimator. The presented study offers important insights into the robust estimations of the probability of occurrences for rare events. The accuracy and computational efficiency of the developed technique is assessed with numerical and engineering case studies. Case study results have demonstrated that narrow bounds can be obtained efficiently using the developed approach with the true values consistently located within the estimation bounds.
在许多工程应用中,以可承受的计算成本对罕见故障事件进行准确分析通常具有挑战性,特别是对于具有高维系统输入的问题。由于概率极低,导致概率估计误差大,计算效率低。因此,发展先进的概率分析方法是至关重要的,这些方法能够提供具有窄置信范围的罕见事件概率的稳健估计。利用中心极限定理确定估计量置信区间的一般方法面临着计算效率低的关键障碍。这是广泛使用的蒙特卡罗方法的副作用,蒙特卡罗方法通常需要大量的模拟样本来推导出一个相当窄的置信区间。本文提出了一种新的概率分析方法,可用于高维问题和复杂工程系统的罕见事件概率的估计,且估计界较窄。在不施加强假设的情况下,从理论上证明了该估计量的渐近性。建立了渐近置信区间。提出的研究为罕见事件发生概率的可靠估计提供了重要的见解。通过数值和工程实例对所开发技术的精度和计算效率进行了评价。实例研究结果表明,该方法可以有效地获得窄边界,且真值始终位于估计边界内。
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引用次数: 0
Announcing the Journal of Mechanical Design 2022 Editors’ Choice Paper Awards and Honorable Mention 宣布机械设计杂志2022年编辑选择论文奖和荣誉奖
3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-06-15 DOI: 10.1115/1.4062670
Carolyn Seepersad, Qiaode Jeffrey Ge
We are pleased to announce the two (2) winners for the Journal of Mechanical Design 2022 Editors’ Choice Paper Award:In the Category of Design Methods:Eamon Whalen and Caitlin Mueller (September 21, 2021). “Toward Reusable Surrogate Models: Graph-Based Transfer Learning on Trusses.” ASME. J. Mech. Des. February 2022; 144(2): 021704. https://doi.org/10.1115/1.4052298In the Category of Machine Design:Abdullah Aamir Hayat, Lim Yi, Manivannan Kalimuthu, M. R. Elara, and Kristin L. Wood (February 15, 2022). “Reconfigurable Robotic System Design With Application to Cleaning and Maintenance.” ASME. J. Mech. Des. June 2022; 144(6): 063305. https://doi.org/10.1115/1.4053631In addition, one (1) paper was awarded an Honorable Mention in the Category of Machine Design:Merel van Diepen and Kristina Shea (June 13, 2022). “Co-Design of the Morphology and Actuation of Soft Robots for Locomotion.” ASME. J. Mech. Des. August 2022; 144(8): 083305. https://doi.org/10.1115/1.4054522The selection of these papers was based on the recommendations of the Associate and Guest Editors and guided by the following criteria: (i) fundamental value of the contribution, (ii) expectation of archival value (e.g., expected number of citations), (iii) practical relevance to mechanical design, and (iv) quality of presentation. Nominated papers were considered in two category tracks by two separate ad hoc committees: one for design methods and one for machine design. The paper by Whalen et al. was awarded in the category of design methods and the papers by Hayat et al. and van Diepen et al. were awarded in the category of machine design.Plaques will be awarded to each of the authors of the Editors’ Choice Award, and certificates will be awarded to the authors of the paper with an Honorable Mention. We would like to congratulate all the award recipients and look forward to continuing to work with the entire ASME community of editors, authors, reviewers, and staff to bring the Journal of Mechanical Design to the next level of excellence.
我们很高兴地宣布,机械设计杂志2022年编辑选择论文奖的两(2)名获奖者:在设计方法类别:Eamon Whalen和Caitlin Mueller(2021年9月21日)。迈向可重用代理模型:基于图的桁架迁移学习。ASME。j .机械工程。2022年2月9日;144(2): 021704。https://doi.org/10.1115/1.4052298In机械设计类:Abdullah Aamir Hayat, Lim Yi, Manivannan Kalimuthu, M. R. Elara和Kristin L. Wood(2022年2月15日)。可重构机器人系统设计及其在清洁和维护中的应用ASME。j .机械工程。2022年6月6日;144(6): 063305。https://doi.org/10.1115/1.4053631In此外,一(1)篇论文在机器设计类别中获得荣誉奖:Merel van Diepen和Kristina Shea(2022年6月13日)。软体机器人运动形态与驱动的协同设计ASME。j .机械工程。2022年8月8日;144(8): 083305。https://doi.org/10.1115/1.4054522The这些论文的选择是基于副编辑和客座编辑的建议,并以以下标准为指导:(i)贡献的基本价值,(ii)档案价值的预期(例如,引用的预期数量),(iii)与机械设计的实际相关性,以及(iv)展示质量。提名论文由两个独立的特设委员会分两个类别进行审议:一个是设计方法,一个是机器设计。Whalen等人的论文获得了设计方法类的奖项,Hayat等人和van Diepen等人的论文获得了机器设计类的奖项。每位获得编辑选择奖的作者将获得奖牌,论文的作者将获得荣誉奖的证书。我们要祝贺所有获奖者,并期待继续与整个ASME社区的编辑、作者、审稿人和工作人员合作,将《机械设计杂志》推向一个新的卓越水平。
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引用次数: 0
A Right-Hand Side Function Surrogate Model-Based Method for the Black-Box Dynamic Optimization Problem 基于右侧函数代理模型的黑箱动态优化方法
3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-06-15 DOI: 10.1115/1.4062641
Qi Zhang, Yizhong Wu, Ping Qiao, Li Lu, Zhehao Xia
Abstract When solving the black-box dynamic optimization problem (BDOP) in the sophisticated dynamic system, the finite difference technique requires significant computational efforts on numerous expensive system simulations to provide approximate numerical Jacobian information for the gradient-based optimizer. To save computational budget, this work introduces a BDOP solving framework based on the right-hand side (RHS) function surrogate model (RHSFSM), in which the RHS derivative functions of the state equation are approximated by the surrogate models, and the Jacobian information is provided by inexpensive estimations of RHSFSM rather than the original time-consuming system evaluations. Meanwhile, the sampling strategies applicable to the construction of RHSFSM are classified into three categories: direct, indirect, and hybrid sampling strategy, and the properties of these strategies are analyzed and compared. Furthermore, to assist the RHSFSM-based BDOP solving framework search for the optimum efficiently, a novel dynamic hybrid sampling strategy is proposed to update RHSFSM sequentially. Finally, two dynamic optimization examples and a co-design example of a horizontal axis wind turbine illustrate that the RHSFSM-based BDOP solving framework integrated with the proposed dynamic hybrid sampling strategy not only solves the BDOP efficiently but also achieves the optimal solution robustly and reliably compared to other sampling strategies.
摘要在求解复杂动态系统中的黑盒动态优化问题(BDOP)时,有限差分技术需要进行大量昂贵的系统仿真来为基于梯度的优化器提供近似的数值雅可比矩阵信息。为了节省计算预算,本文引入了一种基于右侧(RHS)函数代理模型(RHSFSM)的BDOP求解框架,其中状态方程的RHS导数函数由代理模型近似,雅可比矩阵信息由RHSFSM的廉价估计提供,而不是原始耗时的系统评估。同时,将适用于构建RHSFSM的采样策略分为直接采样策略、间接采样策略和混合采样策略三种,并对这些策略的性质进行了分析和比较。此外,为了帮助基于RHSFSM的BDOP求解框架高效地寻找最优解,提出了一种新的动态混合采样策略,对RHSFSM进行顺序更新。最后,两个动态优化算例和一个水平轴风力机协同设计算例表明,与其他采样策略相比,基于rhsfsm的BDOP求解框架与所提出的动态混合采样策略相结合,不仅有效地求解了BDOP问题,而且鲁棒可靠地获得了最优解。
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引用次数: 1
Hit, Miss, or Error? Predicting Errors in Design Decision Making for Radically Innovative Ideas Using Individual Attributes 命中,错过,还是错误?利用个体属性预测激进创新理念设计决策中的错误
3区 工程技术 Q2 ENGINEERING, MECHANICAL Pub Date : 2023-06-09 DOI: 10.1115/1.4062605
Aoran Peng, Scarlett Miller
Abstract Researchers and practitioners alike agree that for companies to survive and thrive they must develop and support radical innovation. However, these ideas are complex and risky, and not all succeed. Because of this, decision makers are often left to make hard decisions in terms of which ideas can move on and which are abandoned. The goal of this article was to provide evidence on the impact of individuals’ preferences for creativity on the effectiveness of their decision making for radical ideas using principles from signal detection theory (SDT). To do this, we used data from a previous study of 2252 idea evaluations by engineering students and classified these decisions based on SDT to see if we could predict the likelihood of occurrence of hit (correct identification), miss (type 1 error), false alarm (type II error), and correct rejection. The results showed that lower levels of risk tolerance resulted in an increased likelihood that a hit occurred. On the other hand, higher levels of motivation resulted in an increased likelihood of a type I error occurring, or that an individual would more likely neglect a good idea that had a high chance of future success. Finally, increased risk tolerance resulted in an increased likelihood that type II error occurred, or that an individual would expend resources on an idea with limited likelihood of success. The results serve as empirical evidence on decision making in radically innovative tasks and provide a methodology for studying decision making in innovative design.
研究人员和从业人员一致认为,企业要想生存和发展,就必须发展和支持激进的创新。然而,这些想法既复杂又有风险,而且并非都能成功。正因为如此,决策者常常不得不做出艰难的决定,决定哪些想法可以继续发展,哪些想法可以放弃。本文的目的是利用信号检测理论(SDT)的原理,为个人的创造力偏好对激进思想决策有效性的影响提供证据。为了做到这一点,我们使用了之前对工程专业学生的2252个想法评估的研究数据,并基于SDT对这些决策进行分类,看看我们是否可以预测命中(正确识别)、错过(类型1错误)、假警报(类型2错误)和正确拒绝发生的可能性。结果表明,较低的风险承受能力会增加发生撞击的可能性。另一方面,高水平的动机导致I型错误发生的可能性增加,或者一个人更有可能忽视一个有很大机会在未来成功的好主意。最后,风险容忍度的提高导致第二种错误发生的可能性增加,或者个人会在成功可能性有限的想法上花费资源。研究结果为根本性创新任务中的决策提供了实证证据,并为创新设计中的决策研究提供了一种方法。
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引用次数: 0
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Journal of Mechanical Design
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