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  • 1
    UID:
    b3kat_BV047580668
    Format: 1 Online-Ressource
    ISBN: 9783030783549
    Series Statement: Springer tracts in mechanical engineering
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-030-78353-2
    Language: English
    URL: Volltext  (kostenfrei)
    URL: Volltext  (kostenfrei)
    Author information: Pfetsch, Marc E.
    Author information: Groche, Peter 1961-
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    UID:
    b3kat_BV047316469
    Format: 1 Online-Ressource
    ISBN: 9783030772567
    Series Statement: Lecture notes in mechanical engineering
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-3-030-77255-0
    Language: English
    Subjects: Engineering
    RVK:
    RVK:
    Keywords: Konstruktionslehre ; Maschinenbau ; Unsicherheit ; Konferenzschrift
    URL: Volltext  (kostenfrei)
    URL: Volltext  (kostenfrei)
    Author information: Groche, Peter 1961-
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  • 3
    UID:
    b3kat_BV046933869
    Format: XX, 825 Seiten , Illustrationen, Diagramme , 25 cm
    Edition: 5., überarbeitete und erweiterte Auflage 2020
    ISBN: 9783658294830 , 3658294833
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-3-658-29484-7
    Former: Vorangegangen ist
    Language: German
    Subjects: Engineering , Physics
    RVK:
    RVK:
    Keywords: Tribologie
    Author information: Fischer, Alfons 1953-
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  • 4
    UID:
    gbv_1778409059
    Format: 1 Online-Ressource (308 p.)
    ISBN: 9783030772567
    Series Statement: Lecture Notes in Mechanical Engineering
    Content: This open access book reports on methods and technologies to describe, evaluate and control uncertainty in mechanical engineering applications. It brings together contributions by engineers, mathematicians and legal experts, offering a multidisciplinary perspective on the main issues affecting uncertainty throughout the complete system lifetime, which includes process and product planning, development, production and usage. The book is based on the proceedings of the 4th International Conference on Uncertainty in Mechanical Engineering (ICUME 2021), organized by the Collaborative Research Center (CRC) 805 of the TU Darmstadt, and held online on June 7–8, 2021. All in all, it offers a timely resource for researchers, graduate students and practitioners in the field of mechanical engineering, production engineering and engineering optimization
    Note: English
    Language: English
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  • 5
    UID:
    gbv_1794591443
    Format: 1 Online-Ressource (471 p.)
    ISBN: 9783030783549
    Series Statement: Springer Tracts in Mechanical Engineering
    Content: This open access book reports on innovative methods, technologies and strategies for mastering uncertainty in technical systems. Despite the fact that current research on uncertainty is mainly focusing on uncertainty quantification and analysis, this book gives emphasis to innovative ways to master uncertainty in engineering design, production and product usage alike. It gathers authoritative contributions by more than 30 scientists reporting on years of research in the areas of engineering, applied mathematics and law, thus offering a timely, comprehensive and multidisciplinary account of theories and methods for quantifying data, model and structural uncertainty, and of fundamental strategies for mastering uncertainty. It covers key concepts such as robustness, flexibility and resilience in detail. All the described methods, technologies and strategies have been validated with the help of three technical systems, i.e. the Modular Active Spring-Damper System, the Active Air Spring and the 3D Servo Press, which have been in turn developed and tested during more than ten years of cooperative research. Overall, this book offers a timely, practice-oriented reference guide to graduate students, researchers and professionals dealing with uncertainty in the broad field of mechanical engineering
    Note: English
    Language: English
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  • 6
    UID:
    almahu_9948320620402882
    Format: 1 online resource (672 pages) : , illustrations (some color), graphs, tables.
    ISBN: 9783038265108 (e-book)
    Series Statement: Advanced Materials Research, Volume 966-967
    Additional Edition: Print version: International Conference on Tribology in Manufacturing Processes & Joining by Plastic Deformation (6th : 2014 : Darmstadt, Germany) Tribology in manufacturing processes and joining by plastic deformation : selected, peer reviewed papers from the 6th International Conference on Tribology in Manufacturing Processes & Joining by Plastic Deformation, June 22-24, 2014, Darmstadt, Germany. Zurich, Switzerland : TTP, c2014 ISSN 1662-8985 ISBN 9783038351276
    Language: English
    Keywords: Electronic books.
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  • 7
    UID:
    almahu_9949301578702882
    Format: 1 online resource (313 pages)
    ISBN: 9783030772567
    Series Statement: Lecture Notes in Mechanical Engineering Ser.
    Note: Intro -- Preface -- Committees -- Local Scientific Committee -- International Scientific Committee -- Local Organizing Committee -- Contents -- Mastering Uncertainty by Digitalization -- Ontology-Based Calculation of Complexity Metrics for Components in CAD Systems -- 1 Introduction -- 2 Related Work -- 3 Concept -- 3.1 Ontologies -- 3.2 Metrics for Individuals -- 3.3 Metrics for Relations -- 3.4 Metrics for the Complicatedness -- 3.5 Examples -- 3.6 Fusion of the Metrics -- 4 Conclusions -- References -- Towards CAD-Based Mathematical Optimization for Additive Manufacturing - Designing Forming Tools for Tool-Bound Bending -- 1 Introduction -- 2 Mathematical Optimization and the Application to a Segmented Blank Holder -- 3 CAD-Based Mathematical Optimization -- 4 Finite Element Analysis and Shape Optimization -- 5 Conclusion and Outlook -- References -- Development of an Annotation Schema for the Identification of Semantic Uncertainty in DIN Standards -- 1 Introduction -- 2 Meaning, Knowledge, and Uncertainty -- 3 Taxonomy of Uncertainty -- 4 Information System -- 5 Conclusion and Outlook -- References -- Mastering Model Uncertainty by Transfer from Virtual to Real System -- 1 Introduction -- 2 Hardware-in-the-Loop Test Rig with Time Delay -- 2.1 HiL Stability -- 2.2 Time Delay Compensation Problems for Model Validation -- 3 Quarter Car Test Rig -- 3.1 FDVA Results in the Quarter Car Test Rig -- 4 Conclusion -- References -- Resilience -- Potentials and Challenges of Resilience as a Paradigm for Designing Technical Systems -- 1 Introduction -- 2 Overview of Resilience Concepts -- 3 Our Approach-Definition, Resilience Functions and Metrics -- 4 Design of Resilient Technical Systems -- 4.1 Practical Implications -- 4.2 Example Systems -- 5 Challenges and Potentials -- 5.1 Challenges -- 5.2 Potentials -- 6 Conclusion -- References. , Modelling of Resilient Coping Strategies within the Framework of the Resilience Design Methodology for Load-Carrying Systems in Mechanical Engineering -- 1 Introduction -- 2 Fundamentals -- 2.1 Resilience -- 2.2 Vulnerability -- 2.3 Functional Structure Modelling -- 3 Research Question -- 4 Modelling Resilient System Structures -- 4.1 General and Basic Resilient Coping Strategies -- 4.2 Modelling of Adaptivity for Resilient System Coping Strategies -- 5 Example of by-wire Car Brake System -- 6 Summary and Conclusions -- References -- Validation of an Optimized Resilient Water Supply System -- 1 Introduction -- 2 Test Rig -- 3 Mathematical Optimization Model -- 4 Results and Validation -- 5 Conclusion -- References -- Comparability of Water Infrastructure Resilience of Different Urban Structures -- 1 Introduction -- 2 Related Work -- 3 Materials and Methods -- 3.1 Resilience Assessment -- 3.2 Comparability of Resilience -- 3.3 Real-World Sample WDSs -- 4 Results -- 5 Discussion -- References -- Uncertainty in Production -- Dealing with Uncertainties in Fatigue Strength Using Deep Rolling -- 1 Introduction -- 2 Materials and Methods -- 3 Results and Discussions -- 4 Conclusions and Recommendations -- References -- Investigation on Tool Deflection During Tapping -- 1 Introduction -- 2 Effect of Tapping Tool Deflection on Thread Geometry -- 3 Model for Determining Tool Deflection During Tapping -- 3.1 Model Description -- 3.2 Model Calibration -- 3.3 Experimental Model Validation -- 4 Model Framework -- 5 Summary and Outlook -- References -- How to Predict the Product Reliability Confidently and Fast with a Minimum Number of Samples in the Wöhler Test -- 1 Introduction -- 2 Results -- 3 General Structure of Lifetime Models -- 4 Proposal for an Efficient Test Procedure for the Determination of Wöhler Curves. , 4.1 Research on the Test Conduction of Wöhler Tests -- 4.2 Prior Knowledge of the Wöhler Curve Parameters -- 4.3 Derivation of an Efficient Test Conduction -- 5 Example of Increasing the Efficiency of Costs and Time When Conducting Wöhler Tests -- 5.1 Data Basis -- 5.2 Evaluation Taking Prior Knowledge into Account -- 5.3 Concluions -- 6 Outlook -- References -- Tuning and Emulation of Mechanical Characteristics - Tunable Mounts and a Mechanical Hardware-in-the-Loop Approach for More Efficient Research and Testing -- 1 Introduction -- 1.1 Uncertainties in Early Phases of the Product Development -- 1.2 Smart Dynamic Testing -- 2 Active Dynamic Stiffness Emulation by the Mechanical Hardware-in-the-Loop Approach -- 2.1 The Mechanical Hardware-in-the-Loop (mHIL) System -- 2.2 Test Setup and Test Cases -- 2.3 Test Results -- 3 Discussion -- 4 Conclusion -- References -- Identifying and Mastering Legal Uncertainty Concerning Autonomous Systems -- 1 Product Compliance -- 2 Categories of Legal Uncertainty -- 2.1 Legal Framework Is Applicable -- 2.2 Legal Framework Is not Applicable: True Legal Uncertainty -- 3 Solutions -- 3.1 Product Compliance Management System -- 3.2 Risk-Based New Regulation for Artificial Intelligence -- 4 Conclusions -- References -- Uncertainty Quantification -- Identification of Imprecision in Data Using -Contamination Advanced Uncertainty Model -- 1 Introduction -- 1.1 Literature Status and History -- 2 Uncertainty -- 2.1 Interpretation of Lower and Upper Previsions -- 2.2 Classification of Uncertainty -- 2.3 Probability Under Different Conditions-Travelling to Work -- 2.4 Probability Under Different Conditions-Diagnosis and Treatment -- 2.5 Probability Under Different Conditions-Clutch Design -- 3 -Contamination Model -- 3.1 Definition -- 3.2 Rationale -- 3.3 Imprecision Identification-Method I. , 3.4 Imprecision Identification-Method II -- 4 Numerical Example -- 4.1 Chocolate Production Problem -- 4.2 Clutch Design Problem -- 5 Conclusion -- References -- Forward vs. Bayesian Inference Parameter Calibration: Two Approaches for Non-deterministic Parameter Calibration of a Beam-Column Model -- 1 Introduction -- 2 System Description -- 3 Mathematical Model of the Active Beam-Column -- 4 Model Parameter Calibration Approaches -- 4.1 Forward Parameter Calibration -- 4.2 Bayesian Inference Parameter Calibration -- 4.3 Comparison of Calibration Results -- 5 Conclusion -- References -- Surrogate Model-Based Uncertainty Quantification for a Helical Gear Pair -- 1 Introduction -- 2 Evaluation of NVH Performance -- 3 Numerical Methods for Uncertainty Quantification -- 3.1 Gaussian Process Regression -- 3.2 Generalized Polynomial Chaos Expansion -- 3.3 Sampling Methods -- 3.4 Sensitivity Analysis -- 4 Application of UQ Methods in Transmission Design -- 4.1 Analysis with Two Uncertain Parameters -- 4.2 Analysis with Five Uncertain Parameters -- 5 Conclusion -- References -- Approach to Assess Basic Deterministic Data and Model Form Uncertaint in Passive and Active Vibration Isolation -- 1 Introduction to Data and Model Form Uncertainty -- 2 Analytical Model -- 2.1 Vibration Excitation and Responses -- 2.2 Time Domain -- 2.3 Frequency Domain -- 3 Experimental Test Setup -- 4 Experimental Models -- 4.1 Excitation -- 4.2 Stiffness -- 4.3 Damping -- 4.4 Frequency Response Estimation and Coherence -- 5 Deterministic Uncertainty Measures -- 5.1 Measurement and Data Uncertainty -- 5.2 Model Form Uncertainty -- 6 Conclusion -- References -- Reconstructing Stress Resultants in Wind Turbine Towers Based on Strain Measurements -- 1 Introduction -- 2 Modelling Uncertainty in Strain Measurements -- 2.1 Prior Probabilistic Model of the Measurement Uncertainty. , 2.2 Bayesian Updating of the Measurement Uncertainty -- 3 Reconstructing Stress Resultants in Wind Turbine Towers -- 3.1 Inverse Mechanical Model (Relating a Strain State to Stress Resultants) -- 3.2 Probabilistic Inverse Mechanical Model -- 4 Numerical Example -- 5 Summary and Concluding Remarks -- References -- Mastering Uncertain Operating Conditions in the Development of Complex Machine Elements by Validation Under Dynamic Superimposed Operating Conditions -- 1 Introduction -- 2 Approach -- 2.1 Model Representation - Bringing the Application to the Laboratory -- 2.2 Paraffin Wax Phase Change Actuators for Detuning -- 2.3 Evaluation of Detuned Behavior -- 2.4 Backlash Free High-Load Bearing -- 2.5 Test Bench -- 2.6 Evaluation via AI -- 3 Application -- 3.1 Test Procedure -- 3.2 Exemplary Results -- 4 Conclusion -- References -- On Uncertainty, Decision Values and Innovation -- 1 Introduction -- 2 Decision Analytical Formulation -- 3 Decision Value and Technology Readiness -- 4 Decision Value Forecasting -- 4.1 Exemplary Study of Decision Value Forecasting -- 5 Summary and Conclusions -- References -- Assessment of Model Uncertainty in the Prediction of the Vibroacoustic Behavior of a Rectangular Plate by Means of Bayesian Inference -- 1 Introduction -- 2 Experimental and Finite Element Models -- 3 Probabilistic Parameter Calibration by Means of Bayesian Inference -- 4 Calibration Results and Assessment of the Model Uncertainty -- 5 Conclusions -- References -- Optimization Under Uncertainty -- Detection of Model Uncertainty in the Dynamic Linear-Elastic Model of Vibrations in a Truss -- 1 Introduction -- 2 Model Equations of Transient Linear Elasticity and Their Discretization -- 3 Lamé-Parameter Estimation and the Optimal Experimental Design Problem -- 3.1 Derivative and Adjoint Computation -- 3.2 Computational Remarks. , 4 Detection of Uncertainty in Dynamic Models.
    Additional Edition: Print version: Pelz, Peter F. Uncertainty in Mechanical Engineering Cham : Springer International Publishing AG,c2021 ISBN 9783030772550
    Language: English
    Keywords: Electronic books.
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  • 8
    Online Resource
    Online Resource
    Cham :Springer International Publishing AG,
    UID:
    almahu_9949320098802882
    Format: 1 online resource (483 pages)
    ISBN: 9783030783549
    Series Statement: Springer Tracts in Mechanical Engineering Ser.
    Note: Intro -- Preface -- Acknowledgements -- Contents -- 1 Introduction -- 1.1 Motivation -- 1.2 Holistic Control of Uncertainty over the Phases of the Product Life Cycle -- 1.3 Components are Represented in Models -- 1.4 Data and Data Sources -- 1.5 Component Structures -- 1.6 Sustainable Systems Design-The Extended Motivation for This Book -- 1.7 Outlook on the Following Book Structure -- References -- 2 Types of Uncertainty -- 2.1 Data Uncertainty -- 2.1.1 Introduction -- 2.1.2 Stochastic Data Uncertainty -- 2.1.3 Incertitude -- 2.2 Model Uncertainty -- 2.2.1 Functional Relations, Scope and Complexity of Mathematical Models -- 2.2.2 Approaches to Detect, Quantify, and Master Model Uncertainty -- 2.3 Structural Uncertainty -- References -- 3 Our Specific Approach on Mastering Uncertainty -- 3.1 Beyond Existing Approaches -- 3.2 Uncertainty Propagation Through Process Chains -- 3.3 Five Complementary Methods for Mastering Uncertainty in Process Chains -- 3.4 Time-Variant, Dynamic and Active Processes -- 3.5 Strategies for Mastering Uncertainty-Robustness, Flexibility, Resilience -- 3.6 Exemplary Technical System Mastering Uncertainty -- 3.6.1 Modular Active Spring-Damper System -- 3.6.2 Active Air Spring -- 3.6.3 3D Servo Press -- References -- 4 Analysis, Quantification and Evaluation of Uncertainty -- 4.1 Identification of Uncertainty During Modelling of Technical Processes -- 4.1.1 Analysis of Data Uncertainty Using the Example of Passive and Active Vibration Isolation -- 4.1.2 Bayesian Inference Based Parameter Calibration for a Mathematical Model of a Load-Bearing Structure -- 4.1.3 Model-Based Analysis of Uncertainty in Chained Machining Processes -- 4.2 Data-Induced Conflicts -- 4.2.1 Dealing with Data-Induced Conflicts in Technical Systems -- 4.2.2 Data-Induced Conflicts for Wear Detection in Hydraulic Systems. , 4.2.3 Fault Detection in a Structural System -- 4.3 Analysis, Quantification and Evaluation of Model Uncertainty -- 4.3.1 Detection of Model Uncertainty via Parameter Estimation and Optimum Experimental Design -- 4.3.2 Detection of Model Uncertainty in Mathematical Models of the 3D Servo Press -- 4.3.3 Assessment of Model Uncertainty for the Modular Active Spring-Damper System -- 4.3.4 Model Uncertainty in Hardware-in-the-loop Tests -- 4.3.5 Identification of Model Uncertainty in the Development of Adsorption Based Hydraulic Accumulators -- 4.3.6 Uncertainty Scaling-Propagation from a Real Model to a Full-Scale System -- 4.3.7 Improvement of Surrogate Models Using Observed Data -- 4.3.8 Uncertainty Quantification with Estimated Distribution of Input Parameters -- 4.4 Representation and Visualisation of Uncertainty -- 4.4.1 Ontology-Based Information Model -- 4.4.2 Visualisation of Geometric Uncertainty in CAD Systems -- 4.4.3 Digital Twin of Load Carrying Structures for the Mastering of Uncertainty -- References -- 5 Methods and Technologies for Mastering Uncertainty -- 5.1 Technical and Legal Requirements for Mastering Uncertainty -- 5.1.1 `Just Good Enough' Versus `as Good as It Gets': Negotiating Specifications in a Conflict of Interest of the Stakeholders -- 5.1.2 Technical Specification -- 5.1.3 Product Safety Requirements for Innovative Products -- 5.1.4 Legal Uncertainty and Autonomous Manufacturing Processes -- 5.1.5 Optimisation Methods and Legal Obligations -- 5.1.6 Linguistic Analysis of Technical Standards to Identify Uncertain Language Use -- 5.1.7 From Risk to Uncertainty-New Logics of Project Management -- 5.2 Product Design Under Uncertainty -- 5.2.1 The Method of Uncertainty Analysis and Evaluation: UMEA -- 5.2.2 Mastering Uncertainty in Product Development. , 5.2.3 Methodical Uncertainty Consideration in Technical Process Modelling -- 5.2.4 Conflicting Objectives in the Determination of Process and Component Control -- 5.2.5 Estimation of Surrogate Models -- 5.2.6 Density and Quantile Estimation in Simulation Models -- 5.2.7 Mastering Uncertainty in Customer-Integrated Change Management -- 5.3 Mastering Propagated Uncertainty in Process Chains -- 5.3.1 Uncertainty Propagation in a Forming and Machining Process Chain -- 5.3.2 Closed-Loop Control of Product Stiffness and Geometry -- 5.3.3 Controlled Partial Post-compaction of Sintered Bevel Gears -- 5.3.4 Forming Integration of Functional Materials in Load-Bearing Structures and Machine Elements -- 5.3.5 Process Controlling During the Production of Smart Structures -- 5.3.6 Process-Integrated Calibration of Smart Structures -- 5.4 Semi-active and Active Process Manipulation -- 5.4.1 Control of Press Stiffness -- 5.4.2 State Control of Combined Roller and Plain Bearings -- 5.4.3 Development of a Sensor-Integrated Compensation Chuck for Semi-active Control of the Tapping Process -- 5.4.4 Shock Absorber with Integrated Hydraulic Vibration Absorber to Improve Driving Dynamics -- 5.4.5 Active Air Spring for Vibration Reduction in Vehicle Chassis -- 5.4.6 Vibration Attenuation in Beam Truss Structures Via (Semi-)active Piezoelectric Shunt-Damping -- 5.4.7 Active Buckling Control of Compressively Loaded Beam-Columns and Trusses -- 5.4.8 Load Redistribution Via Semi-active Guidance Elements in a Kinematic Structure -- References -- 6 Strategies for Mastering Uncertainty -- 6.1 Robustness -- 6.1.1 Robust Topology Optimisation of Truss Structures -- 6.1.2 Optimal Actuator Design and Placement -- 6.1.3 Mathematical Optimisation in Robust Product Design -- 6.1.4 Quantified Programs -- 6.1.5 Mastering of Disturbing Influences in Early Phases of Product Development. , 6.1.6 Uncertainty-Based Product Design in Robust Design -- 6.1.7 Non-linear Robust Closed-Loop Control of Presses with Geometric Singularities -- 6.1.8 Mastering Uncertainty in Tapping and Reaming by Robust Tools and Processes -- 6.2 Flexibility -- 6.2.1 Total Flexibility in Forming Technology -- 6.3 Resilience of Technical Systems -- 6.3.1 Resilience as a Concept to Master Uncertainty -- 6.3.2 Mastering Uncertainty in Engineering Design by Adaptive Resilience -- 6.3.3 Human Factors in Resilient Socio-Technical Systems -- 6.3.4 Truss Topology Optimisation Under Aspects of Resilience -- 6.3.5 Optimal Design of Resilient Systems on the Example of Water Supply Systems -- 6.3.6 Application of Resilience Metrics to the Fluid Dynamic Vibration Absorber in Drop Tests -- 6.3.7 Concept of a Resilient Process Chain to Control Uncertainty of a Hydraulic Actuator -- 6.3.8 Experimental Evaluation of Resilience Metrics in a Fluid System -- References -- 7 Outlook -- 7.1 Towards the Complete Picture -- 7.2 Future of Mastering Uncertainty -- 7.2.1 Robustness -- 7.2.2 Flexibility -- 7.2.3 Resilience -- 7.3 Final Remarks -- References -- 8 Correction to: Mastering Uncertainty in Mechanical Engineering -- Correction to: P. Pelz et al. (eds.), Mastering Uncertainty in Mechanical Engineering, Springer Tracts in Mechanical Engineering, https://doi.org/10.1007/978-3-030-78354-9 -- Appendix Glossary.
    Additional Edition: Print version: Pelz, Peter F. Mastering Uncertainty in Mechanical Engineering Cham : Springer International Publishing AG,c2021 ISBN 9783030783532
    Language: English
    Keywords: Electronic books.
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  • 9
    Book
    Book
    Düsseldorf : VDI-Verl.
    UID:
    gbv_01949694X
    Format: VIII,135 S , Ill., graph. Darst
    Series Statement: Fortschritt-Berichte VDI 229
    Note: Zugl.: Hannover, Univ., Diss., 1991
    Language: German
    Keywords: Blechumformen ; Bruchmechanik
    Author information: Groche, Peter 1961-
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  • 10
    UID:
    kobvindex_HPB1255184124
    Format: 1 online resource (xi, 308 pages) : , illustrations (some color).
    ISBN: 9783030772567 , 303077256X , 3030772551 , 9783030772550 , 9783030772574 , 3030772578
    Series Statement: Lecture notes in mechanical engineering,
    Content: This open access book reports on methods and technologies to describe, evaluate and control uncertainty in mechanical engineering applications. It brings together contributions by engineers, mathematicians and legal experts, offering a multidisciplinary perspective on the main issues affecting uncertainty throughout the complete system lifetime, which includes process and product planning, development, production and usage. The book is based on the proceedings of the 4th International Conference on Uncertainty in Mechanical Engineering (ICUME 2021), organized by the Collaborative Research Center (CRC) 805 of the TU Darmstadt, and held online on June 7-8, 2021. All in all, it offers a timely resource for researchers, graduate students and practitioners in the field of mechanical engineering, production engineering and engineering optimization.
    Note: Includes author index.
    Additional Edition: Printed edition: 9783030772550
    Additional Edition: Printed edition: 9783030772574
    Language: English
    Keywords: Electronic books. ; Electronic books. ; Conference papers and proceedings.
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