In the realm of engineering structures design, the inevitability of uncertainties poses a significant challenge. Uncertainty-Based Multidisciplinary Design and Optimization (UBMDO) stands out for its dual ability to precisely quantify the impact of uncertain variables and harness the potential of multidisciplinary design and optimization, thereby attracting considerable attention. From basic theory to advanced applications, this book helps readers achieve more efficient and reliable design optimization in complex systems through rich case studies and practical technical guidance.

The book systematically expounds the fundamental theories and methods of UBMDO, encompassing crucial techniques such as uncertainty modeling, sensitivity analysis, approximate modeling, and uncertainty-based optimization. It also introduces various uncertainty analysis methods, such as stochastic, non-probabilistic, and hybrid approaches, aiding readers in comprehending and managing uncertainty within systems. Through diverse practical engineering cases in fields like machinery, aerospace, and energy, it illustrates the specific application and implementation process of the UBMDO method. Rich graphics, algorithms, and simulation results augment the practicality and applicability of the theoretical knowledge. Furthermore, it explores in depth the future development trends and challenges of UBMDO, sparking innovative thinking and research interests among readers in this field.

Multidisciplinary Design Optimization of Complex Structures Under Uncertainty caters to a diverse audience: Engineers specializing in multidisciplinary design optimization are given the tools to master uncertainty management, and researchers in related fields will gain important theoretical insights and practical guidance in uncertainty analysis. Additionally, scholars and educators can utilize the book as a comprehensive resource for advanced courses, enabling students to grasp the latest UBMDO applications. Decision makers and managers handling complex systems can extract methods from the book, facilitating improved risk assessment, and strategic development through uncertainty-based optimization.

In the realm of engineering structures design, the inevitability of uncertainties poses a significant challenge. Uncertainty-Based Multidisciplinary Design and Optimization (UBMDO) stands out for its dual ability to precisely quantify the impact of uncertain variables and harness the potential of multidisciplinary design and optimization, thereby attracting considerable attention. From basic theory to advanced applications, this book helps readers achieve more efficient and reliable design optimization in complex systems through rich case studies and practical technical guidance.

The book systematically expounds the fundamental theories and methods of UBMDO, encompassing crucial techniques such as uncertainty modeling, sensitivity analysis, approximate modeling, and uncertainty-based optimization. It also introduces various uncertainty analysis methods, such as stochastic, non-probabilistic, and hybrid approaches, aiding readers in comprehending and managing uncertainty within systems. Through diverse practical engineering cases in fields like machinery, aerospace, and energy, it illustrates the specific application and implementation process of the UBMDO method. Rich graphics, algorithms, and simulation results augment the practicality and applicability of the theoretical knowledge. Furthermore, it explores in depth the future development trends and challenges of UBMDO, sparking innovative thinking and research interests among readers in this field.

Multidisciplinary Design Optimization of Complex Structures Under Uncertainty caters to a diverse audience: Engineers specializing in multidisciplinary design optimization are given the tools to master uncertainty management, and researchers in related fields will gain important theoretical insights and practical guidance in uncertainty analysis. Additionally, scholars and educators can utilize the book as a comprehensive resource for advanced courses, enabling students to grasp the latest UBMDO applications. Decision makers and managers handling complex systems can extract methods from the book, facilitating improved risk assessment, and strategic development through uncertainty-based optimization.

Fatigue failure of engineering materials and structures has long been a great challenge for structural integrity, reliability and safety in mechanical, civil and aerospace engineering. These failure mechanisms and their modeling are critical concerns for managing aging structures, and directly affect sustainability across society.

In this context, the fundamental theories and methods of fatigue failure of engineering materials and structures are discussed in detail. Fatigue damage accumulation, crack initiation and crack growth analysis are presented from materials to structures, deterministic to probabilistic fatigue, physics to data science, uniaxial to multiaxial fatigue, and extremely low cycle fatigue to very high cycle fatigue. The focus is on mechanical understanding and risk management for design, maintenance, and operation.

Some recent advancements include fatigue of additive manufactured (AM) metals and advanced materials, which could potentially transform fatigue analysis and offer new perspectives on fatigue failure mechanisms and reliability design. Both experimental supporting evidence and simulation benefits are demonstrated. It integrates recent developments in artificial intelligence with fatigue in AM metals and advanced materials. It provides case studies, and future research challenges for the fusion of fatigue physics modeling with data analytics, for graduate students and advanced practitioners.

Fatigue failure of engineering materials and structures has long been a great challenge for structural integrity, reliability and safety in mechanical, civil and aerospace engineering. These failure mechanisms and their modeling are critical concerns for managing aging structures, and directly affect sustainability across society.

In this context, the fundamental theories and methods of fatigue failure of engineering materials and structures are discussed in detail. Fatigue damage accumulation, crack initiation and crack growth analysis are presented from materials to structures, deterministic to probabilistic fatigue, physics to data science, uniaxial to multiaxial fatigue, and extremely low cycle fatigue to very high cycle fatigue. The focus is on mechanical understanding and risk management for design, maintenance, and operation.

Some recent advancements include fatigue of additive manufactured (AM) metals and advanced materials, which could potentially transform fatigue analysis and offer new perspectives on fatigue failure mechanisms and reliability design. Both experimental supporting evidence and simulation benefits are demonstrated. It integrates recent developments in artificial intelligence with fatigue in AM metals and advanced materials. It provides case studies, and future research challenges for the fusion of fatigue physics modeling with data analytics, for graduate students and advanced practitioners.

This book delves into structural reliability analysis across seven comprehensive chapters. Beginning with foundational methods and key definitions, it transitions into FORM-based formulations, such as the HL-RF method and its variants, with a focus on convergence control and stability enhancement. The subsequent chapters cover gradient methods and directional conjugate gradient formulations, addressing challenges like instability control and search direction vector adjustments. A novel optimization model for Most Probable Point (MPP) search in the original space for interval-based random variables is introduced, offering a cutting-edge approach to uncertainty optimization. The book concludes with second-order reliability analysis methods and forward-looking discussions on emerging analytical perspectives in the field.

In the realm of engineering structures design, the inevitability of uncertainties poses a significant challenge. Uncertainty-Based Multidisciplinary Design and Optimization (UBMDO) stands out for its dual ability to precisely quantify the impact of uncertain variables and harness the potential of multidisciplinary design and optimization, thereby attracting considerable attention. From basic theory to advanced applications, this book helps readers achieve more efficient and reliable design optimization in complex systems through rich case studies and practical technical guidance.

The book systematically expounds the fundamental theories and methods of UBMDO, encompassing crucial techniques such as uncertainty modeling, sensitivity analysis, approximate modeling, and uncertainty-based optimization. It also introduces various uncertainty analysis methods, such as stochastic, non-probabilistic, and hybrid approaches, aiding readers in comprehending and managing uncertainty within systems. Through diverse practical engineering cases in fields like machinery, aerospace, and energy, it illustrates the specific application and implementation process of the UBMDO method. Rich graphics, algorithms, and simulation results augment the practicality and applicability of the theoretical knowledge. Furthermore, it explores in depth the future development trends and challenges of UBMDO, sparking innovative thinking and research interests among readers in this field.

Multidisciplinary Design Optimization of Complex Structures Under Uncertainty caters to a diverse audience: Engineers specializing in multidisciplinary design optimization are given the tools to master uncertainty management, and researchers in related fields will gain important theoretical insights and practical guidance in uncertainty analysis. Additionally, scholars and educators can utilize the book as a comprehensive resource for advanced courses, enabling students to grasp the latest UBMDO applications. Decision makers and managers handling complex systems can extract methods from the book, facilitating improved risk assessment, and strategic development through uncertainty-based optimization.

In the realm of engineering structures design, the inevitability of uncertainties poses a significant challenge. Uncertainty-Based Multidisciplinary Design and Optimization (UBMDO) stands out for its dual ability to precisely quantify the impact of uncertain variables and harness the potential of multidisciplinary design and optimization, thereby attracting considerable attention. From basic theory to advanced applications, this book helps readers achieve more efficient and reliable design optimization in complex systems through rich case studies and practical technical guidance.

The book systematically expounds the fundamental theories and methods of UBMDO, encompassing crucial techniques such as uncertainty modeling, sensitivity analysis, approximate modeling, and uncertainty-based optimization. It also introduces various uncertainty analysis methods, such as stochastic, non-probabilistic, and hybrid approaches, aiding readers in comprehending and managing uncertainty within systems. Through diverse practical engineering cases in fields like machinery, aerospace, and energy, it illustrates the specific application and implementation process of the UBMDO method. Rich graphics, algorithms, and simulation results augment the practicality and applicability of the theoretical knowledge. Furthermore, it explores in depth the future development trends and challenges of UBMDO, sparking innovative thinking and research interests among readers in this field.

Multidisciplinary Design Optimization of Complex Structures Under Uncertainty caters to a diverse audience: Engineers specializing in multidisciplinary design optimization are given the tools to master uncertainty management, and researchers in related fields will gain important theoretical insights and practical guidance in uncertainty analysis. Additionally, scholars and educators can utilize the book as a comprehensive resource for advanced courses, enabling students to grasp the latest UBMDO applications. Decision makers and managers handling complex systems can extract methods from the book, facilitating improved risk assessment, and strategic development through uncertainty-based optimization.

Fatigue failure of engineering materials and structures has long been a great challenge for structural integrity, reliability and safety in mechanical, civil and aerospace engineering. These failure mechanisms and their modeling are critical concerns for managing aging structures, and directly affect sustainability across society.

In this context, the fundamental theories and methods of fatigue failure of engineering materials and structures are discussed in detail. Fatigue damage accumulation, crack initiation and crack growth analysis are presented from materials to structures, deterministic to probabilistic fatigue, physics to data science, uniaxial to multiaxial fatigue, and extremely low cycle fatigue to very high cycle fatigue. The focus is on mechanical understanding and risk management for design, maintenance, and operation.

Some recent advancements include fatigue of additive manufactured (AM) metals and advanced materials, which could potentially transform fatigue analysis and offer new perspectives on fatigue failure mechanisms and reliability design. Both experimental supporting evidence and simulation benefits are demonstrated. It integrates recent developments in artificial intelligence with fatigue in AM metals and advanced materials. It provides case studies, and future research challenges for the fusion of fatigue physics modeling with data analytics, for graduate students and advanced practitioners.

Fatigue failure of engineering materials and structures has long been a great challenge for structural integrity, reliability and safety in mechanical, civil and aerospace engineering. These failure mechanisms and their modeling are critical concerns for managing aging structures, and directly affect sustainability across society.

In this context, the fundamental theories and methods of fatigue failure of engineering materials and structures are discussed in detail. Fatigue damage accumulation, crack initiation and crack growth analysis are presented from materials to structures, deterministic to probabilistic fatigue, physics to data science, uniaxial to multiaxial fatigue, and extremely low cycle fatigue to very high cycle fatigue. The focus is on mechanical understanding and risk management for design, maintenance, and operation.

Some recent advancements include fatigue of additive manufactured (AM) metals and advanced materials, which could potentially transform fatigue analysis and offer new perspectives on fatigue failure mechanisms and reliability design. Both experimental supporting evidence and simulation benefits are demonstrated. It integrates recent developments in artificial intelligence with fatigue in AM metals and advanced materials. It provides case studies, and future research challenges for the fusion of fatigue physics modeling with data analytics, for graduate students and advanced practitioners.

This book delves into structural reliability analysis across seven comprehensive chapters. Beginning with foundational methods and key definitions, it transitions into FORM-based formulations, such as the HL-RF method and its variants, with a focus on convergence control and stability enhancement. The subsequent chapters cover gradient methods and directional conjugate gradient formulations, addressing challenges like instability control and search direction vector adjustments. A novel optimization model for Most Probable Point (MPP) search in the original space for interval-based random variables is introduced, offering a cutting-edge approach to uncertainty optimization. The book concludes with second-order reliability analysis methods and forward-looking discussions on emerging analytical perspectives in the field.