Convex Models of Uncertainty in Applied Mechanics

Convex Models of Uncertainty in Applied Mechanics PDF

Author: Y. Ben-Haim

Publisher: Elsevier

Published: 2013-10-22

Total Pages: 240

ISBN-13: 1483290972

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Recognition of the need to introduce the ideas of uncertainty in a wide variety of scientific fields today reflects in part some of the profound changes in science and engineering over the last decades. Nobody questions the ever-present need for a solid foundation in applied mechanics. Neither does anyone question nowadays the fundamental necessity to recognize that uncertainty exists, to learn to evaluate it rationally, and to incorporate it into design.This volume provides a timely and stimulating overview of the analysis of uncertainty in applied mechanics. It is not just one more rendition of the traditional treatment of the subject, nor is it intended to supplement existing structural engineering books. Its aim is to fill a gap in the existing professional literature by concentrating on the non-probabilistic model of uncertainty. It provides an alternative avenue for the analysis of uncertainty when only a limited amount of information is available. The first chapter briefly reviews probabilistic methods and discusses the sensitivity of the probability of failure to uncertain knowledge of the system. Chapter two discusses the mathematical background of convex modelling. In the remainder of the book, convex modelling is applied to various linear and nonlinear problems. Uncertain phenomena are represented throughout the book by convex sets, and this approach is referred to as convex modelling.This book is intended to inspire researchers in their goal towards further growth and development in this field.

Uncertainty

Uncertainty PDF

Author: David Lindley

Publisher: Anchor

Published: 2008-02-12

Total Pages: 274

ISBN-13: 0307389480

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The gripping, entertaining, and vividly-told narrative of a radical discovery that sent shockwaves through the scientific community and forever changed the way we understand the world. Werner Heisenberg’s “uncertainty principle” challenged centuries of scientific understanding, placed him in direct opposition to Albert Einstein, and put Niels Bohr in the middle of one of the most heated debates in scientific history. Heisenberg’s theorem stated that there were physical limits to what we could know about sub-atomic particles; this “uncertainty” would have shocking implications. In a riveting and lively account, David Lindley captures this critical episode and explains one of the most important scientific discoveries in history, which has since transcended the boundaries of science and influenced everything from literary theory to television.

Beyond Uncertainty

Beyond Uncertainty PDF

Author: David C. Cassidy

Publisher: Bellevue Literary Press

Published: 2010-04-01

Total Pages: 480

ISBN-13: 1934137324

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"Exhaustively detailed yet eminently readable, this is an important book."Publishers Weekly, starred review "Cassidy does not so much exculpate Heisenberg as explain him, with a transparency that makes this biography a pleasure to read."Los Angeles Times "Well crafted and readable . . . [Cassidy] provides a nuanced and compelling account of Heisenberg's life."The Harvard Book Review In 1992, David C. Cassidy’s groundbreaking biography of Werner Heisenberg, Uncertainty, was published to resounding acclaim from scholars and critics. Michael Frayn, in the Playbill of the Broadway production of Copenhagen, referred to it as one of his main sources and “the standard work in English.” Richard Rhodes (The Making of the Atom Bomb) called it “the definitive biography of a great and tragic physicist,” and the Los Angeles Times praised it as “an important book. Cassidy has sifted the record and brilliantly detailed Heisenberg’s actions.” No book that has appeared since has rivaled Uncertainty, now out of print, for its depth and rich detail of the life, times, and science of this brilliant and controversial figure of twentieth-century physics. Since the fall of the Soviet Union, long-suppressed information has emerged on Heisenberg’s role in the Nazi atomic bomb project. In Beyond Uncertainty, Cassidy interprets this and other previously unknown material within the context of his vast research and tackles the vexing questions of a scientist’s personal responsibility and guilt when serving an abhorrent military regime. David C. Cassidy is the author of J. Robert Oppenheimer and the American Century, Einstein and Our World, and Uncertainty.

Mastering Uncertainty in Mechanical Engineering

Mastering Uncertainty in Mechanical Engineering PDF

Author: Peter F. Pelz

Publisher: Springer Nature

Published: 2021-10-11

Total Pages: 483

ISBN-13: 3030783545

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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.

The Physical Principles of the Quantum Theory

The Physical Principles of the Quantum Theory PDF

Author: Werner Heisenberg

Publisher: Courier Corporation

Published: 2013-04-15

Total Pages: 208

ISBN-13: 0486318419

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Nobel Laureate discusses quantum theory, uncertainty, wave mechanics, work of Dirac, Schroedinger, Compton, Einstein, others. "An authoritative statement of Heisenberg's views on this aspect of the quantum theory." — Nature.

String Theory For Dummies

String Theory For Dummies PDF

Author: Andrew Zimmerman Jones

Publisher: John Wiley & Sons

Published: 2009-11-16

Total Pages: 387

ISBN-13: 047046724X

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A clear, plain-English guide to this complex scientific theory String theory is the hottest topic in physics right now, with books on the subject (pro and con) flying out of the stores. String Theory For Dummies offers an accessible introduction to this highly mathematical "theory of everything," which posits ten or more dimensions in an attempt to explain the basic nature of matter and energy. Written for both students and people interested in science, this guide explains concepts, discusses the string theory's hypotheses and predictions, and presents the math in an approachable manner. It features in-depth examples and an easy-to-understand style so that readers can understand this controversial, cutting-edge theory.

Uncertainty

Uncertainty PDF

Author: David C. Cassidy

Publisher: W. H. Freeman

Published: 1993-08-15

Total Pages: 688

ISBN-13: 9780716725039

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Werner Heisenberg's genius and his place at the forefront of modern physics are unquestioned. His decision to remain in Germany throughout the Third Reich and his role in Hitler's atomic bomb project are still topics of heated debate. UNCERTAINTY is David Cassidy's compelling portrait of this brilliant, ambitious, and controversial scientist. It is the definitive Heisenberg biography, as well as a striking evocation of the development of quantum physics, the rise of Nazism, and the dawn of the atomic age.

Uncertainty Principle of Werner Heisenberg

Uncertainty Principle of Werner Heisenberg PDF

Author: IntroBooks Team

Publisher: IntroBooks

Published:

Total Pages:

ISBN-13:

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Quantum mechanics is widely considered to be the scientific theory that is one's best choice for the fundamental and universal explanation of the physical world. The conceptual structure used in this theory varies dramatically from that of classical physics. After all, the transition from classical to quantum physics is a true revolution in people's understanding of the physical universe. One striking feature of the distinction between classical and quantum physics is that while classical mechanics assumes that precise simultaneous values can be assigned to all physical quantities, quantum mechanics, on the other hand, rejects this possibility, the classic example being the momentum and position of a particle.

University Physics

University Physics PDF

Author: OpenStax

Publisher:

Published: 2016-11-04

Total Pages: 622

ISBN-13: 9781680920451

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University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale.