Georg Lindgren

Fatigue Prediction for Random Loads serves as a comprehensive treatise for methods for fatigue estimation and fatigue life prediction in randomly excited structural systems using the rainflow cycle counting method.Fatigue is an important mode of material degradation in structural components subjected to vibrations and a reliable estimation of their fatigue life span, and it is a key consideration in the design and development of such systems. This book uses advanced concepts of probability theory, random variables and random processes to develop spectral-based methods and formulae for predicting expected fatigue damage and expected fatigue life. The developments presented here bypass the need for a computationally expensive rainflow cycle counting that is usually adopted in time domain approaches.This book is aimed towards researchers and industry practitioners working in the intersectional areas of mechanics and applied mathematics and is expected to be particularly useful for applications on problems in the fields of wind engineering, offshore engineering, ship research and routing, aerospace engineering, automotive engineering and machine dynamics.

De statistiska vetenskaperna har varit representerade vid Lund universitet i mer än 120 år. Under namnet Statistik sedan 1902, under namnet Matematisk statistik sedan 1915. När Lunds Tekniska Högskola LTH startade sin verksamhet 1961 såg docenten Gunnar Blom till att matematisk statistik blev ett viktigt ämne även för ingenjörer. Georg Lindgren efterträdde Gunnar Blom som professor vid LTH och är nu professor emerius med nästan 65 års erfarenhet av ämnet. Boken är en personligt färgad berättelse som skildrar hur ett ämne, som med rätta kallas variationens vetenskap, har överlevt 1970-talets och senare tiders universitetsreformer, odlat vetenskapliga specialitéer inom sannolikhetsteori och statistik, och omsatt forskningen till konkreta verktyg i ett brett spektrum av samhällsnyttigheter. Den som söker ett idéhistoriskt perspektiv kan läsa boken som en rad exempel på hur vetenskapliga idéer, födda i en mycket speciell miljö, kan spridas till andra, till synes väsenskilda, verksamheter. Steget från slumpens inverkan på telefontrafik till så olika områden som extremväder och diagnos och uppföljning av ögonsjukdomar är kortare än man kanske föreställer sig.

Stochastic processes are indispensable tools for development and research in signal and image processing, automatic control, oceanography, structural reliability, environmetrics, climatology, econometrics, and many other areas of science and engineering. Suitable for a one-semester course, Stationary Stochastic Processes for Scientists and Engineers teaches students how to use these processes efficiently. Carefully balancing mathematical rigor and ease of exposition, the book provides students with a sufficient understanding of the theory and a practical appreciation of how it is used in real-life situations. Special emphasis is on the interpretation of various statistical models and concepts as well as the types of questions statistical analysis can answer.The text first introduces numerous examples from signal processing, economics, and general natural sciences and technology. It then covers the estimation of mean value and covariance functions, properties of stationary Poisson processes, Fourier analysis of the covariance function (spectral analysis), and the Gaussian distribution. The book also focuses on input-output relations in linear filters, describes discrete-time auto-regressive and moving average processes, and explains how to solve linear stochastic differential equations. It concludes with frequency analysis and estimation of spectral densities.With a focus on model building and interpreting the statistical concepts, this classroom-tested book conveys a broad understanding of the mechanisms that generate stationary stochastic processes. By combining theory and applications, the text gives students a well-rounded introduction to these processes. To enable hands-on practice, MATLAB® code is available online.

Intended for a second course in stationary processes, Stationary Stochastic Processes: Theory and Applications presents the theory behind the field’s widely scattered applications in engineering and science. In addition, it reviews sample function properties and spectral representations for stationary processes and fields, including a portion on stationary point processes.Features Presents and illustrates the fundamental correlation and spectral methods for stochastic processes and random fieldsExplains how the basic theory is used in special applications like detection theory and signal processing, spatial statistics, and reliability Motivates mathematical theory from a statistical model-building viewpointIntroduces a selection of special topics, including extreme value theory, filter theory, long-range dependence, and point processesProvides more than 100 exercises with hints to solutions and selected full solutions This book covers key topics such as ergodicity, crossing problems, and extremes, and opens the doors to a selection of special topics, like extreme value theory, filter theory, long-range dependence, and point processes, and includes many exercises and examples to illustrate the theory. Precise in mathematical details without being pedantic, Stationary Stochastic Processes: Theory and Applications is for the student with some experience with stochastic processes and a desire for deeper understanding without getting bogged down in abstract mathematics.