Vibrations and Stability: Advanced Theory, Analysis, and Tools

ISBN-13: 9783030680473 / Angielski / Miękka / 2022 / 552 str.

Jon Juel Thomsen

Opis

'Vibrations and Stability' is aimed at third to fifth-year undergraduates and post­ graduates in mechanical or structural engineering. The book covers a range of subjects relevant for a one-or two-semester course in advanced vibrations and stability. Also, it can be used for self-study, e. g. , by students on master or PhD projects, researchers, and professional engineers. The focus is on nonlinear phe­ nomena and tools, covering the themes of local perturbation analysis (Chaps. 3 and 4), bifurcation analysis (Chap. 5), global analysis I chaos theory (Chap. 6), and special high-frequency effects (Chap. 7). The ground for nonlinear analysis is laid with a brief summary of elementary linear vibration theory (Chap. 1), and a treatment of differential eigenvalue problems in some depth (Chap. 2). Also, there are exercise problems and extensive bibliographic references to serve the needs of both students and more experienced users; major exercises for course-work; and appendices on numerical simulation, standard mathematical formulas, vibration properties of basic structural elements, and properties of engineering materials. This Second Edition is a revised and expanded version of the first edition (pub­ lished by McGraw-Hill in 1997), reflecting the experience gathered during its now six years in service as a classroom or self-study text for students and researchers. The second edition contains a major new chapter (7), three new appendices, many new exercise problems, more than 120 new and updated bibliographic references, and hundreds of minor updates, corrections, and clarifications.

Spis treści

Vibration Basics.- Eigenvalue Problems of Vibrations And Stability.- Nonlinear Vibrations: Classical Local Theory.- Nonlinear Multiple-DOF Systems: Local Analysis.- Bifurcation Analysis.-. Chaotic Vibrations.- Special Effects of High-Frequency Excitation.

O autorze

PhD (1988) and dr.techn. (2003) in mechanical vibrations and dynamics; associate professor at the Technical University of Denmark, Dept. of Mechanical Engineering. Author of 100+ peer reviewed scienti­fic publications, covering many aspects of theoretical and experimental vibration analysis, in particular nonlinear effects and analysis. 30+ years of university teaching in advanced and basic vibration theory, dynamics, computer modeling, and experimental mechanics. Fundamental and applied research with a special focus on the description, analysis and synthesis of nonlinear phenomena, e.g. vibration suppression using nonlinearity, object transport using vibrations, non-trivial effects of high-frequency excitation, deterministic chaos, wave propagation in periodic media, discontinuous processes (e.g. vibro-impact, friction, clearance), fluid flow affected vibrations, vibration analysis for non-destructive testing and structural health monitoring, and nonlinear modal interaction; see more on www.staff.dtu.dk/jjth.

Blurb

This book ties together classical and modern topics of advanced vibration analysis in an interesting and lucid manner. It is intended for advanced students, university teachers, and researchers in mechanical/structural engineering dynamics, and professional engineers aiming at strengthening their theoretical foundation. Assuming background knowledge in elementary vibrations, it provides a set of useful tools for understanding and analyzing the more complex dynamical phenomena that can be met in engineering and scientific practice. Summarizing first basic linear vibration theory, it progresses over various types of nonlinearity and nonlinear interaction to bifurcation analysis, chaotic vibrations, and special high-frequency effects. It trains the student to analyze simple models, recognize nonlinear phenomena, and work with advanced tools such as perturbation analysis and bifurcation analysis. Focusing attention on a limited number of simple, generic models, the book covers the qualitative behavior of a wide variety of mechanical/structural systems; the key examples dealt with can be fabricated as simple physical models for classroom demonstrations. Explaining theory in terms of relevant examples from real systems, this book is user-friendly and meets the increasing interest in, and significance of, nonlinear dynamics in mechanical/structural engineering. This 3rd edition adds many new topics, sections, figures, exercise problems, literature references, and other updates; it is backed up by a separately available booklet with worked out solutions to exercise problems.