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Vibration problems are commonly encountered in a wide range of scientific and technological domains, such as physics, applied mathematics and engineering. In these areas, powerful methods of numerical, semi-analytical and soft computing/machine intelligence are being used to solve problems.
These edited reference texts bring together leading researchers in the field of vibrations, focusing on those who use and develop computational and analytical techniques to solve problems easily and efficiently. Covering the most recent computational and theoretical trends in the field, the books provide a state-of-the-art treatment of different mathematical theories of vibration, numerical simulations, machine intelligence techniques and physical experiments with computational investigations, as well as their various engineering, biological and science applications.
The first of two volumes, this book discusses numerical and semi-analytical methods to be used in solving various vibration problems. It is an invaluable guide for graduate and postgraduate students, teachers and researchers in colleges, universities and industries in fields such as applied mathematics, physics, mechanical, civil, aerospace, electrical, nuclear, robotics, and other sciences. It will also benefit academics, practitioners and consultants in the areas of science and engineering related to vibration problems.
S. Chakraverty is Professor in the Department of Mathematics at National Institute of Technology, Rourkela, Odisha, India. He is also the author of Fuzzy Arbitrary Order System: Fuzzy Fractional Differential Equations and Applications and 24 other books.
Francesco Tornabene is Assistant Professor in Mechanics of Solids and Structures, University of Salento, Italy.
Professor N. Reddy is Distinguished Professor, Regents' Professor and inaugural holder of the Oscar S. Wyatt Endowed Chair in Mechanical Engineering at Texas A&M University, College Station, Texas, USA.
Chapter 1 - Introduction to Analytical and Numerical ModelingChapter 2 - Arbitrary order vibrating systemsChapter 3 - Vibration of beams, plates, and shellsChapter 4 - Vibration of micro/nano structural membersChapter 5 - Vibration of FGM and composite structuresChapter 6 - Vibration of buildings, bridges, towers and other civil engineering structuresChapter 7 - Vibration of Marine and aero/space structuresChapter 8 - Vehicle dynamicsChapter 9 - Vibration in coupled systemsChapter 10 - Inverse vibration problems
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