Modeling and Computation in Vibration Problems, Volume 1

Numerical and semi-analytical methods
S Chakraverty, Francesco Tornabene, J N Reddy


Vibration problems are commonly encountered in a wide range of scientific and technological domains. Covering the most recent computational and theoretical trends in the field, these 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.

Key Features:

  • Presents a self-contained, up-to-date review of the topic
  • Models real life vibration problems
  • Introduces new concepts of various computing techniques to handle different vibration problems
  • Uses examples to illustrate concepts and algorithms

About Editors

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 16 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.

Table of Contents

Chapter 1 – Introduction to Analytical and Numerical Modeling
Chapter 2 - Arbitrary order vibrating systems
Chapter 3 - Vibration of beams, plates, and shells
Chapter 4 - Vibration of micro/nano structural members
Chapter 5 - Vibration of FGM and composite structures
Chapter 6 - Vibration of buildings, bridges, towers and other civil engineering structures
Chapter 7 – Vibration of Marine and aero/space structures
Chapter 8 - Vehicle dynamics
Chapter 9 - Vibration in coupled systems
Chapter 10 - Inverse vibration problems


Hardback ISBN: 9780750334815

Ebook ISBN: 9780750334839

Publisher: Institute of Physics Publishing


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