© 2017

Finite Element Analysis of Rotating Beams

Physics Based Interpolation


Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Ranjan Ganguli
    Pages 1-61
  3. Ranjan Ganguli
    Pages 63-88
  4. Ranjan Ganguli
    Pages 89-105
  5. Ranjan Ganguli
    Pages 107-119
  6. Ranjan Ganguli
    Pages 121-142
  7. Ranjan Ganguli
    Pages 143-169
  8. Ranjan Ganguli
    Pages 171-204
  9. Ranjan Ganguli
    Pages 205-227
  10. Ranjan Ganguli
    Pages 229-250
  11. Back Matter
    Pages 251-283

About this book


This book addresses the solution of rotating beam free-vibration problems using the finite element method. It provides an introduction to the governing equation of a rotating beam, before outlining the solution procedures using Rayleigh-Ritz, Galerkin and finite element methods. The possibility of improving the convergence of finite element methods through a judicious selection of interpolation functions, which are closer to the problem physics, is also addressed.
The book offers a valuable guide for students and researchers working on rotating beam problems – important engineering structures used in helicopter rotors, wind turbines, gas turbines, steam turbines and propellers – and their applications. It can also be used as a textbook for specialized graduate and professional courses on advanced applications of finite element analysis.


Finite element method Rotating beam Computational method Low order model Numerical method

Authors and affiliations

  1. 1.Aerospace EngineeringIndian Institute of ScienceBangaloreIndia

About the authors

Prof. Ranjan Ganguli obtained his M.S. and PhD in Aerospace Engineering from the University of Maryland, College Park, in 1991 and 1994, respectively, and his B.Tech degree in Aerospace Engineering from the Indian Institute of Technology, Kharagpur, in 1989. 

Following his PhD, he worked at the Alfred Gessow Rotorcraft Center of the University of Maryland as Assistant Research Scientist until 1997 on projects on rotorcraft health monitoring and vibratory load validation for the Naval Surface Warfare Center and United Technology Research Center, respectively. He also worked at the GE Research Lab in Schenectady, New York, and at Pratt and Whitney, East Hartford, Connecticut, from 1997 to 2000. He joined the Aerospace Engineering department of the Indian Institute of Science, Bangalore, as Assistant Professor in July 2000. He was promoted to Associate Professor in 2005 and to Full Professor in 2009. He is currently the Satish Dhawan Chair Professor at the Indian Institute of Science, Bangalore. He has held visiting positions at TU Braunschweig, University of Ulm and Max Planck Institute of Metal Research, Stuttgart, in Germany; University Paul Sabatier and Institute of Mathematics, in Toulouse, France; Konkuk University in South Korea, the University of Michigan, Ann Arbor, in USA, and the Nanyang Technological University, Singapore.

Prof. Ganguli's research interests are in helicopter aeromechanics, aeroelasticity, structural dynamics, composite and smart structures, design optimization, finite element methods and health monitoring. He has published 178 articles in refereed journals and over 100 conference papers.  He was awarded the American Society of Mechanical Engineers (ASME) best paper award in 2001, the Golden Jubilee award of the Aeronautical Society of India in 2002, the Alexander von Humboldt fellowship in 2007 and the Fulbright Senior Research fellowship in 2010. Prof. Ganguli is a Fellow of the ASME, a Fellow of the Royal Aeronautical Society, UK, a Fellow of the Indian National Academy of Engineering, a Fellow of the Aeronautical Society of India, an Associate Fellow of the American Institute of Aeronautics and Astronautics and a Senior Member of the Institute of Electrical and Electronic Engineers (IEEE). 

He has taught courses on flight and space mechanics, engineering optimization, helicopter dynamics, aircraft structures, structural mechanics, aeroelasticity and navigation. He has supervised the thesis of 15 PhD and 35 Master’s degree students. He has written books on “Engineering Optimization” and “Gas Turbine Diagnostics”, both published by CRC Press, New York, and books titled “Structural Damage Detection using Genetic Fuzzy Systems” and “Smart Helicopter Rotors”,  published by Springer.

Bibliographic information

  • Book Title Finite Element Analysis of Rotating Beams
  • Book Subtitle Physics Based Interpolation
  • Authors Ranjan Ganguli
  • Series Title Foundations of Engineering Mechanics
  • Series Abbreviated Title Foundations Engineering Mechanics
  • DOI
  • Copyright Information Springer Science+Business Media Singapore 2017
  • Publisher Name Springer, Singapore
  • eBook Packages Engineering Engineering (R0)
  • Hardcover ISBN 978-981-10-1901-2
  • Softcover ISBN 978-981-10-9472-9
  • eBook ISBN 978-981-10-1902-9
  • Series ISSN 1612-1384
  • Series E-ISSN 1860-6237
  • Edition Number 1
  • Number of Pages XII, 283
  • Number of Illustrations 89 b/w illustrations, 19 illustrations in colour
  • Topics Machinery and Machine Elements
  • Buy this book on publisher's site
Industry Sectors
Chemical Manufacturing
Materials & Steel
Energy, Utilities & Environment
Oil, Gas & Geosciences


“This book provides an introduction to finite elements for rotating beam problems. … This book can be useful to engineers, graduate students and researchers working on rotating beam problems.” (V. Leontiev, zbMATH 1369.74001, 2017)