Dynamic Analysis of Rotating Systems and Applications

by Professor B.S. Prabhu & Professor A.S. Sekhar
published April 2008 • ISBN 0906522 34x • xiii + 392pp • 42.50

The rotor-bearing system of modern rotating machines constitutes a complex dynamic system. The challenging nature of rotordynamic problems have attracted many scientists and engineers whose investigations have contributed to the impressive progress in the study of rotating systems. With the advancement in high-speed machinery and increases in their power/weight ratio, the determination of the rotor dynamic characteristics through reliable mathematical models gain prime importance. The advancement in modern instrumentation and computational capabilities has helped in implementing simulation techniques of these complex models. Modern machinery is bound to fulfill increasing demands concerning durability as well as safety requirements. On-line condition monitoring strategies are becoming increasingly commonplace in a greater range of systems.

In the above context, the importance increases for more books on dynamic analysis of rotating systems giving information and knowledge which caters to the needs of under graduate/post graduate/research students. It is expected that not only the specialized students of Tribology, Machine dynamics, Maintenance Engineering but also students of Electrical Engineering specializations will benefit. Further, the coverage of rotating systems including condition monitoring aspects will aid many industries such as Power plants and Space and Defense research.

In this book the reader is given a complete understanding of rotor-bearing systems, with a primary goal of providing a sound introduction of rotating systems dynamics as well as advanced modelling and simulation techniques; active vibration controls; malfunctions and condition monitoring aspects. Key features are:

• All the chapters are covered with examples based on computer programs given in the appendix. A CD containing the programs and examples is provided.

• Advanced /current topics are also included to stimulate interest and challenge the minds of advanced engineering students, researchers and industrial personnel.

• A wide coverage of literature is provided.





Chapter-1 Introduction
Importance of rotor dynamic analysis, Historical overview, Objectives of rotor dynamics analysis, Summary and scope of the present book

Chapter-2 Rudiments of rotor dynamics
Introduction, S.D.O.F. rotor model, Shaft whirling, Critical speeds, Jeffcott rotor analysis, Some more important points

Chapter-3 Gyroscopic effects
Introduction, Rigid disc equations of motion, Long rigid (drum like) symmetric rotor, Gyroscopic effects on the critical speeds, Gyroscopic effects in a spinning thin disc

Chapter-4 Bearing and seal systems
Introduction, Rolling element bearings, Fluid film bearings, Fluid seals, Conclusions

Chapter-5 Influence of bearings and seals on rotordynamics
Introduction, Rotor supported on fluid film bearings, Destructive effects in rotor-bearing systems, Vibration Severity, Summary of influences of fluid film bearings, Influence of bearings and seals: typical case study, Summary, Nomenclature

Chapter-6 Finite element modelling of rotors
Introduction, System Modelling, Rotor system equation of motion, Critical speeds & stability, Unbalance response, Introduction to transfer matrix method, Transfer finite element method: hybrid technique, Composite shafts

Chapter-7 Balancing of rotors
Introduction, Causes of unbalance, Types of unbalance, Classification of rotors, Balancing of rigid rotors, Balancing of flexible rotors, Non-conventional methods of rotor balancing, On-line balancing techniques: more details, Some recommendations for balancing

Chapter-8 Active vibration control of rotors: magnetic bearings
Introduction, Magnetic bearings, Basic design of AMBs, Equations of rotor-AMB system, Control strategies, Self-sensing AMBs

Chapter-9 Malfunctions of rotor systems
Introduction, Brief description of common rotor faults, Coupling misalignment, Shaft cracks, Signal processing techniques, Applications: characteristic signals in different faults, Summary, Nomenclature

Chapter-10 Condition monitoring and fault diagnostics
Introduction, Vibration monitoring and analysis - methodology, Basics of machine vibration, Machinery vibration standards, Machinery vibration diagnostics: fault signatures, Typical spectra and phase relationships for some common faults, Non-linearity in systems, Fault diagnosis: model-based fault identification, Fault diagnosis: combined (hybrid) approach, Intelligent fault detection and condition monitoring, Summary



Appendices in CD: programs, input and other details & some case studies
PR1_Chp2: Response (transient) of a Simple Rotor Passing the Critical Speed
PR2_Chp4: Evaluation of Rolling Element Bearing Stiffness Coefficients
PR3_Chp4: Evaluation of Fluid film bearings & Seals Coefficients using FEM
PR4_Chp5: Dynamic analysis of Jeffcott Rotor Supported on Fluid film Bearings
PR5_Chp5: Dynamics of Rotor-Bearing-Seal System
PR56_Chp56: Case Studies
PR6_Chp6: FEM analysis of Rotors for Critical Speeds and Unbalance Response
PR7_Chp6: Transfer matrix method for Critical Speeds and Unbalance Response
PR8_Chp7: Influence coefficient method and unified approach for Rotor Balancing
PR9_Chp7: On-line Rotor Balancing using Electromagnetic Balancing Regulator
PR10_Chp7: On-line Active Balancing of Rotor: during acceleration & feedback control
PR11_Chp9: Dynamics of Cracked Rotors


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The authors

Professor B.S.Prabhu is the Director of the Mandsaur Institute of Technology (MIT), Before joining MIT, Mandsaur he was Professor at the Indian Institute of Technology, Madras at Chennai and Director, Manipal Institute of Technology, Manipal. He has published over 150 research papers in international and national journals, and is a reviewer for many international journals.

Dr. A.S.Sekhar is presently Professor of Mechanical Engineering at the Indian Institute of Technology, Madras. Before joining IIT Madras, he was Professor at IIT Kharagpur. He graduated in Mechanical Engineering from Andhra University, Visakhapatnam (India) and received M.E. from the Indian Institute of Science, Bangalore and Ph.D from IIT Madras. He started his academic career at IIT Kharagpur in 1993. He was been awarded the Career award for Young Teacher by the All India Council of Technical Education (AICTE) in 1998. In 2001-02, he conducted research at the department of Applied Mechanics, Darmstadt Technical University, Germany as an Alexander von Humboldt Research Fellow. He has published over 80 papers in international and national journals.