Computational Techniques of Rotor Dynamics with the Finite Element Method  book cover
1st Edition

Computational Techniques of Rotor Dynamics with the Finite Element Method

ISBN 9781138073470
Published March 29, 2017 by CRC Press
296 Pages 210 B/W Illustrations

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Book Description

For more than a century, we have had a firm grasp on rotor dynamics involving rigid bodies with regular shapes, such as cylinders and shafts. However, to achieve an equally solid understanding of the rotational behavior of flexible bodies—especially those with irregular shapes, such as propeller and turbine blades—we require more modern tools and methods.

Computational Techniques of Rotor Dynamics with the Finite Element Method explores the application of practical finite element method (FEM)-based computational techniques and state-of-the-art engineering software. These are used to simulate behavior of rotational structures that enable the function of various types of machinery—from generators and wind turbines to airplane engines and propellers.

The book’s first section focuses on the theoretical foundation of rotor dynamics, and the second concentrates on the engineering analysis of rotating structures. The authors explain techniques used in the modeling and computation of the forces involved in the rotational phenomenon. They then demonstrate how to interpret and apply the results to improve fidelity and performance.

Coverage includes:

  • Use of FEM to achieve the most accurate computational simulation of all gyroscopic forces occurring in rotational structures
  • Details of highly efficient and accurate computational and numerical techniques for dynamic simulations
  • Interpretation of computational results, which is instrumental to developing stable rotating machinery
  • Practical application examples of rotational structures’ dynamic response to external and internal excitations
  • An FEM case study that illustrates the computational complexities associated with modeling and computation of forces of rotor dynamics
  • Assessment of propellers and turbines that are critical to the transportation and energy industries

Useful to practicing engineers and graduate-level students alike, this self-contained volume also serves as an invaluable reference for researchers and instructors in this field.

CRC Press Authors Speak

Louis Komzsik introduces you to two books that share a common mathematical foundation, the finite element analysis technique. Watch the video.

Table of Contents

Part I: Theoretical Foundation of Rotor Dynamics

Introduction to Rotational Physics

Fixed Coordinate System

Rotating Coordinate System

Forces in the Rotating System

Transformation between Coordinate Systems

Kinetic Energy Due to Translational Displacement

Kinetic Energy Due to Rotational Displacement

Equation of Motion in Rotating Coordinate System

Equation of Motion in the Fixed Coordinate System

Coupled Solution Formulations

Matrix Formulation of Lagrange’s Equations

Coupling Nodal Translations to the Stationary Part

Simultaneous Coupling of Translations and Rotations

Full Coupling of the Stationary and Rotating Parts

Time-Dependent Terms of Equations

Finite Element Analysis of Rotating Structures

Potential Energy of Structure

Dissipative Forces

Non-dissipative Forces

Finite Element Equation Assembly

Coupled Equilibrium Equation Assembly

Analysis Equilibrium Equations

Computational Solution Techniques

Direct Time Domain Solution of the Equilibrium Equation

Direct Frequency Domain Solution

Direct Free Vibration Solution

Modal Solution Technique

Static Condensation

Dynamic Reduction

Numerical Solution Techniques

The Lanczos Method

Orthogonal Factorization

The Block Lanczos Method

Solution of Periodic Equations


Part II: Engineering Analysis of Rotating Structures

Resonances and Instabilities

Analysis Type vs. Modeling Approach

Resonances and Instabilities

Critical Speed of Rotating Mass

The Laval Rotor

Influence of Damping

Unsymmetric Effects of Bearing and Rotor

A Rotating Tube

Rotating Model with Flexible Arms

The Ground Resonance

Dynamic Response Analysis

Frequency Response without Rotation

Frequency Response with Rotation

Transient Response without Rotation

Transient Response with Rotation

A Finite Element Case Study

Turbine Wheel with Shaft and Blades

Engineering Analysis

Computational Statistics

The Journal Bearing

Active External Loads

Analysis of Aircraft Propellers

A Propeller Blade

Quasi-steady Aerodynamics of Blade

Unsteady Aerodynamics of Blade

Propeller with Four Blades

Analysis of Wind Turbines

An Example Wind Turbine

Modeling and Analysis of Wind Turbine Blade

Wind Turbine with Three Blades

Response Analysis of Wind Turbines

Horizontal Axis Wind Turbines with Two Blades

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Arne Vollan studied aeronautical engineering at the Technical University of Trondheim (Norway) and Aachen (Germany), and holds the degree Diplom Ingenieur. He was employed by several aeronautical companies such as VFW-Fokker (now Airbus), Helicopter Technik Muenchen, Dornier, Nationaal Lucht- en Ruimtevaartlaboratorium, and Pilatus Aircraft as a dynamic and aeroelastic specialist. He was also a consultant and developed programs for the analysis of rotating structures like wind turbines and propellers. Since 2002 he has been working at AeroFEM GmbH in Switzerland on rotor dynamics and the aeroelasticity of aircraft and large wind turbines.

Louis Komzsik is a graduate of the Technical University of Budapest with an engineering degree and the Eötvös University of Sciences in Budapest with a mathematics degree, and he holds a Doctorate from the Technical University of Budapest, Hungary. He was employed by the Hungarian Shipyards from 1972 to 1980 and worked at the McDonnell-Douglas Corporation in 1981 and 1982. He was the chief numerical analyst at the MacNeal-Schwendler (now MSC Software) Corporation for two decades. Since 2003 he has been the chief numerical analyst at Siemens PLM Software. For the past 30 years he has been the architect of the modern numerical methods of NASTRAN, the world’s leading finite element analysis tool in structural engineering.


Aeronautical engineers Vollan and Komzsik have worked in many companies designing rotors that blow wind or that wind turns and have cooperated on several projects over the past quarter century. From that collaboration, they explain how to apply modern analysis tools such as finite elements to the rotational behavior of flexible bodies …
—SciTech News, Vol. 66, September 2012