Linear and Nonlinear Rotordynamics

Linear and Nonlinear Rotordynamics

Author: Yukio Ishida

Publisher: John Wiley & Sons

Published: 2013-03-05

Total Pages: 495

ISBN-13: 3527651918

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A wide-ranging treatment of fundamental rotordynamics in order to serve engineers with the necessary knowledge to eliminate various vibration problems. New to this edition are three chapters on highly significant topics: Vibration Suppression - The chapter presents various methods and is a helpful guidance for professional engineers. Magnetic Bearings - The chapter provides fundamental knowledge and enables the reader to realize simple magnetic bearings in the laboratory. Some Practical Rotor Systems - The chapter explains various vibration characteristics of steam turbines and wind turbines. The contents of other chapters on Balancing, Vibrations due to Mechanical Elements, and Cracked Rotors are added to and revised extensively. The authors provide a classification of rotating shaft systems and general coverage of key ideas common to all branches of rotordynamics. They offers a unique analysis of dynamical problems, such as nonlinear rotordynamics, self-excited vibration, nonstationary vibration, and flow-induced oscillations. Nonlinear resonances are discussed in detail, as well as methods for shaft stability and various theoretical derivations and computational methods for analyzing rotors to determine and correct vibrations. This edition also includes case studies and problems.


Rotordynamics of Automotive Turbochargers

Rotordynamics of Automotive Turbochargers

Author: Hung Nguyen-Schäfer

Publisher: Springer Science & Business Media

Published: 2012-03-06

Total Pages: 327

ISBN-13: 3642275184

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This book deals with rotordynamics of automotive turbochargers while encompassing the analysis of the dynamics of rotating machines at very high rotor speeds of 300,000 rpm and above. This interdisciplinary field involves 1. thermodynamics and turbo-matching knowledge to compute working conditions of turbochargers, 2. fluid and bearing dynamics to calculate various operating thrust loads and to design the rotating floating ring bearings (two-oil-film bearings), and 3. tribology to improve the rotor stability and to reduce the bearing friction. Mathematical background in modeling and simulation methods is necessary; however, the prerequisites have been kept to a minimum. The book addresses both practitioners working in the field of rotordynamics of automotive turbochargers and graduate students in mechanical engineering.


Dynamics of Rotating Systems

Dynamics of Rotating Systems

Author: Giancarlo Genta

Publisher: Springer Science & Business Media

Published: 2007-01-04

Total Pages: 674

ISBN-13: 038728687X

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Provides an up-to-date review of rotor dynamics, dealing with basic topics as well as a number of specialized topics usually available only in journal articles Unlike other books on rotordynamics, this treats the entire machine as a system, with the rotor as just one component


Bearing Dynamic Coefficients in Rotordynamics

Bearing Dynamic Coefficients in Rotordynamics

Author: Lukasz Brenkacz

Publisher: John Wiley & Sons

Published: 2021-04-05

Total Pages: 196

ISBN-13: 1119759269

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A guide to bearing dynamic coefficients in rotordynamics that includes various computation methods Bearing Dynamic Coefficients in Rotordynamics delivers an authoritative guide to the fundamentals of bearing and bearing dynamic coefficients containing various computation methods. Three of the most popular and state-of-the-art methods of determining coefficients are discussed in detail. The computation methods covered include an experimental linear method created by the author, and numerical linear and nonlinear methods using the finite element method. The author—a renowned expert on the topic—presents the results and discusses the limitations of the various methods. Accessibly written, the book provides a clear analysis of the fundamental phenomena in rotor dynamics and includes many illustrations from numerical analysis and the results of the experimental research. Filled with practical examples, the book also includes a companion website hosting code used to calculate the dynamic coefficients of journal bearings. This important book: Covers examples of different computation methods, presents results, and discusses limitations of each Reviews the fundamentals of bearing and bearing dynamic coefficients Includes illustrations from the numerical analysis and results of the experimental research Offers myriad practical examples and a companion website Written for researchers and practitioners working in rotordynamics, Bearing Dynamic Coefficients in Rotordynamics will also earn a place in the libraries of graduate students in mechanical and aerospace engineering who seek a comprehensive treatment of the foundations of this subject.


Analytical Methods in Rotor Dynamics

Analytical Methods in Rotor Dynamics

Author: Andrew D. Dimarogonas

Publisher: Springer Science & Business Media

Published: 2013-02-19

Total Pages: 280

ISBN-13: 9400759053

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The design and construction of rotating machinery operating at supercritical speeds was, in the 1920s, an event of revolutionary importance for the then new branch of dynamics known as rotor dynamics. In the 1960s, another revolution occurred: In less than a decade, imposed by operational and economic needs, an increase in the power of turbomachinery by one order of magnitude took place. Dynamic analysis of complex rotor forms became a necessity, while the importance of approximate methods for dynamic analysis was stressed. Finally, the emergence of fracture mechanics, as a new branch of applied mechanics, provided analytical tools to investigate crack influence on the dynamic behavior of rotors. The scope of this book is based on all these developments. No topics related to the well-known classical problems are included, rather the book deals exclusively with modern high-power turbomachinery.


Dynamics of Rotating Machines

Dynamics of Rotating Machines

Author: M. I. Friswell

Publisher: Cambridge University Press

Published: 2010-03-31

Total Pages: 545

ISBN-13: 0521850169

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Enables engineers to understand the dynamics of rotating machines, from basic explanations to detailed numerical models and analysis.


Bearing Dynamic Coefficients in Rotordynamics

Bearing Dynamic Coefficients in Rotordynamics

Author: Lukasz Brenkacz

Publisher: John Wiley & Sons

Published: 2021-04-05

Total Pages: 196

ISBN-13: 1119759269

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A guide to bearing dynamic coefficients in rotordynamics that includes various computation methods Bearing Dynamic Coefficients in Rotordynamics delivers an authoritative guide to the fundamentals of bearing and bearing dynamic coefficients containing various computation methods. Three of the most popular and state-of-the-art methods of determining coefficients are discussed in detail. The computation methods covered include an experimental linear method created by the author, and numerical linear and nonlinear methods using the finite element method. The author—a renowned expert on the topic—presents the results and discusses the limitations of the various methods. Accessibly written, the book provides a clear analysis of the fundamental phenomena in rotor dynamics and includes many illustrations from numerical analysis and the results of the experimental research. Filled with practical examples, the book also includes a companion website hosting code used to calculate the dynamic coefficients of journal bearings. This important book: Covers examples of different computation methods, presents results, and discusses limitations of each Reviews the fundamentals of bearing and bearing dynamic coefficients Includes illustrations from the numerical analysis and results of the experimental research Offers myriad practical examples and a companion website Written for researchers and practitioners working in rotordynamics, Bearing Dynamic Coefficients in Rotordynamics will also earn a place in the libraries of graduate students in mechanical and aerospace engineering who seek a comprehensive treatment of the foundations of this subject.


Rotordynamics of Automotive Turbochargers

Rotordynamics of Automotive Turbochargers

Author: Hung Nguyen-Schäfer

Publisher: Springer

Published: 2015-05-15

Total Pages: 367

ISBN-13: 3319176447

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Rotordynamics of automotive turbochargers is dealt with in this book encompassing the widely working field of small turbomachines under real operating conditions at the very high rotor speeds up to 300000 rpm. The broadly interdisciplinary field of turbocharger rotordynamics involves 1) Thermodynamics and Turbo-Matching of Turbochargers 2) Dynamics of Turbomachinery 3) Stability Analysis of Linear Rotordynamics with the Eigenvalue Theory 4) Stability Analysis of Nonlinear Rotordynamics with the Bifurcation Theory 5) Bearing Dynamics of the Oil Film using the Two-Phase Reynolds Equation 6) Computation of Nonlinear Responses of a Turbocharger Rotor 7) Aero and Vibroacoustics of Turbochargers 8) Shop and Trim Balancing at Two Planes of the Rotor 9) Tribology of the Bearing Surface Roughness 10) Design of Turbocharger Platforms using the Similarity Laws The rotor response of an automotive turbocharger at high rotor speeds is studied analytically, computationally, and experimentally. Due to the nonlinear characteristics of the oil-film bearings, some nonlinear responses of the rotor besides the harmonic response 1X, such as oil whirl, oil whip, and modulated frequencies occur in Waterfall diagram. Additionally, the influences of the surface roughness and oil characteristics on the rotor behavior, friction, and wear are discussed. This book is written by an industrial R&D expert with many years of experience in the automotive and turbocharger industries. The all-in-one book of turbochargers is intended for scientific and engineering researchers, practitioners working in the rotordynamics field of automotive turbochargers, and graduate students in applied physics and mechanical engineering.


Linear and Nonlinear Dynamic Analysis of Redundant Load Path Bearingless Rotor Systems

Linear and Nonlinear Dynamic Analysis of Redundant Load Path Bearingless Rotor Systems

Author: National Aeronautics and Space Administration (NASA)

Publisher: Createspace Independent Publishing Platform

Published: 2018-07-18

Total Pages: 126

ISBN-13: 9781723194047

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The goal of this research is to develop the transfer matrix method to treat nonlinear autonomous boundary value problems with multiple branches. The application is the complete nonlinear aeroelastic analysis of multiple-branched rotor blades. Once the development is complete, it can be incorporated into the existing transfer matrix analyses. There are several difficulties to be overcome in reaching this objective. The conventional transfer matrix method is limited in that it is applicable only to linear branch chain-like structures, but consideration of multiple branch modeling is important for bearingless rotors. Also, hingeless and bearingless rotor blade dynamic characteristics (particularly their aeroelasticity problems) are inherently nonlinear. The nonlinear equations of motion and the multiple-branched boundary value problem are treated together using a direct transfer matrix method. First, the formulation is applied to a nonlinear single-branch blade to validate the nonlinear portion of the formulation. The nonlinear system of equations is iteratively solved using a form of Newton-Raphson iteration scheme developed for differential equations of continuous systems. The formulation is then applied to determine the nonlinear steady state trim and aeroelastic stability of a rotor blade in hover with two branches at the root. A comprehensive computer program is developed and is used to obtain numerical results for the (1) free vibration, (2) nonlinearly deformed steady state, (3) free vibration about the nonlinearly deformed steady state, and (4) aeroelastic stability tasks. The numerical results obtained by the present method agree with results from other methods. Murthy, V. R. and Shultz, Louis A. Unspecified Center AEROELASTICITY; BEARINGLESS ROTORS; BOUNDARY VALUE PROBLEMS; DYNAMIC STRUCTURAL ANALYSIS; MATRIX METHODS; NONLINEAR EQUATIONS; ROTOR DYNAMICS; DIFFERENTIAL EQUATIONS; EQUATIONS OF MOTION; FREE VIBRATION; HOVERING; NEWTON-RAPHSON METHOD; RESONANT FRE...


Vibration Analysis of Rotors

Vibration Analysis of Rotors

Author: Chong-Won Lee

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 324

ISBN-13: 9401581738

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This text is intended for use as an advanced course in either rotordynamics or vibration at the graduate level. This text has mostly grown out of the research work in my laboratory and the lectures given to graduate students in the Mechanical Engineering Department, KAIST. The text contains a variety of topics not normally found in rotordynamics or vibration textbooks. The text emphasizes the analytical aspects and is thus quite different from conventional rotordynamics texts; potential readers are expected to have a firm background in elementary rotordynamics and vibration. In most previously published rotordynamics texts, the behavior of simple rotors has been of a primary concern, while more realistic, multi-degree-f-freedom or continuous systems are seldom treated in a rigorous way, mostly due to the difficulty of a mathematical treatment of such complicated systems. When one wanted to gain a deep insight into dynamic phenomena of complicated rotor systems, one has, in the past, either had to rely on computational techniques, such as the transfer matrix and finite element methods, or cautiously to extend ideas learned from simple rotors whose analytical solutions are readily available. The former methods are limited in the interpretation of results, since the calculations relate only to the simulated case, not to more general system behavior. Ideas learned from simple rotors can, fortunately, often be extended to many practical rotor systems, but there is of course no guarantee of their validity.