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Vibrations of Rotating Machinery

Part of the Mathematics for Industry Book Series (volume 16)

DOI: 10.1007/978-4-431-55456-1

ISBN: 978-4-431-55455-4

Publisher: Springer Japan - Springer Journals

May 23, 2017

1 - 10 of 12 Chapters

LitStream

Chapter 1Introduction of Rotordynamics

Matsushita, Osami; Tanaka, Masato; Kanki, Hiroshi; Kobayashi, Masao; Keogh, Patrick

Pages: 1 –12

[This book explains various phenomena and mechanisms that induce vibrations in rotating machinery, based on theory and field experiences (Chaps. 1–12 in volume 1). It also provides guidance in undertaking diagnosis and implementing effective countermeasures against various vibration problems in...
LitStream

Chapter 2Basics for a Single-Degree-of-Freedom Rotor

Matsushita, Osami; Tanaka, Masato; Kanki, Hiroshi; Kobayashi, Masao; Keogh, Patrick

Pages: 13 –40

[This chapter specifies the definitions, calculation and measurement of basic vibration properties: natural frequency, modal damping, resonance and Q-value (Q-factor)Q-value (Q-factor).]
LitStream

Chapter 3Modal Analysis of Multi-Degree-of-Freedom Systems

Matsushita, Osami; Tanaka, Masato; Kanki, Hiroshi; Kobayashi, Masao; Keogh, Patrick

Pages: 41 –78

[The preceding chapter dealt with the basics of rotor vibrations concerning a single-degree-of-freedom (single-dof, 1-dof)Single-degree-of-freedom (single-dof, 1-dof) system. An actual machine should, however, be analyzed as a multi-degree-of-freedom (multi-dof)Multi-degree-of-freedom (multi-dof)...
LitStream

Chapter 4Mode Synthesis and Quasi-modal Method

Matsushita, Osami; Tanaka, Masato; Kanki, Hiroshi; Kobayashi, Masao; Keogh, Patrick

Pages: 79 –103

[Modal analysis consists of superposing eigenmodes ϕi, weighted according to the modal coordinates ηi, through all modes. The modal coordinates no longer have the representation of the original physical coordinates. This chapter discusses methods to reduce the order of the system while preserving...
LitStream

Chapter 5Unbalance and Balancing

Matsushita, Osami; Tanaka, Masato; Kanki, Hiroshi; Kobayashi, Masao; Keogh, Patrick

Pages: 105 –152

[Most of the cases of rotor vibration problems come from excessive vibration or resonance due to unbalance. A quick remedy to compensate for it is balancing. Balancing is based on the assumptions of a linear relationship between input (unbalance) and output (vibration), namely,The amplitude of...
LitStream

Chapter 6Gyroscopic Effect on Rotor Vibrations

Matsushita, Osami; Tanaka, Masato; Kanki, Hiroshi; Kobayashi, Masao; Keogh, Patrick

Pages: 153 –180

[This chapter discusses the gyroscopic effectGyroscopic effect characterizing rotordynamics as being different from the structural dynamics, associated with the non-rotating parts of the rotor system, such as the casing and foundation. A top spinning at a high speed whirls slowly in a tilted...
LitStream

Chapter 7Approximate Evaluation for Eigenvalues of Rotor-Bearing Systems

Matsushita, Osami; Tanaka, Masato; Kanki, Hiroshi; Kobayashi, Masao; Keogh, Patrick

Pages: 181 –211

[This chapter discusses an approximate evaluationApproximate evaluation method to consider the effects of the dynamic characteristics of a bearing on the complex eigenvaluesComplex eigenvalues (damping characteristics as the real part and damped natural frequency as the imaginary part). The...
LitStream

Chapter 8Rotor System Evaluation Using Open-Loop Characteristics

Matsushita, Osami; Tanaka, Masato; Kanki, Hiroshi; Kobayashi, Masao; Keogh, Patrick

Pages: 213 –239

[This chapter discusses an evaluation method for rotor vibration characteristics by utilizing the open-loop frequency response of the system, instead of conventional eigenvalue analysis. The vibration characteristics of a rotor system are represented by the (damped) natural frequency and damping...
LitStream

Chapter 9Bridge Between Inertial and Rotational Coordinate Systems

Matsushita, Osami; Tanaka, Masato; Kanki, Hiroshi; Kobayashi, Masao; Keogh, Patrick

Pages: 241 –252

[This chapter discusses a bridge for the knowledge with respect to the rotor-shaft vibration defined in an inertial coordinate system and the rotating structure vibration formulated in a rotating coordinate system. The equations of motion for rotor vibration discussed hitherto have been based on...
LitStream

Chapter 10Vibration Analysis of Blade and Impeller Systems

Matsushita, Osami; Tanaka, Masato; Kanki, Hiroshi; Kobayashi, Masao; Keogh, Patrick

Pages: 253 –285

[This chapter discusses vibrations of rotating structures such as blades in turbines and impellers in pumps or compressors. The natural frequencies of a rotating structure may be analyzed using the 3-D finite element method and classified by the number of the nodal diameters or circular nodal...

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