Analytical Methods in Rotor Dynamics: Second Edition (Mechanisms and Machine Science)

Andrew D. Dimarogonas; Stefanos A. Paipetis; Thomas G. Chondros

ISBN 10: 9400759045 / ISBN 13: 9789400759046

Published by Springer, 2013

About this Item

Hardcover, xiv + 274 pages, NOT ex-library. Weight: 620g / 1.36lb. Book looks unread, minor handling wear; clean and bright throughout with unmarked text, free of inscriptions and stamps, firmly bound. Issued without a dust jacket. -- 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. -- Contents: 1 Approximate Evaluation of Eigenfrequencies (Formulation of the Eigenvalue Problem; Dunkerley's Procedure; Question of Accuracy; Root-Squaring Process; Application with Dissipative & Continuous Systems); 2 Variable Elasticity Effects in Rotating Machinery (Problem of Stability; Mathieu-Hill Equation; Classical Floquet Theory; Matrix Solution of Hill's Equation; Solution by Transition into an Equivalent Integral Equation; Bwk Procedure; Vibrations of Different-Modulus Media); 3 Mathematical Models for Rotor Dynamic Analysis (Single Disc Model; Discrete Model); 4 Flow-Induced Vibration of Rotating Shafts (Steam Whirl Problem; Stability Criteria; Rotor Dynamics for Annular Flows; Dynamics of a Hollow Rotor Partially Filled with a Liquid); 5 Heat-Flow-Induced Vibration of Rotating Shafts: The Newkirk Effect (Analytical Model; Modes of the Newkirk Effect; Appendix: Numerical Example); 6 Dynamics of Cracked Shafts (Local Flexibility of a Cracked Shaft; Open Crack; Closing Crack); 7 Identification of Cracks in Rotors and Other Structures by Vibration Analysis (Flexibility Matrix of Cracked Structural Members; Direct Methods; Eigenvalue Sensitivity Problem); 8 Thermal Effects Due to Vibration of Shafts (Heat Propagation Due to Torsional Vibration of Shafts; Heat Propagation in Rotating Shafts Due to Bending); 9 Variational Formulation of Consistent: Continuous Cracked Structural Members (Variational Formulation of Cracked Beams and Rods; Lateral Vibration of a Continuous Cracked Beam; Torsional Vibration of a Continuous Cracked Rod); 10 The Variational Formulation of a Rod in Torsional Vibration for Crack Identification (Dynamic Behaviour of Cracked Shafts; Torsional Vibration of a Continuous Cracked Shaft: Variational Theorem [Cracked Rod-Variational Theorem; Crack Disturbance Function; Differential Equation of Motion; Boundary Conditions; Torsional Natural Frequencies of the Cracked Rod-Rayleigh Quotient]; Finite Element Analysis of a Vibrating Cracked Rod); Index.

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Bibliographic Details

• Title: Analytical Methods in Rotor Dynamics: Second Edition (Mechanisms and Machine Science)
• Publisher: Springer
• Publication Date: 2013
• Language: English
• ISBN 10: 9400759045
• ISBN 13: 9789400759046
• Binding: Hardcover
• Edition: 2nd Edition
• Condition: Near Fine

About this title

Synopsis

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.