This is the first comprehensive volume on nearly periodic structures and mistuned blade vibration. Alok Sinha presents fundamental concepts and state-of-the-art techniques in the analysis of free and forced response of a nearly periodic structure, weaving together his own work (covering thirty-five years of research in this field) with works by other researchers. He also discusses similarities between tools used in bladed rotor analysis and condensed matter physics. Specific subjects covered include the reasons behind mode localization, the reasons behind amplitude amplification of steady-state response, state-of-the-art computational techniques for mistuned bladed rotors including multistage rotors, identification of mistuning from measured response, vibration localization in linear atomic chains, and analysis of two-dimensional periodic structures.
Author(s): Alok Sinha
Publisher: Cambridge University Press
Year: 2017
Language: English
Pages: 201
Contents......Page 8
Acronyms......Page 9
Preface......Page 11
1.1 Basic Mistuned Model for Free Vibration......Page 16
1.2 Undamped Free Vibration: Tuned System......Page 17
1.3 Undamped Free Vibration: Mistuned System......Page 23
1.4 Taylor Series Expansion......Page 28
1.5 Special Treatment of Extremely Low Coupling Stiffness......Page 38
1.6 Frequency Veering Phenomenon......Page 39
1.7 Flutter and Mistuning......Page 43
1.8 Vibration Localization in Atomic Chain......Page 47
2.1 Basic Mistuned Model for Forced Vibration......Page 61
2.2 Forced Response of a Mistuned System......Page 65
2.3 Maximum Amplitude of Vibration of a Mistuned Bladed Disk......Page 84
2.4 Analytical Computation of the Statistics of Steady- State Amplitudes......Page 98
3.1 Analysis of Periodic Structures......Page 111
3.2 Reduced-Order Model: Frequency Mistuning......Page 121
3.3 Reduced-Order Model: Component Mode Synthesis......Page 131
3.4 Reduced-Order Model: Modified Modal Domain Analysis (MMDA)......Page 139
3.5 Numerical Examples: Natural Frequencies, Mode Shapes, and Forced Response......Page 145
3.6 Identification of Geometric Mistuning from Measured Data......Page 168
3.7 Reduced-Order Model for Multistage Bladed Rotors......Page 176
Appendix B: Eigenvalues and Eigenvectors of a Circulant Matrix......Page 190
Appendix A: Fundamentals of Vibration Analysis of a Multidegree of Freedom System......Page 186
References......Page 194
Index......Page 200
