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.
Alok Sinha is Professor of Mechanical Engineering at Pennsylvania State University. He also has served as Visiting Professor of Aeronautics and Astronautics at Massachusetts Institute of Technology and Stanford University, California. His areas of teaching and research include vibration, control systems, jet engines, robotics, neural networks, and nanotechnology. He is a Fellow of the American Society of Mechanical Engineers and the American Association for the Advancement of Science, and an Associate Fellow of American Institute of Aeronautics and Astronautics. He has received a NASA Certificate of Recognition for Significant Contribution to the Space Shuttle Microgravity Mission. Sinha is the author of Linear Systems: Optimal and Robust Control (2007) and Vibration of Mechanical Systems (2010). He has also served as an Associate Editor of the ASME Journal of Dynamic Systems, Measurement and Control, the ASME Journal of Turbomachinery, and the AIAA Journal.
1. Fundamentals of free vibration of a rotationally periodic structure; 2. Fundamentals of forced vibration of a mistuned rotationally periodic structure; 3. Reduced-order models and response of nearly periodic structures.