Structural Dynamics Control
Over the last decades there has been much work concerned with the vibration control of different dynamical systems. My objective in writing this textbook was to help students wishing to get deeper knowledge on structural dynamics and vibration control, while providing an overview of the potential of smart materials based sensor and actuator technologies for active vibration control. The textbook is aimed at first towards graduate and postgraduate students following Master and PhD programmes related to structural dynamics, mechatronics, control engineering, automotive engineering, noise and vibrations. The only prerequisite for reading this book is basic knowledge in mechanics and some familiarity with vibrations, state space models and automatic control.
One of the aims of this textbook is to provide students and engineers with opportunity of becoming familiar with the standard methods of the classical calculus of variations, the linear quadratic regulator optimization methods, and modern optimal control theory with focus on their applications in structural dynamics for vibration attenuation and vibration suppression problems. The textbook consists of four parts: Vibration Dynamics (Part 1), Passive and Semi-Active Vibration Control (Part 2), Hybrid and Active Vibration Control (Part 3), and Applications (Part 4). The supplementary mathematics, the list of Matlab codes used in the textbook, and the answers and hints for the exercises are presented in Chapters 14-16, respectively.
The material in this textbook has evolved from Vibration Control course notes, a course which has been taught at Chalmers University of Technology since 2008. Now, it is a second edition of the textbook Structural Dynamic Control, (Chalmers, 2012), with added new material and references most relevant to the course objectives. In developing of the textbook I have had benefit of many valuable comments and suggestions from my colleagues, graduate and postgraduate students at Chalmers. Thanks to all of them. In particular I am grateful to Mathias Lidberg, Thomas Nygårds, Hoda Yarmohamadi, Albin Johnsson, Stephan Struggl, Seyed Milad Mousavi Bideleh, Hans Lindell, Mikael Enelund and Håkan Johansson for joint work on structural dynamics, vibration control and optimisation of different engineering systems (robots, washing machines, commercial vehicles, wind turbines, railway vehicles, impact machines). Thanks also to my PhD students for their contribution for developing of course assignments on structural dynamics and vibration control. I express my thanks to Jan Möller, research engineer at CHALMERS, for his work on developing the test rigs for several research and teaching projects.
Some parts of the textbook were written based on the results obtained within the MESEMA project, funded under the 6th Framework Programme of the European Community, and the research projects supported by the Swedish Agency for Innovation Systems, VINNOVA, Swedish Wind Power Technology Centre, AB Volvo, ASKO Appliances AB and Family Ekman Research Foundation. I would also like to acknowledge the financial support given by National Instruments Inc. and the Foundation of Chalmers University of Technology via the project IMPACT.
Pontryagin maximum principle
semi-active vibration control
passive vibration control
calculus of variation and vibration control
active vibration control
stability of vibration dynamics
first integral method