Nonlinear Vibration with Control: (Solid Mechanics And Its Applications)

Identifying, modelling and controlling nonlinear vibrations is becoming increasingly important in a range of engineering applications. This is particularly true in the design of structures such as aircraft, satellites, bridges, and sports stadia. Here, the trend is towards lighter structures, with increased slenderness, often made of new composite materials and requiring some form of deployment and/or active vibration control. There are also applications in the areas of robotics, mechatronics, micro electrical mechanical systems (MEMS), fluid power, non-destructive testing (NDT) and related disciplines such as structural health monitoring (SHM). Three broader themes cut across these application areas; vibration suppression (or active damping), adaptive structures and machines, and damage detection. This book focuses primarily on the first two areas, with relevant discussion relating to area damage detection being given when appropriate. The authors discuss the interrelationship between three separate, but related areas; linear vibration theory for multi-degree-of-freedom systems, nonlinear dynamics and chaos, and nonlinear control. No other book covers all three areas from a nonlinear vibration perspective and will fill this gap, and as such it will offer a new perspective on these topics, particularly in relation to the three themes identified above. The volume will be accessible to practitioners in the application areas as well as students and researchers working on related topics. In particular the aim is to introduce the key concepts of nonlinear vibration to readers who have an understanding of linear vibration and/or linear control but no specialist knowledge in nonlinear dynamics or nonlinear control.