Advanced Engineering Dynamics

The subject referred to as dynamics is usually taken to mean the study of the kinematics and kinetics of particles, rigid bodies and deformable solids. When applied to fluids it is referred to as fluid dynamics or hydrodynamics or aerodynamics and is not covered in this book. The object of this book is to form a bridge between elementary dynamics and advanced specialist applications in engineering. Our aim is to incorporate the terminology and nota- tion used in various disciplines such as road vehicle stability, aircraft stability and robotics. Any one of these topics is worthy of a complete textbook but we shall concentrate on the fundamental principles so that engineering dynamics can be seen as a whole. Chapter 1 is a reappraisal of Newtonian principles to ensure that definitions and symbols are all carefully defined. Chapters 2 and 3 expand into so-called analytical dynamics typi- fied by the methods of Lagrange and by Hamilton ’s principle. Chapter 4 deals with rigid body dynamics to include gyroscopic phenomena and the sta- bility of spinning bodies. Chapter 5 discusses four types of vehicle: satellites, rockets, aircraft and cars. Each of these highlights different aspects of dynamics. Chapter 6 covers the fundamentals of the dynamics of one-dimensional continuous media. We restrict our discussion to wave propagation in homogeneous, isentropic, linearly elastic solids as this is adequate to show the diferences in teclmique when compared with rigid body dynamics. The methods are best suited to the study of impact and other transient phenomena. The chapter ends with a treatment of strain wave propagation in helical springs. Concerns analytical dynamics and is included to embrace some methodsgwhich are less well known than the classical Lagrangian dynamics and I-lamilton’s principle. One such approach is that known as the Gibbs-Appel] method. The third demonstrates the use of curvilinear co—ordinates with particular reference to vector analysis and second-order tensors. As we have already mentioned, almost every topic covered could well be expanded into a complete text. Many such texts exist and a few of them are listed in the Bibliography which, in tum, leads to a more comprehensive list of references. The important subject of vibration is not dealt with specifically but methods by which theequations of motion can be set up are demonstrated. The fundamentals of vibration and control are covered in our earlier book The Principles of Engineering Mechanics, 2nd edn, published by Edward Arnold in 1994. The author and publisher would like to thank Briiel and Kjaer for information on the Laser Velocity Transducer and SP Tyres UK Limited for data on tyre comering forces. lt is with much personal sadness that I have to inform the reader that my co-author, friend and colleague, Trevor Nettleton, became seriously ill during the early stages of the prepara-tion of this book. He died prematurely of a brain tumour some nine months later. Clearly his involvement in this book is far less than it would have been; I have tried to minimize this loss. Ron Harrison January 1997

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