Front Cover -- Advanced Engineering Dynamics -- Copyright Page -- Contents -- Preface -- Chapter 1. Newtonian Mechanics -- 1.1 Introduction -- 1.2 Fundamentals -- 1.3 Space and time -- 1.4 Mass -- 1.5 Force -- 1.6 Work and power -- 1.7 Kinematics of a point -- 1.8 Kinetics of a particle -- 1.9 Impulse -- 1.10 Kinetic energy -- 1.11 Potential energy -- 1.12 Coriolis's theorem -- 1.13 Newton's laws for a group of particles -- 1.14 Conservation of momentum -- 1.15 Energy for a group of particles -- 1.16 The principle of virtual work -- 1.17 D' Alembert's principle -- Chapter 2. Lagrange's Equations -- 2.1 Introduction -- 2.2 Generalized co-ordinates -- 2.3 Proof of Lagrange's equations -- 2.4 The dissipation function -- 2.5 Kinetic energy -- 2.6 Conservation laws -- 2.7 Hamilton's equations -- 2.8 Rotating frame of reference and velocity-dependent potentials -- 2.9 Moving co-ordinates -- 2.10 Non-holonomic systems -- 2.11 Lagrange's equations for impulsive forces -- Chapter 3. Hamilton's Principle -- 3.1 Introduction -- 3.2 Derivation of Hamilton's principle -- 3.3 Application of Hamilton's principle -- 3.4 Lagrange's equations derived from Hamilton's principle -- 3.5 Illustrative example -- Chapter 4. Rigid Body Motion in Three Dimensions -- 4.1 Introduction -- 4.2 Rotation -- 4.3 Angular velocity -- 4.4 Kinetics of a rigid body -- 4.5 Moment of inertia -- 4.6 Euler's equation for rigid body motion -- 4.7 Kinetic energy of a rigid body -- 4.8 Torque-free motion of a rigid body -- 4.9 Stability of torque-free motion -- 4.10 Euler's angles -- 4.11 The symmetrical body -- 4.12 Forced precession -- 4.13 Epilogue -- Chapter 5. Dynamics of Vehicles -- 5.1 Introduction -- 5.2 Gravitational potential -- 5.3 The two-body problem -- 5.4 The central force problem -- 5.5 Satellite motion -- 5.6 Effects of oblateness -- 5.7 Rocket in free space.

5.8 Non-spherical satellite -- 5.9 Spinning satellite -- 5.10 De-spinning of satellites -- 5.11 Stability of aircraft -- 5.12 Stability of a road vehicle -- Chapter 6. Impact and One-Dimensional Wave Propagation -- 6.1 Introduction -- 6.2 The one-dimensional wave -- 6.3 Longitudinal waves in an elastic prismatic bar -- 6.4 Reflection and transmission at a boundary -- 6.5 Momentum and energy in a pulse -- 6.6 Impact of two bars -- 6.7 Constant force applied to a long bar -- 6.8 The effect of local deformation on pulse shape -- 6.9 Prediction of pulse shape during impact of two bars -- 6.10 Impact of a rigid mass on an elastic bar -- 6.11 Dispersive waves -- 6.12 Waves in a uniform beam -- 6.13 Waves in periodic structures -- 6.14 Waves in a helical spring -- Chapter 7. Waves in a Three-Dimensional Elastic Solid -- 7.1 Introduction -- 7.2 Strain -- 7.3 Stress -- 7.4 Elastic constants -- 7.5 Equations of motion -- 7.6 Wave equation for an elastic solid -- 7.7 Plane strain -- 7.8 Reflection at a plane surface -- 7.9 Surface waves (Rayleigh waves) -- 7.10 Conclusion -- Chapter 8. Robot Arm Dynamics -- 8.1 Introduction -- 8.2 Typical arrangements -- 8.3 Kinematics of robot arms -- 8.4 Kinetics of a robot arm -- Chapter 9. Relativity -- 9.1 Introduction -- 9.2 The foundations of the special theory of relativity -- 9.3 Time dilation and proper time -- 9.4 Simultaneity -- 9.5 The Doppler effect -- 9.6 Velocity -- 9.7 The twin paradox -- 9.8 Conservation of momentum -- 9.9 Relativistic force -- 9.10 Impact of two particles -- 9.11 The relativistic Lagrangian -- 9.12 Conclusion -- Problems -- Appendix 1 - Vectors, Tensors and Matrices -- Appendix 2 - Analytical Dynamics -- Appendix 3 - Curvilinear Co-ordinate Systems -- Bibliography -- Index.