Dynamics and Vibration

Magd Abdel Wahab is Professor of Applied Mechanics in the Department of Mechanical Construction and Production at Ghent University in Belgium. An experienced teacher, he has also published over 150 technical research publications.

• Preface xiAcknowledgements xiiiList of symbols xivPart I: Dynamics1 Kinematics of Particles 31.1 Introduction 41.2 Rectilinear motion 81.3 Curvilinear motion 171.4 Tutorial sheet 362 Kinematics of Rigid Bodies 572.1 Introduction 582.2 Rigid body motion 582.3 Kinematics of wheels and gears 602.4 Kinematics of linkages and mechanisms 712.5 Tutorial sheet 953 Kinetics of Particles 1133.1 Introduction 1143.2 Newton’s laws 1153.3 Force and acceleration 1193.4 Work and energy 1273.5 Impulse and momentum 1363.6 Tutorial sheet 1474 Kinetics of Rigid Bodies 1674.1 Introduction 1684.2 Force and acceleration 1684.3 Work and energy 1914.4 Impulse and momentum 2014.5 Tutorial sheet 2105 Balancing of Machines 2295.1 Introduction 2305.2 Balancing of rotating masses 2305.3 Balancing of reciprocating engines 2425.4 Tutorial sheet 253Part II: Vibration6 Free Vibration of Systems with a Single Degree of Freedom 2656.1 Introduction 2666.2 Undamped free vibration 2686.3 Viscous damped free vibration 2866.4 Tutorial sheet 3007 Forced Vibration of Systems with a Single Degree of Freedom 3157.1 Introduction 3167.2 Undamped forced vibration – Harmonic force 3177.3 Viscous damped forced vibration – harmonic force 3247.4 General forced response 3337.5 Vibration isolation 3397.6 Tutorial sheet 3508 Vibration of Systems with Two Degrees of Freedom 3638.1 Introduction 3648.2 Deriving the equations of motion 3658.3 Undamped free vibration 3718.4 Torsional vibration 3858.5 Undamped forced vibrations 3888.6 Vibration absorbers 3948.7 Viscous damping 4018.8 Tutorial sheet 4059 Vibration of Continuous Systems 4179.1 Introduction 4189.2 Lateral vibration of a cable or string 4189.3 Longitudinal vibration of a bar 4289.4 Lateral vibration of a beam 4389.5 Whirling shafts 4489.6 Tutorial sheet 45610 Finite-Element Method 46710.1 Introduction 46810.2 Bar element 46810.3 Beam element 48410.4 Guidelines for using Ansys 50810.5 Tutorial sheet 510Appendix A DAMA and Guidelines for Simulations 519Appendix B Properties of Area 555Appendix c Equivalent Stiffness for Combinations of Springs 557Appendix d Summary of Formulas 561Index 567