理论力学纳要 英文版PDF电子书下载

CONTENTS 1

Part Ⅰ．Statics 1

Chapter 1．Fundamental Concepts and Principles of Statics 1

§1-1 Rigid Body 1

§1-2 Force 2

§1-3 Principles of Statics 3

§1-4 Free-Body Diagram 4

§1-5 Types of Force Systems 5

Chapter 2．Concurrent Forces 6

§2-1 Composition of Concurrent Forces 6

§2-2 Method of Projections 7

§2-3 Equilibrium of Concurrent Forces 8

§2-4 Equilibrium of Three Forces 9

§3-2 Characteristics of a Couple 10

§3-1 Definitions 10

Chapter 3．Couples 10

§3-3 Composition and Equilibrium of Couples 12

Chapter 4．Moment of a Force 12

§4-1 Moment of a Force with Respect toan Axis 12

§4-2 Moment of a Force with Respect to a Point 13

§4-3 Varignon's Theorem 14

Chapter 5．General Case of Forces in a Plane 15

§5-1 Resolution of a Given Force into a Force 15

and a Couple 15

§5-2 Reduction of a System of Coplanar Forces 16

§5-3 Equilibrium of Coplanar Forces 17

§5-4 Plane Truss 19

Chapter 6．Friction 21

§6-1 Friction Defined 21

§6-2 Coefficient of Friction and Angle of Friction 22

§6-3 Angle of Repose 23

§6-4 Types of Problems Involving Frictional Forces 24

Chapter 7．General Case of Forces in Space 25

§7-1 Reduction of a System of Forces in Space 25

§7-2 Equilibrium of Forces in Space 27

Chapter 8．Center of Gravity 28

§8-1 Center of Parallel Forces 28

§8-2 Center of Gravity and Centroid 29

Part Ⅱ．Kinematics 32

Chapter 9．Kinematics of a Point 32

§9-1 Types of Motion of a Point 32

§9-2 Rectilinear Motion of a Point 33

§9-3 Curvilinear Motion of a Point 36

§9-4 Tangential and Normal Components of Acceleration 39

§10-3 Rotation of a Rigid Body about a Fixed Axis 41

§10-2 Translation of a Rigid Body 41

§10-1 Types of Motion of Rigid Bodies 41

Chapter 10．Translation and Rotation 41

§10-4 Relations between Linear and Angular Velocities，Linear and Angular Accelera-tions in Rotation 43

Chapter 11．Relative Motion 44

§11-1 Introduction 44

§11-2 Relation between Relative and Absolute Velocities 45

§11-3 Relation between Relative and Absolute Accelerations 46

Chapter 12．Plane Motion 47

§12-1 Introduction 47

§12-2 Resolution of a Plane Motion 48

§12-3 Relation of Velocities in Plane Motion 49

§12-4 Instantaneous Center of Rotation 50

§12-5 Relation of Accelerations in Plane Motion 52

Chapter 13．Rotation of a Rigid Body about a Fixed Point 53

§13-1 Introduction 53

§13-2 The Eulerian Angles 54

§13-3 Angular Velocity and Angular Acceleration of a Rotating Body 55

Chapter 14．Principles of Kinetics 57

§14-1 Introduction 57

Part Ⅲ．Kinetics 57

§14-2 Newton's Laws 58

§14-3 Noninertial Reference System and Inertia Forces 61

Chapter 15．Differential Equations of Motion of a Particle 62

§15-1 Differential Equations of Motion of a Particle 62

§15-2 Motion of a Projectile 63

Chapter 16．Mechanical Vibrations 66

§16-1 Introduction 66

§16-2 Free Vibrations 68

§16-3 Free Vibrations with Viscous Damping 70

§16-4 Forced Vibrations 73

§16-5 Vibration Reduction 77

§17-1 Principle of Momentum of a Particle 79

Chapter 17．Principle of Momentum 79

§17-2 Principle of Momentum of a System of Particles 80

§17-3 Motion of the Mass Center of a System of Particles 81

Chapter 18．Principle of Moment of Momentum 83

§18-1 Principle of Moment of Momentum of a Particle 83

§18-2 Principle of Moment of Momentum of a System of Particles 85

§18-3 Equation of Motion for a Rigid Body 86

Rotating about a Fixed Axis 86

§18-4 Principle of Moment of Momentum of a System about Its Center of Mass 87

§18-5 Equations of Motion for a Rigid Body in Plane Motion 88

Chapter 19．Principle of Work and Energy 89

§19-1 Work Defined 89

§19-2 Force Field and Conservative Force 90

§19-3 Potential and Potential Energy 92

§19-4 Kinetic Energy 95

§19-6 Principle of Work and Energy for a System of Particles 98

§19-5 Principle of Work and Energy for a Particle 98

§19-7 Forces which Do No Work 99

§19-8 Law of Conservation of Mechanical Energy 101

Chapter 20．Moment of Inertia 103

§20-1 Definitions 103

§20-2 Parallel Axis Theorem 104

§20-3 Moment of Inertia about an Arbitrary Axis and Ellipsoid of Inertia 104

Chapter 21．Impact 109

§21-1 Introduction 109

§21-2 Direct Central Impact 111

§21-3 Center of Percussion 115

Chapter 22．D'Alembert's Principle 117

§22-1 D'A1embert's Principle and Inertia-Force Method 117

§22-2 Inertia Forces of a Rigid Body in Translation 118

§22-3 Inertia Forces of a Rigid Body in Centroidal Rotation 119

§22-4 Inertia Forces of a Rigid Body in Plane Motion 120

§22-5 Dynamical Pressures on the Bearings 121

Part Ⅳ．Elements of Analytical Mechanics 122

Chapter 23．Principle of Virtual Work 122

§23-1 Introduction 122

§23-2 Constraints and Degrees of Freedom 123

§23-3 Generalized Coordinates 126

§23-4 Virtual Displacements 128

§23-5 Virtual Work 129

§23-6 Principle of Virtual Work 131

§23-7 Equations of Equilibrium in Generalized Coordinates 133

§23-8 Stability of Equilibrium of Systems with One Degree of Freedom 137

Chapter 24．Lagrange's Equations 139

§24-1 Introduction 139

§24-2 Generalized Principle of D'Alembert 140

§24-3 Derivation of Lagrange's Equations 142

§24-4 Conservation Theorems 147