EBOOK - Mechanical Vibrations Theory and Applications (S. Graham Kelly)


EBOOK - Lý thuyết và ứng dụng về rung động cơ học (S. Graham Kelly) - 898 Trang.

Engineers apply mathematics and science to solve problems. In a traditional undergraduate engineering curriculum, students begin their academic career by taking courses in mathematics and basic sciences such as chemistry and physics. Students begin to develop basic problem-solving skills in engineering courses such as statics, dynamics, mechanics of solids, fluid mechanics, and thermodynamics. In such courses, students learn to apply basic laws of nature, constitutive equations, and equations of state to develop solutions to abstract engineering problems.


NỘI DUNG:

CHAPTER 1 INTRODUCTION 1
1.1 The Study of Vibrations 1
1.2 Mathematical Modeling 4
1.2.1 Problem Identification 4
1.2.2 Assumptions 4
1.2.3 Basic Laws of Nature 6
1.2.4 Constitutive Equations 6
1.2.5 Geometric Constraints 6
1.2.6 Diagrams 6
1.2.7 Mathematical Solution 7
1.2.8 Physical Interpretation of Mathematical Results 7
1.3 Generalized Coordinates 7
1.4 Classification of Vibration 11
1.5 Dimensional Analysis 11
1.6 Simple Harmonic Motion 14
1.7 Review of Dynamics 16
1.7.1 Kinematics 16
1.7.2 Kinetics 18
1.7.3 Principle of Work-Energy 22
1.7.4 Principle of Impulse and Momentum 24
1.8 Two Benchmark Examples 27
1.8.1 Machine on the Floor of an Industrial Plant 27
1.8.2 Suspension System for a Golf Cart 28
1.9 Further Examples 29
1.10 Summary 34
1.10.1 Important Concepts 34
1.10.2 Important Equations 35
Problems 37
Short Answer Problems 37
Chapter Problems 41
CHAPTER 2 MODELING OF SDOF SYSTEMS 55
2.1 Introduction 55
2.2 Springs 56
2.2.1 Introduction 56
2.2.2 Helical Coil Springs 57
2.2.3 Elastic Elements as Springs 59
2.2.4 Static Deflection 61
2.3 Springs in Combination 62
2.3.1 Parallel Combination 62
2.3.2 Series Combination 62
2.3.3 General Combination of Springs 66
2.4 Other Sources of Potential Energy 68
2.4.1 Gravity 68
2.4.2 Buoyancy 70
2.5 Viscous Damping 71
2.6 Energy Dissipated by Viscous Damping 74
2.7 Inertia Elements 76
2.7.1 Equivalent Mass 76
2.7.2 Inertia Effects of Springs 79
2.7.3 Added Mass 83
2.8 External Sources  84
2.9 Free-Body Diagram Method 87
2.10 Static Deflections and Gravity 94
2.11 Small Angle or Displacement Assumption 97
2.12 Equivalent Systems Method 100
2.13 Benchmark Examples 106
2.13.1 Machine on a Floor in an Industrial Plant 106
2.10.2 Simplified Suspension System 107
2.14 Further Examples 108
2.15 Chapter Summary 116
2.15.1 Important Concepts 116
2.15.2 Important Equations 117
Problems 119
Short Answer Problems 119
Chapter Problems 123
HAPTER 3 FREE VIBRATIONS OF SDOF SYSTEMS 137
3.1 Introduction 137
3.2 Standard Form of Differential Equation 138
3.3 Free Vibrations of an Undamped System 140
3.4 Underdamped Free Vibrations 147
3.5 Critically Damped Free Vibrations 154
3.6 Overdamped Free Vibrations 156
3.7 Coulomb Damping 160
3.8 Hysteretic Damping 167
3.9 Other Forms of Damping 171
3.10 Benchmark Examples 174
3.10.1 Machine on the Floor of an Industrial Plant 174
3.10.2 Simplified Suspension System 175
3.11 Further Examples 178
3.12 Chapter Summary 185
3.12.1 Important Concepts 185
3.12.2 Important Equations 186
Problems 188
Short Answer Problems 188
Chapter Problems 194
CHAPTER 4 HARMONIC EXCITATION OF SDOF SYSTEMS 205
4.1 Introduction 205
4.2 Forced Response of an Undamped System Due
to a Single-Frequency Excitation 208
4.3 Forced Response of a Viscously Damped System
Subject to a Single-Frequency Harmonic Excitation 214
4.4 Frequency-Squared Excitations 220
4.4.1 General Theory 220
4.4.2 Rotating Unbalance 222
4.4.3 Vortex Shedding from Circular Cylinders 225
4.5 Response Due to Harmonic Excitation of Support 228
4.6 Vibration Isolation 234
4.7 Vibration Isolation from Frequency-Squared Excitations 238
4.8 Practical Aspects of Vibration Isolation 241
4.9 Multifrequency Excitations 244
4.10 General Periodic Excitations 246
4.10.1 Fourier Series Representation 246
4.10.2 Response of Systems Due to General Periodic Excitation 251
4.10.3 Vibration Isolation for Multi-Frequency and Periodic
Excitations 253
4.11 Seismic Vibration Measuring Instruments 255
4.11.1 Seismometers 255
4.11.2 Accelerometers 256
4.12 Complex Representations 259
4.13 Systems with Coulomb Damping 260
4.14 Systems with Hysteretic Damping 265
4.15 Energy Harvesting 268
...

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EBOOK - Lý thuyết và ứng dụng về rung động cơ học (S. Graham Kelly) - 898 Trang.

Engineers apply mathematics and science to solve problems. In a traditional undergraduate engineering curriculum, students begin their academic career by taking courses in mathematics and basic sciences such as chemistry and physics. Students begin to develop basic problem-solving skills in engineering courses such as statics, dynamics, mechanics of solids, fluid mechanics, and thermodynamics. In such courses, students learn to apply basic laws of nature, constitutive equations, and equations of state to develop solutions to abstract engineering problems.


NỘI DUNG:

CHAPTER 1 INTRODUCTION 1
1.1 The Study of Vibrations 1
1.2 Mathematical Modeling 4
1.2.1 Problem Identification 4
1.2.2 Assumptions 4
1.2.3 Basic Laws of Nature 6
1.2.4 Constitutive Equations 6
1.2.5 Geometric Constraints 6
1.2.6 Diagrams 6
1.2.7 Mathematical Solution 7
1.2.8 Physical Interpretation of Mathematical Results 7
1.3 Generalized Coordinates 7
1.4 Classification of Vibration 11
1.5 Dimensional Analysis 11
1.6 Simple Harmonic Motion 14
1.7 Review of Dynamics 16
1.7.1 Kinematics 16
1.7.2 Kinetics 18
1.7.3 Principle of Work-Energy 22
1.7.4 Principle of Impulse and Momentum 24
1.8 Two Benchmark Examples 27
1.8.1 Machine on the Floor of an Industrial Plant 27
1.8.2 Suspension System for a Golf Cart 28
1.9 Further Examples 29
1.10 Summary 34
1.10.1 Important Concepts 34
1.10.2 Important Equations 35
Problems 37
Short Answer Problems 37
Chapter Problems 41
CHAPTER 2 MODELING OF SDOF SYSTEMS 55
2.1 Introduction 55
2.2 Springs 56
2.2.1 Introduction 56
2.2.2 Helical Coil Springs 57
2.2.3 Elastic Elements as Springs 59
2.2.4 Static Deflection 61
2.3 Springs in Combination 62
2.3.1 Parallel Combination 62
2.3.2 Series Combination 62
2.3.3 General Combination of Springs 66
2.4 Other Sources of Potential Energy 68
2.4.1 Gravity 68
2.4.2 Buoyancy 70
2.5 Viscous Damping 71
2.6 Energy Dissipated by Viscous Damping 74
2.7 Inertia Elements 76
2.7.1 Equivalent Mass 76
2.7.2 Inertia Effects of Springs 79
2.7.3 Added Mass 83
2.8 External Sources  84
2.9 Free-Body Diagram Method 87
2.10 Static Deflections and Gravity 94
2.11 Small Angle or Displacement Assumption 97
2.12 Equivalent Systems Method 100
2.13 Benchmark Examples 106
2.13.1 Machine on a Floor in an Industrial Plant 106
2.10.2 Simplified Suspension System 107
2.14 Further Examples 108
2.15 Chapter Summary 116
2.15.1 Important Concepts 116
2.15.2 Important Equations 117
Problems 119
Short Answer Problems 119
Chapter Problems 123
HAPTER 3 FREE VIBRATIONS OF SDOF SYSTEMS 137
3.1 Introduction 137
3.2 Standard Form of Differential Equation 138
3.3 Free Vibrations of an Undamped System 140
3.4 Underdamped Free Vibrations 147
3.5 Critically Damped Free Vibrations 154
3.6 Overdamped Free Vibrations 156
3.7 Coulomb Damping 160
3.8 Hysteretic Damping 167
3.9 Other Forms of Damping 171
3.10 Benchmark Examples 174
3.10.1 Machine on the Floor of an Industrial Plant 174
3.10.2 Simplified Suspension System 175
3.11 Further Examples 178
3.12 Chapter Summary 185
3.12.1 Important Concepts 185
3.12.2 Important Equations 186
Problems 188
Short Answer Problems 188
Chapter Problems 194
CHAPTER 4 HARMONIC EXCITATION OF SDOF SYSTEMS 205
4.1 Introduction 205
4.2 Forced Response of an Undamped System Due
to a Single-Frequency Excitation 208
4.3 Forced Response of a Viscously Damped System
Subject to a Single-Frequency Harmonic Excitation 214
4.4 Frequency-Squared Excitations 220
4.4.1 General Theory 220
4.4.2 Rotating Unbalance 222
4.4.3 Vortex Shedding from Circular Cylinders 225
4.5 Response Due to Harmonic Excitation of Support 228
4.6 Vibration Isolation 234
4.7 Vibration Isolation from Frequency-Squared Excitations 238
4.8 Practical Aspects of Vibration Isolation 241
4.9 Multifrequency Excitations 244
4.10 General Periodic Excitations 246
4.10.1 Fourier Series Representation 246
4.10.2 Response of Systems Due to General Periodic Excitation 251
4.10.3 Vibration Isolation for Multi-Frequency and Periodic
Excitations 253
4.11 Seismic Vibration Measuring Instruments 255
4.11.1 Seismometers 255
4.11.2 Accelerometers 256
4.12 Complex Representations 259
4.13 Systems with Coulomb Damping 260
4.14 Systems with Hysteretic Damping 265
4.15 Energy Harvesting 268
...

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