EBOOK - Theory of Vibration with Applications (William Thomson)

EBOOK - Lý thuyết rung động với các ứng dụng - Tác giả: William Thomson (558 Trang).

This book is arevision of the 3rd edition of Theory of Vibration with Appfications. The major addition is  Chapter 8, "Computational Methods," wh ich presents the basic principles on wh ich most modern computer programs on vibration theory are developed. The new text is accompanied by a networked software for the PC to solve the vibration problems most frequently encountered. The programs greatly expand the range of problems that can be solved for numerical solution.
The author believes that problem solving is  a vital part of the  learning process and the reader should understand the computational process carried out by the computer. With this facility, the mass and stiffness matrices are inputed, and the lengthy calculations for the eigenvalues and eigenvectors are delegated to the computer.
Besides the new chapter on computer methods, the material in other chapters is amplified and additional problems are introduced to take advantage of the computing programs offered by the computer disko.

1  OSCILLATORY MOTION  5
1.1  Harmonie Motion 6
1.2  Periodie Motion 9
1.3  Vibration Terminology  12
2  FREE VIBRATION  17
2.1  Vibration Model 17
2.2  Equations of Motion: Natural Frequency  18
2.3  Energy Method 22
2.4  Rayleigh Method: Effective Mass 24
2.5  Principle of Virtual Work 26
2.6  Viscously Damped Free Vibration  28
2.7  Logarithmie Decrement 33
2.8  Coulomb Damping 35
3  HARMONICALL Y EXCITED VIBRATION
3.1  Forced Harmonie Vibration  51
3.2  Rotating Unbalance  56
3.3  Rotor Unbalanee  58
3.4  Whirling of Rotating Shafts  61
3.5  Support Motion 66
3.6  Vibration Isolation  68
3.7  Energy Dissipated by Damping 70
3.8  Equivalent Viscous Damping 73
3.9  Structural Damping 75
3.10  Sharpness of Resonanee  77
3.11  Vibration-Measuring Instruments  78
4  TRANSIENT VIBRATION
4.1  Impulse Excitation  92
4.2  Arbitrary Excitation  94
4.3  Laplaee Transform Formulation  97
4.4  Pulse Excitation and Rise Time  100
4.5  Shock Response Speetrum  103
4.6  Shock Isolation  108
4.7  Finite Differenee Numerieal Computation  108
4.8  Runge-Kutta Method (Method 2)  117

5  SYSTEMS WITH TWO OR MORE DEGREES OFFREEDOM
5.1  The Normal Mode Analysis  131
5.2  Initial Conditions  135
5.3  Coordinate Coupling  138
5.4  Forced Harmonie Vibration  143
5.5  Digital Computation  145
Vibration Absorber  150
Centrifugal Pendulum Vibration Absorber  152
Vibration Damper 154
6  PROPERTIES OF VIBRATINO SYSTEMS
6.1  Flexibility Influence Coefficients  172
6.2  Reciprocity Theorem  175
6.3  Stiffness Influence Coefficients  176
6.4  Stiffness Matrix of Beam Elements  179
6.5  Static Condensation for Pinned Joints  183
6.6  Orthogonality of Eigenvectors  185
6.7  Modal Matrix P  187
6.8  Decoupling Forced Vibration Equations  189
6.9  Modal Damping in Forced Vibration  190
6.10  Normal Mode Summation  192
6.11  Equal Roots  195
6.12  Unrestrained (Degenerate) Systems  197
7  UORANOE'S EQUATION
7.1  Generalized Coordinates  207
7.2  Virtual Work 212
7.3  Lagrange's Equation  215
7.4  Kinetic Energy, Potential Energy, and Generalized Force in Terms of Generalized Coordinates
7.5  Assumed Mode Summation  223
B COMPUTATIONAL METHODS
8.1  Root Solving  235
8.2  Gauss Elimination  236
8.3  Matrix Iteration  238
8.4  Convergence of the Iteration Procedure  240
8.5  Convergence to Higher Modes 241
8.6  The Dynamic Matrix 246
8.7  Transformation of Coordinates (Standard Computer Form)
8.8  Systems with Discrete Mass Matrix 248
8.9  Cholesky Decomposition  249
8.10  Jacobi Diagonalization 253
8.11  Computer Program Notes  260
8.12  Description of Computer Programs  261
9  VIBRATION OF CONTINUOUS SYSTEMS  268
9.1  Vibrating String  268
9.2  Longitudinal Vibration of Rods  271
9.3  Torsional Vibration of Rods  273
9.4  Vibration of Suspension Bridges  276
9.5  Euler Equation for Beams  281
9.6  Effect of Rotary Inertia and Shear Deformation  286
9.7  System with Repeated Identical Sections  289
10 INTRODUCTION TO THE FINITE ELEMENT METHOD  301
10.1  Element Stiffness and Mass 301
10.2  Stiffness and Mass for the Beam Element  306
10.3  Transformation of Coordinates (Global Coordinates)  309
10.4  Element Stiffness and Element Mass in Global Coordinates  312
10.5  Vibrations Involving Beam Elements  317
10.6  Spring Constraints on Structure  324
10.7  Generalized Force for Distributed Load  327
10.8  Generalized Force Proportional to Displacement
11  MODE-SUMMATION PROCEDURES FOR CONTINUOUS SYSTEMS  345
11.1  Mode-Summation Method 345
11.2  Beam Orthogonality Inciuding Rotary Inertia and Shear Deformation 351
11.3  Normal Modes of Constrained Structures  353
11.4  Mode-Acceleration Method 358
11.5  Component-Mode Synthesis  360
12 CLASSICAL ItfETHODS
12.1  Rayleigh Method 371
12.2  Dunkerley's Equation  379
12.3  Rayleigh-Ritz Method 384

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EBOOK - Lý thuyết rung động với các ứng dụng - Tác giả: William Thomson (558 Trang).

This book is arevision of the 3rd edition of Theory of Vibration with Appfications. The major addition is  Chapter 8, "Computational Methods," wh ich presents the basic principles on wh ich most modern computer programs on vibration theory are developed. The new text is accompanied by a networked software for the PC to solve the vibration problems most frequently encountered. The programs greatly expand the range of problems that can be solved for numerical solution.
The author believes that problem solving is  a vital part of the  learning process and the reader should understand the computational process carried out by the computer. With this facility, the mass and stiffness matrices are inputed, and the lengthy calculations for the eigenvalues and eigenvectors are delegated to the computer.
Besides the new chapter on computer methods, the material in other chapters is amplified and additional problems are introduced to take advantage of the computing programs offered by the computer disko.

1  OSCILLATORY MOTION  5
1.1  Harmonie Motion 6
1.2  Periodie Motion 9
1.3  Vibration Terminology  12
2  FREE VIBRATION  17
2.1  Vibration Model 17
2.2  Equations of Motion: Natural Frequency  18
2.3  Energy Method 22
2.4  Rayleigh Method: Effective Mass 24
2.5  Principle of Virtual Work 26
2.6  Viscously Damped Free Vibration  28
2.7  Logarithmie Decrement 33
2.8  Coulomb Damping 35
3  HARMONICALL Y EXCITED VIBRATION
3.1  Forced Harmonie Vibration  51
3.2  Rotating Unbalance  56
3.3  Rotor Unbalanee  58
3.4  Whirling of Rotating Shafts  61
3.5  Support Motion 66
3.6  Vibration Isolation  68
3.7  Energy Dissipated by Damping 70
3.8  Equivalent Viscous Damping 73
3.9  Structural Damping 75
3.10  Sharpness of Resonanee  77
3.11  Vibration-Measuring Instruments  78
4  TRANSIENT VIBRATION
4.1  Impulse Excitation  92
4.2  Arbitrary Excitation  94
4.3  Laplaee Transform Formulation  97
4.4  Pulse Excitation and Rise Time  100
4.5  Shock Response Speetrum  103
4.6  Shock Isolation  108
4.7  Finite Differenee Numerieal Computation  108
4.8  Runge-Kutta Method (Method 2)  117

5  SYSTEMS WITH TWO OR MORE DEGREES OFFREEDOM
5.1  The Normal Mode Analysis  131
5.2  Initial Conditions  135
5.3  Coordinate Coupling  138
5.4  Forced Harmonie Vibration  143
5.5  Digital Computation  145
Vibration Absorber  150
Centrifugal Pendulum Vibration Absorber  152
Vibration Damper 154
6  PROPERTIES OF VIBRATINO SYSTEMS
6.1  Flexibility Influence Coefficients  172
6.2  Reciprocity Theorem  175
6.3  Stiffness Influence Coefficients  176
6.4  Stiffness Matrix of Beam Elements  179
6.5  Static Condensation for Pinned Joints  183
6.6  Orthogonality of Eigenvectors  185
6.7  Modal Matrix P  187
6.8  Decoupling Forced Vibration Equations  189
6.9  Modal Damping in Forced Vibration  190
6.10  Normal Mode Summation  192
6.11  Equal Roots  195
6.12  Unrestrained (Degenerate) Systems  197
7  UORANOE'S EQUATION
7.1  Generalized Coordinates  207
7.2  Virtual Work 212
7.3  Lagrange's Equation  215
7.4  Kinetic Energy, Potential Energy, and Generalized Force in Terms of Generalized Coordinates
7.5  Assumed Mode Summation  223
B COMPUTATIONAL METHODS
8.1  Root Solving  235
8.2  Gauss Elimination  236
8.3  Matrix Iteration  238
8.4  Convergence of the Iteration Procedure  240
8.5  Convergence to Higher Modes 241
8.6  The Dynamic Matrix 246
8.7  Transformation of Coordinates (Standard Computer Form)
8.8  Systems with Discrete Mass Matrix 248
8.9  Cholesky Decomposition  249
8.10  Jacobi Diagonalization 253
8.11  Computer Program Notes  260
8.12  Description of Computer Programs  261
9  VIBRATION OF CONTINUOUS SYSTEMS  268
9.1  Vibrating String  268
9.2  Longitudinal Vibration of Rods  271
9.3  Torsional Vibration of Rods  273
9.4  Vibration of Suspension Bridges  276
9.5  Euler Equation for Beams  281
9.6  Effect of Rotary Inertia and Shear Deformation  286
9.7  System with Repeated Identical Sections  289
10 INTRODUCTION TO THE FINITE ELEMENT METHOD  301
10.1  Element Stiffness and Mass 301
10.2  Stiffness and Mass for the Beam Element  306
10.3  Transformation of Coordinates (Global Coordinates)  309
10.4  Element Stiffness and Element Mass in Global Coordinates  312
10.5  Vibrations Involving Beam Elements  317
10.6  Spring Constraints on Structure  324
10.7  Generalized Force for Distributed Load  327
10.8  Generalized Force Proportional to Displacement
11  MODE-SUMMATION PROCEDURES FOR CONTINUOUS SYSTEMS  345
11.1  Mode-Summation Method 345
11.2  Beam Orthogonality Inciuding Rotary Inertia and Shear Deformation 351
11.3  Normal Modes of Constrained Structures  353
11.4  Mode-Acceleration Method 358
11.5  Component-Mode Synthesis  360
12 CLASSICAL ItfETHODS
12.1  Rayleigh Method 371
12.2  Dunkerley's Equation  379
12.3  Rayleigh-Ritz Method 384

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Chuyên mục: C. Bài giảng C. Bài giảng chuyên ngành Cơ khí - Chế tạo máy (Mechanical & Manufacturing Engineering) C. Bài giảng kỹ thuật