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| موضوع: كتاب Elements of Vibration Analysis السبت 03 أغسطس 2019, 3:32 pm | |
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أخوانى فى الله أحضرت لكم كتاب Elements of Vibration Analysis Second Edition Leonard Meiroviteh College of Engineering Virginia Polytechnic Institute and State University
و المحتوى كما يلي :
Contents Preface Introduction Chapter 1 Free Response of Single-degree-of-freedom Linear Systems 1.1 General Considerations 1.2 Characteristics of Discrete System Components 1.3 Differential Equations of Motion for First-order and Secondorder Linear Systems 1.4 Small Motions About Equilibrium Positions 1.5 Force-free Response of First-order Systems 1.6 Harmonic Oscillator 1.7 Free Vibration of Damped Second-order Systems 1.8 Logarithmic Decrement 1.9 Coulomb Damping. Dry Friction Problems Chapter 2 Forced Response of Single-degree-of-freedom Linear Systems 2.1 General Considerations 2.2 Response of First-order Systems to Harmonic Excitation. Frequency Response 2.3 Response of Second-order Systems to Harmonic Excitation 2.4 Rotating Unbalanced Masses 2.5 Whirling of Rotating Shafts 2.6 Harmonic Motion of the Support 2.7 Complex Vector Representation of Harmonic Motion 2.8 Vibration Isolation 2.9 Vibration Measuring Instruments 2.10 Energy Dissipation. Structural Damping 2.11 the Superposition Principle 2.12 Response to Periodic Excitation. Fourier Series 2.13 the Unit Impulse. Impulse Response 2.14 the Unit Step Function. Step Response 2.15 Response to Arbitrary Excitation. The Convolution Integral 2.16 Shock Spectrum 2.17 System Response by the Laplace Transformation Method. Transfer Function 2.18 General System Response Problems Chapter 3 Two-degree-of-freedom Systems 3.1 Introduction 3.2 Equations of Motion for a Two-degree-of-freedom System 3.3 Free Vibration of Undamped Systems. Natural Modes ^3.5 3, Coordinate Orthogonality Transformations of Modes. Natural . Coupling Coordinates 3.6 Response of a Two-degree-of-freedom System to Initial Excitation 3.7 Beat Phenomenon 3.8 Response of a Two-degree-of-freedom System to Harmonic Excitation 3.9 Undamped Vibration Absorbers Problems Chapter 4 Multi-degree-of-freedom Systems 4.1 Introduction 4.2 Newton’s Equations of Motion. Generalized Coordinates 4.3 Equations of Motion for Linear Systems. Matrix Formulation 4.4 Influence Coefficients 4.5 Properties of the Stiffness and Inertia Coefficients 4.6 Linear Transformations. Coupling L4j\ Undamped Free Vibration. Eigenvalue Problem ( 4.8 Orthogonality of Modal Vectors. Expansion Theorem 4.10 4^9 Solution Response of of Systems the Eigenvalue to Initialproblem Excitationby . Modal the Characteristic Analysis Determinant 4.11 Solution of the Eigenvalue Problem by the Matrix Iteration. Power Method Using Matrix Deflation 4.12 Systems Admitting Rigid-body Motions 4.13 Rayleigh’s Quotient 4.14 General Response of Discrete Linear Systems. Modal Analysis Problems Chapter 5 Continuous Systems. Exact Solutions 5.1 General Discussion 5.2 Relation Between Discrete and Continuous Systems. Boundaryvalue Problem 5.3 Free Vibration. The Eigenvalue Problem 5.4 Continuous Versus Discrete Models for the Axial Vibration of Rods 5.5 Bending Vibration of Bars. Boundary Conditions 5.6 Natural Modes of a Bar in Bending Vibration 5.7 Orthogonality of Natural Modes. Expansion Theorem “(5jp. Rayleigh’s Quotient 5.9 Response of Systems by Modal Analysis 5.10 the Wave Equation 5.11 Kinetic and Potential Energy for Continuous Systems Problems Chapter 6 Elements of Analytical Dynamics 6.1 General Discussion 6.2 Work and Energy 6.3 the Principle of Virtual Work 6.4 D’alembert’s Principle 6.5 Lagrange’s Equations of Motion 6.6 Lagrange’s Equations of Motion for Linear Systems Problems Chapter 7 Continuous Systems. Approximate Methods ^ 7.1 7.2 General Rayleigh’considerations S Energy Method 7.3 the Rayleigh-ritz Method. The Inclusion Principle 7.4 Assumed-modes Method 7.5 Symmetric and Antisymmetric Modes 7.6 Response of Systems by the Assumed-modes Method 7.7 Holzer’s Method for Torsional Vibration 7.8 Lumped-parameter Method Employing Influence Coefficients, Problems . Chapter 8 the Finite Element Method 8.1 General Considerations 8.2\ Derivation of the Element Stiffness Matrix by the Direct Approach 8.3 Element Equations of Motion. A Consistent Approach 8.4 Reference Systems 8.5 the Equations of Motion for the Complete System. The Assembling Process 8.6 the Eigenvalue Problem. The Finite Element Method as a Rayleigh-ritz Method 8.7 Higher-degree Interpolation Functions. Internal Nodes 8.8 the Hierarchical Finite Element Method 8.9 the Inclusion Principle Revisited Problems Nonlinear Systems. Geometric Theory Introduction Fundamental Concepts in Stability Single-degree-of-freedom Autonomous Systems. Phase Plane Plots Routh-hurwitz Criterion Conservative Systems. Motion in the Large Limit Cycles Liapunov’s Direct Method Problems Chapter 9 Nonlinear Systems. Perturbation Methods General Considerations The Fundamental Perturbation Technique Secular Terms Lindstedt’s Method Forced Oscillation of Quasi-harmonic Systems. Jump Phenomenon Subharmonics and Combination Harmonics Systems With Time-dependent Coefficients. Mathieu’s Equation Problems Random Vibrations General Considerations Ensemble Averages. Stationary Random Processes Time Averages. Ergodic Random Processes Mean Square Values Probability Density Functions Description of Random Data in Terms of Probability Density Functions Properties of Autocorrelation Functions Response to Random Excitation. Fourier Transforms Power Spectral Density Functions Narrowband and Wideband Random Processes Response of Linear Systems to Stationary Random Excitation Response of Single-degree-of-freedom Systems to Random Excitation Joint Probability Distribution of Two Random Variables Joint Properties of Stationary Random Processes Joint Properties of Ergodic Random Processes Response Cross-correlation Functions for Linear Systems Response of Multi-degree-of-freedom Systems to Random Excitation Response of Continuous Systems to Random Excitation Problems Chapter 11 Contents Xlil Chapter 12 Computational Techniques Introduction 12.2 Response of Linear Systems by the Transition Matrix 12.3 Computation of the Transition Matrix Alternative Computation of the Transition Matrix 112.5 ], Response of General Damped Systems by the Transition Matrix 12.6 Discrete-time Systems 12.7 the Runge-kutta Methods 12.8 the Frequency-domain Convolution Theorem 12.9 Fourier Series as a Special Case of the Fourier Integral 12.10 Sampled Functions 12.11 the Discrete Fourier Transform 12.12 the Fast Fourier Transform Problems Appendixes 519 A Fourier Series Introduction Orthogonal Sets of Functions Trigonometric Series Complex Form of Fourier Series B Elements of Laplace Transformation General Definitions Transformation of Derivatives Transformation of Ordinary Differential Equations The Inverse Laplace Transformation The Convolution Integral. Borel’s Theorem Table of Laplace Transform Pairs C Elements of Linear Algebra General Considerations Matrices Vector Spaces Linear Transformations Bibliography Index
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