Vibration Theory and Applications with Finite Elements and Active Vibration Control 1st Edition by Alan Palazzolo – Ebook PDF Instant Download/Delivery: 1118404254, 9781118404256
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Product details:
ISBN 10: 1118404254
ISBN 13: 9781118404256
Author: Alan Palazzolo
Based on many years of research and teaching, this book brings together all the important topics in linear vibration theory, including failure models, kinematics and modeling, unstable vibrating systems, rotordynamics, model reduction methods, and finite element methods utilizing truss, beam, membrane and solid elements. It also explores in detail active vibration control, instability and modal analysis. The book provides the modeling skills and knowledge required for modern engineering practice, plus the tools needed to identify, formulate and solve engineering problems effectively.
Vibration Theory and Applications with Finite Elements and Active Vibration Control 1st Table of contents:
Chapter 1: Background, Motivation, and Overview
1.1 INTRODUCTION
1.2 BACKGROUND
1.3 OUR VIBRATING WORLD
1.4 HARMFUL EFFECTS OF VIBRATION
1.5 STIFFNESS, INERTIA, AND DAMPING FORCES
1.6 APPROACHES FOR OBTAINING THE DIFFERENTIAL EQUATIONS OF MOTION
1.7 FINITE ELEMENT METHOD
1.8 ACTIVE VIBRATION CONTROL
1.9 CHAPTER 1 EXERCISES
REFERENCES
Chapter 2: Preparatory Skills: Mathematics, Modeling, and Kinematics
2.1 INTRODUCTION
2.2 GETTING STARTED WITH MATLAB AND MAPLE
2.3 VIBRATION AND DIFFERENTIAL EQUATIONS
2.4 TAYLOR SERIES EXPANSIONS AND LINEARIZATION
2.5 COMPLEX VARIABLES (CV) AND PHASORS
2.6 DEGREES OF FREEDOM, MATRICES, VECTORS, AND SUBSPACES
2.7 COORDINATE TRANSFORMATIONS
2.8 EIGENVALUES AND EIGENVECTORS
2.9 FOURIER SERIES
2.10 LAPLACE TRANSFORMS, TRANSFER FUNCTIONS, AND CHARACTERISTIC EQUATIONS
2.11 KINEMATICS AND KINEMATIC CONSTRAINTS
2.12 DIRAC DELTA AND HEAVISIDE FUNCTIONS
2.13 CHAPTER 2 EXERCISES
REFERENCES
Chapter 3: Equations of Motion by Newton’s Laws
3.1 INTRODUCTION
3.2 PARTICLE MOTION APPROXIMATION
3.3 PLANAR (2D) RIGID BODY MOTION APPROXIMATION
3.4 IMPULSE AND MOMENTUM
3.5 VARIABLE MASS SYSTEMS
3.6 CHAPTER 3 EXERCISES
REFERENCES
Chapter 4: Equations of Motion by Energy Methods
4.1 INTRODUCTION
4.2 KINETIC ENERGY
4.3 EXTERNAL AND INTERNAL WORK AND POTENTIAL ENERGY
4.4 POWER AND WORK–ENERGY LAWS
4.5 LAGRANGE EQUATION FOR PARTICLES AND RIGID BODIES
4.6 LE FOR FLEXIBLE, DISTRIBUTED MASS BODIES: ASSUMED MODES APPROACH
4.7 LE FOR FLEXIBLE, DISTRIBUTED MASS BODIES: FINITE ELEMENT APPROACH—GENERAL FORMULATION
4.8 LE FOR FLEXIBLE, DISTRIBUTED MASS BODIES: FINITE ELEMENT APPROACH—BAR/TRUSS MODES
4.9 CHAPTER 4 EXERCISES
REFERENCES
Chapter 5: Free Vibration Response
5.1 INTRODUCTION
5.2 SINGLE DEGREE OF FREEDOM SYSTEMS
5.3 TWO-DEGREE-OF-FREEDOM SYSTEMS
5.4 N-DEGREE-OF-FREEDOM SYSTEMS
5.5 INFINITE DOF CONTINUOUS MEMBER SYSTEMS
5.6 UNSTABLE FREE VIBRATIONS
5.7 SUMMARY
5.8 CHAPTER 5 EXERCISES
REFERENCES
Chapter 6: Vibration Response Due to Transient Loading
6.1 INTRODUCTION
6.2 SINGLE DEGREE OF FREEDOM TRANSIENT RESPONSE
6.3 MODAL CONDENSATION OF NDOF: TRANSIENT FORCED VIBRATING SYSTEMS
6.4 NUMERICAL INTEGRATION OF NDOF TRANSIENT VIBRATION RESPONSE
6.5 SUMMARY
6.6 CHAPTER 6 EXERCISES
REFERENCES
Chapter 7: Steady-State Vibration Response to Periodic Loading
7.1 INTRODUCTION
7.2 COMPLEX PHASOR APPROACH
7.3 SINGLE DEGREE OF FREEDOM MODELS
7.4 TWO DEGREE OF FREEDOM RESPONSE
7.5 N DEGREE OF FREEDOM STEADY-STATE HARMONIC RESPONSE
7.6 OTHER PHASOR RATIO MEASURES OF STEADY-STATE HARMONIC RESPONSE
7.7 SUMMARY
7.8 CHAPTER 7 EXERCISES
REFERENCES
Chapter 8: Approximate Methods for Large-Order Systems
8.1 INTRODUCTION
8.2 GUYAN REDUCTION: STATIC CONDENSATION
8.3 SUBSTRUCTURES: SUPERELEMENTS
8.4 MODAL SYNTHESIS
8.5 EIGENVALUE/NATURAL FREQUENCY CHANGES FOR PERTURBED SYSTEMS
8.6 SUMMARY
8.7 CHAPTER 8 EXERCISES
REFERENCES
Chapter 9: Beam Finite Elements for Vibration Analysis
9.1 INTRODUCTION
9.2 MODELING 2D FRAME STRUCTURES WITH EULER–BERNOULLI BEAM ELEMENTS
9.3 THREE-DIMENSIONAL TIMOSHENKO BEAM ELEMENTS: INTRODUCTION
9.4 3D TIMOSHENKO BEAM ELEMENTS: NODAL COORDINATES
9.5 3D TIMOSHENKO BEAM ELEMENTS: SHAPE FUNCTIONS, ELEMENT STIFFNESS, AND MASS MATRICES
9.6 3D TIMOSHENKO BEAM ELEMENT FORCE VECTORS
9.7 3D FRAME: BEAM ELEMENT ASSEMBLY ALGORITHM
9.8 2D FRAME MODELING WITH TIMOSHENKO BEAM ELEMENTS
9.9 SUMMARY
9.10 CHAPTER 9 EXERCISES
REFERENCES
Chapter 10: 2D Planar Finite Elements for Vibration Analysis
10.1 INTRODUCTION
10.2 PLANE STRAIN (Pε)
10.3 PLANE STRESS (Pσ)
10.4 PLANE STRESS AND PLANE STRAIN: ELEMENT STIFFNESS AND MASS MATRICES AND FORCE VECTOR
10.5 ASSEMBLY PROCEDURE FOR 2D, 4-NODE, QUADRILATERAL ELEMENTS
10.6 COMPUTATION OF STRESSES IN 2D SOLID ELEMENTS
10.7 EXTRA SHAPE FUNCTIONS TO IMPROVE ACCURACY
10.8 ILLUSTRATIVE EXAMPLE
10.9 2D AXISYMMETRIC MODEL
10.10 AUTOMATED MESH GENERATION: CONSTANT STRAIN TRIANGLE ELEMENTS
10.11 MEMBRANES
10.12 BANDED STORAGE
10.13 CHAPTER 10 EXERCISES
REFERENCES
Chapter 11: 3D Solid Elements for Vibration Analysis
11.1 INTRODUCTION
11.2 ELEMENT STIFFNESS MATRIX
11.3 THE ELEMENT MASS MATRIX AND FORCE VECTOR
11.4 ASSEMBLY PROCEDURE FOR THE 3D, 8-NODE, HEXAHEDRAL ELEMENT MODEL
11.5 COMPUTATION OF STRESSES FOR A 3D HEXAHEDRAL SOLID ELEMENT
11.6 3D SOLID ELEMENT MODEL EXAMPLE
11.7 3D SOLID ELEMENT SUMMARY
11.8 CHAPTER 11 EXERCISES
REFERENCES
Chapter 12: Active Vibration Control
12.1 INTRODUCTION
12.2 AVC SYSTEM MODELING
12.3 AVC ACTUATOR MODELING
12.4 SYSTEM MODEL WITH AN INFINITE BANDWIDTH FEEDBACK APPROXIMATION
12.5 SYSTEM MODEL WITH FINITE BANDWIDTH FEEDBACK
12.6 SYSTEM MODEL WITH FINITE BANDWIDTH FEEDBACK AND LEAD COMPENSATION
12.7 SENSOR/ACTUATOR NONCOLLOCATION EFFECT ON VIBRATION STABILITY
12.8 PIEZOELECTRIC ACTUATORS
12.9 SUMMARY
12.10 CHAPTER 12 EXERCISES
REFERENCES
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Alan Palazzolo,Vibration Theory,Applications,Finite Elements,Vibration Control