Mechanical and Structural Vibrations Theory and Applications

ISBN-10: 0471370843
ISBN-13: 9780471370840
Edition: 2001
List price: $223.95 Buy it from $48.91
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Description: This work examines vibrations, analytical derivations, computational procedures, problem solving, and interpretation of results, including a treatment of FFT technology and its application to vibrations.

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Book details

List price: $223.95
Copyright year: 2001
Publisher: John Wiley & Sons, Incorporated
Publication date: 1/17/2001
Binding: Paperback
Pages: 704
Size: 7.00" wide x 10.00" long x 1.00" tall
Weight: 2.838
Language: English

This work examines vibrations, analytical derivations, computational procedures, problem solving, and interpretation of results, including a treatment of FFT technology and its application to vibrations.

Equations of Motion for Discrete Systems
The Study of Vibrations: An Overview
System Elements
Generalized Coordinates
Newton-Euler Motion Equations
Power Balance Method for Time-Invariant Systems
Power Balance Law
Linearized Energy and Power
Linearized Equations of Motion
Implementation
References and Selected Readings
Exercises
Transient Response of One-Degree-of-Freedom System
Harmonic Functions
Basic Properties
Complex Variable Representation
Algebraic Operations
Free Vibration
Undamped Systems
Underdamped Systems
Overdamped Systems
Critically Damped Systems
Coulomb Friction
Transient Response to Basic Excitations
Method of Undetermined Coefficients
Superposition and Time Delay
Pulse Excitation
Step and Impulse Responses
Shock Spectra
References and Selected Readings
Exercises
Steady-State Response to Harmonic Excitation
Complex Frequency Response
Power Dissipation
Quality Factor of Resonance
Structural Damping
Resonant Response
Rotating Imbalance
Basic Model
Frequency Response
Whirling of Shafts
Force Transmission
Periodic Excitations
Complex Fourier Series
The Discrete Fourier Transform
The Inverse Discrete Fourier Transform
Explanation and Implementation of the FFT Algorithm
Periodic Response Using FFTs
Accelerometers and Seismometers
Transient Response Revisited
Convolution Integral
FFTs for Transient Response
References and Selected Readings
Exercises
Modal Analysis of Multi-Degree-of-Freedom Systems
Background
Eigenvalue Problem--Undamped Systems
Natural Frequencies and Modes
Orthogonality and Normalization
Computerized Implementations
Flexibility Coefficients
Repeated Natural Frequencies
Rigid Body Modes
Modal Equations
Coordinate Transformations
Modal Coordinates
Modal Coordinate Description of Mechanical Energy and Power
Free Vibration Response
Forced Response
Modal Damping
Harmonic Steady-State Response
References and Selected Readings
Exercises
Harmonic Excitation of Multi-Degree-of-Freedom Systems
Frequency Domain Transfer Function
Structural Damping and Modal Analysis
Vibration Absorber
FFT Techniques
Analysis of Transient Response
Experimental Modal Analysis
References and Selected Readings
Exercises
Vibration of Elastic Bars: the Ritz Method and the Rayleigh Ratio
Equations of Motion
Axial Displacement
Torsion of Circular Bars
Flexural Displacement
Implementation and Solution
Eigensolutions
Modal Analysis
Orthogonality of the Mode Functions
Modal Response
Initial Conditions: The Expansion Theorem
Free Vibration
Impulse Response
Harmonic Steady-State Response
Rayleigh Ratio and Convergence Properties
Time-Dependent Boundary Conditions
Ritz Method for Discrete Systems
References and Selected Readings
Exercises
Field Descriptions for Vibrating Bars
Derivation of Motion Equations
Field Equations
Boundary Conditions
Eigensolutions for Extension and Torsion
Eigensolution for Flexure
Wave Interpretation of Modes and High-Frequency Asymptotics
Symmetry and Mode Functions
Orthogonality
Modal Analysis of Response
Modal Equations
Steady-State and Transient Response
Time-Dependent Boundary Conditions
Mindlin-Goodman Decomposition
Harmonic Boundary Excitation Wave Solution
Timoshenko Beam Theory
Field Equations
Wave Solutions
Modal Analysis
References and Selected Readings
Exercises
The Finite Element Method
Interpolating Functions
Elemental Matrices
Conversion to Global Coordinates
Assembly of the Elements
Reaction Forces and Constraint Conditions
References and Selected Readings
Exercises
Substructuring Concepts
Method of Lagrange Multipliers
Constraint Equations and Reactions
Synthesis of the Equations of Motion
Solution Methods
Component Mode Synthesis
Relaxation of Constraints
Component Properties
References and Selected Readings
Exercises
Damped Modal Analysis: the State Space
State-Space Equations
Eigenvalue Problem
Relation to Previous Developments
Orthogonality
Modal Coordinates
Free Vibration
Impulsive Forces
Steady-State Harmonic Vibration
Rigid Body Motion
Closure
References and Selected Readings
Exercises
Modal Analysis of Gyroscopic Systems
General Linearized Equations of Motion
Right and Left Eigenvalue Problems
Dynamic Stability
Bi-orthogonality and Modal Equations of Motion
Moving Continuous Systems
References and Selected Readings
Exercises
Introduction to Rotordynamics
Elements of a Rotordynamic Model
Effects of Internal and External Damping
Flexible Orthotropic Bearings
Gyroscopic Effects
Flexible Orthotropic Shafts
References and Selected Readings
Exercises
Lagrange's Equations
Transient Responses for Underdamped One-Degree-of-Freedom Systems
Deformation Modes for Uniform Bars
Index

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