فهرست مطالب انگلیسی

Table of Contents

  • 1.1 Concept of Vibration
  • 1.2 Importance of Vibration
  • 1.3 Origins and Developments in Mechanics and Vibration
  • 1.4 History of Vibration of Continuous Systems
  • 1.5 Discrete and Continuous Systems
  • 1.6 Vibration Problems
  • 1.7 Vibration Analysis
  • 1.8 Excitations
  • 1.9 Harmonic Functions
  • 1.10 Periodic Functions and Fourier Series
  • 1.11 Nonperiodic Functions and Fourier Integrals
  • 1.12 Literature on Vibration of Continuous Systems
  • References
  • Problems
  • 2.1 Vibration of a Single-Degree-of-Freedom System
  • 2.2 Vibration of Multidegree-of-Freedom Systems
  • 2.3 Recent Contributions
  • References
  • Problems
  • 3.1 Introduction
  • 3.2 Newton’s Second Law of Motion
  • 3.3 D’Alembert’s Principle
  • 3.4 Equation of Motion of a Bar in Axial Vibration
  • 3.5 Equation of Motion of a Beam in Transverse Vibration
  • 3.6 Equation of Motion of a Plate in Transverse Vibration
  • 3.7 Additional Contributions
  • References
  • Problems
  • 4.1 Introduction
  • 4.2 Calculus of a Single Variable
  • 4.3 Calculus of Variations
  • 4.4 Variation Operator
  • 4.5 Functional with Higher-Order Derivatives
  • 4.6 Functional with Several Dependent Variables
  • 4.7 Functional with Several Independent Variables
  • 4.8 Extremization of a Functional with Constraints
  • 4.9 Boundary Conditions
  • 4.10 Variational Methods in Solid Mechanics
  • 4.11 Applications of Hamilton’s Principle
  • 4.12 Recent Contributions
  • References
  • Problems
  • 5.1 Introduction
  • 5.2 Classification of Integral Equations
  • 5.3 Derivation of Integral Equations
  • 5.4 General Formulation of the Eigenvalue Problem
  • 5.5 Solution of Integral Equations
  • 5.6 Recent Contributions
  • References
  • Problems
  • 6.1 Introduction
  • 6.2 General Problem
  • 6.3 Solution of Homogeneous Equations: Separation-of-Variables Technique
  • 6.4 Sturm–Liouville Problem
  • 6.5 General Eigenvalue Problem
  • 6.6 Solution of Nonhomogeneous Equations
  • 6.7 Forced Response of Viscously Damped Systems
  • 6.8 Recent Contributions
  • References
  • Problems
  • 7.1 Introduction
  • 7.2 Fourier Transforms
  • 7.3 Free Vibration of a Finite String
  • 7.4 Forced Vibration of a Finite String
  • 7.5 Free Vibration of a Beam
  • 7.6 Laplace Transforms
  • 7.7 Free Vibration of a String of Finite Length
  • 7.8 Free Vibration of a Beam of Finite Length
  • 7.9 Forced Vibration of a Beam of Finite Length
  • 7.10 Recent Contributions
  • References
  • Problems
  • 8.1 Introduction
  • 8.2 Equation of Motion
  • 8.3 Initial and Boundary Conditions
  • 8.4 Free Vibration of an Infinite String
  • 8.5 Free Vibration of a String of Finite Length
  • 8.6 Forced Vibration
  • 8.7 Recent Contributions
  • References
  • Problems
  • 9.1 Introduction
  • 9.2 Equation of Motion Using Simple Theory
  • 9.3 Free Vibration Solution and Natural Frequencies
  • 9.4 Forced Vibration
  • 9.5 Response of a Bar Subjected to Longitudinal Support Motion
  • 9.6 Rayleigh Theory
  • 9.7 Bishop’s Theory
  • 9.8 Recent Contributions
  • References
  • Problems
  • 10.1 Introduction
  • 10.2 Elementary Theory: Equation of Motion
  • 10.3 Free Vibration of Uniform Shafts
  • 10.4 Free Vibration Response due to Initial Conditions: Modal Analysis
  • 10.5 Forced Vibration of a Uniform Shaft: Modal Analysis
  • 10.6 Torsional Vibration of Noncircular Shafts: Saint-Venant’s Theory
  • 10.7 Torsional Vibration of Noncircular Shafts, Including Axial Inertia
  • 10.8 Torsional Vibration of Noncircular Shafts: Timoshenko–Gere Theory
  • 10.9 Torsional Rigidity of Noncircular Shafts
  • 10.10 Prandtl’s Membrane Analogy
  • 10.11 Recent Contributions
  • References
  • Problems
  • 11.1 Introduction
  • 11.2 Equation of Motion: Euler–Bernoulli Theory
  • 11.3 Free Vibration Equations
  • 11.4 Free Vibration Solution
  • 11.5 Frequencies and Mode Shapes of Uniform Beams
  • 11.6 Orthogonality of Normal Modes
  • 11.7 Free Vibration Response due to Initial Conditions
  • 11.8 Forced Vibration
  • 11.9 Response of Beams under Moving Loads
  • 11.10 Transverse Vibration of Beams Subjected to Axial Force
  • 11.11 Vibration of a Rotating Beam
  • 11.12 Natural Frequencies of Continuous Beams on Many Supports
  • 11.13 Beam on an Elastic Foundation
  • 11.14 Rayleigh’s Theory
  • 11.15 Timoshenko’s Theory
  • 11.16 Coupled Bending–Torsional Vibration of Beams
  • 11.17 Transform Methods: Free Vibration of an Infinite Beam
  • 11.18 Recent Contributions
  • References
  • Problems
  • 12.1 Introduction
  • 12.2 Equations of Motion of a Circular Ring
  • 12.3 In-Plane Flexural Vibrations of Rings
  • 12.4 Flexural Vibrations at Right Angles to the Plane of a Ring
  • 12.5 Torsional Vibrations
  • 12.6 Extensional Vibrations
  • 12.7 Vibration of a Curved Beam with Variable Curvature
  • 12.8 Recent Contributions
  • References
  • Problems
  • 13.1 Introduction
  • 13.2 Equation of Motion
  • 13.3 Wave Solution
  • 13.4 Free Vibration of Rectangular Membranes
  • 13.5 Forced Vibration of Rectangular Membranes
  • 13.6 Free Vibration of Circular Membranes
  • 13.7 Forced Vibration of Circular Membranes
  • 13.8 Membranes with Irregular Shapes
  • 13.9 Partial Circular Membranes
  • 13.10 Recent Contributions
  • References
  • Problems
  • 14.1 Introduction
  • 14.2 Equation of Motion: Classical Plate Theory
  • 14.3 Boundary Conditions
  • 14.4 Free Vibration of Rectangular Plates
  • 14.5 Forced Vibration of Rectangular Plates
  • 14.6 Circular Plates
  • 14.7 Free Vibration of Circular Plates
  • 14.8 Forced Vibration of Circular Plates
  • 14.9 Effects of Rotary Inertia and Shear Deformation
  • 14.10 Plate on an Elastic Foundation
  • 14.11 Transverse Vibration of Plates Subjected to In-Plane Loads
  • 14.12 Vibration of Plates with Variable Thickness
  • 14.13 Recent Contributions
  • References
  • Problems
  • 15.1 Introduction and Shell Coordinates
  • 15.2 Strain–Displacement Relations
  • 15.3 Love’s Approximations
  • 15.4 Stress–Strain Relations
  • 15.5 Force and Moment Resultants
  • 15.6 Strain Energy, Kinetic Energy, and Work Done by External Forces
  • 15.7 Equations of Motion from Hamilton’s Principle
  • 15.8 Circular Cylindrical Shells
  • 15.9 Equations of Motion of Conical and Spherical Shells
  • 15.10 Effect of Rotary Inertia and Shear Deformation
  • 15.11 Recent Contributions
  • References
  • Problems
  • 16.1 Introduction
  • 16.2 One-Dimensional Wave Equation
  • 16.3 Traveling-Wave Solution
  • 16.4 Wave Motion in Strings
  • 16.4.1 Free Vibration and Harmonic Waves
  • 16.5 Reflection of Waves in One-Dimensional Problems
  • 16.6 Reflection and Transmission of Waves at the Interface of Two Elastic Materials
  • 16.7 Compressional and Shear Waves
  • 16.8 Flexural Waves in Beams
  • 16.9 Wave Propagation in an Infinite Elastic Medium
  • 16.10 Rayleigh or Surface Waves
  • 16.11 Recent Contributions
  • References
  • Problems
  • 17.1 Introduction
  • 17.2 Rayleigh’s Quotient
  • 17.3 Rayleigh’s Method
  • 17.4 Rayleigh–Ritz Method
  • 17.5 Assumed Modes Method
  • 17.6 Weighted Residual Methods
  • 17.7 Galerkin’s Method
  • 17.8 Collocation Method
  • 17.9 Subdomain Method
  • 17.10 Least Squares Method
  • 17.11 Recent Contributions
  • References
  • Problems