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Static and Dynamic Analysis of Structures with An Emphasis on Mechanics and Computer Matrix Methods

This book is concerned with the static and dynamic analysis of structures. Specifi­ cally, it uses the stiffness formulated matrix methods for use on computers to tackle some of the fundamental problems facing engineers in structural mechanics. This is done by covering the Mechanics of Structures, i...

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Bibliographic Details
Main Author: Doyle, J.F.
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 1991, 1991
Edition:1st ed. 1991
Series:Solid Mechanics and Its Applications
Subjects:
Classical Mechanics
Automotive Engineering
Civil Engineering
Mechanical Engineering
Mechanics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 9.4 Approximate Matrix Formulation
  • 9.5 Matrix Form of Dynamic Problems
  • Problems
  • Exercises
  • 10 Vibration of Beam Structures
  • 10.1 Spectral Analysis of Beams
  • 10.2 Structural Connections
  • 10.3 Exact Matrix Formulation
  • 10.4 Approximate Matrix Formulation
  • 10.5 Beam Structures Problems
  • Problems
  • Exercises
  • 11 Modal Analysis of Frames
  • 11.1 Dynamic Stiffness for Space Frames
  • 11.2 Modal Matrix
  • 11.3 Transformation to Principal Coordinates
  • 11.4 Forced Damped Motion
  • 11.5 The Modal Model
  • 11.6 Dynamic Structural Testing
  • 11.7 Structural Modification
  • Problems
  • Exercises
  • 12 General Structural Principles II
  • 12.1 Elements of Analytical Dynamics
  • 12.2 Hamilton’s Principle
  • 12.3 Approximate Structural Theories
  • 12.4 Lagrange’s Equation
  • 12.5 The Ritz Method
  • 12.6 Ritz Method Applied to Discrete Systems
  • 12.7 Rayleigh Quotient
  • Problems
  • Exercises
  • 13 Computer Methods II
  • 13.1 Finite Differences
  • 1 Background and Scope
  • 1.1 Structural Analysis
  • 1.2 Types of Structures Considered
  • 1.3 Mechanics of Structures
  • 1.4 Degrees of Freedom
  • 1.5 Time Varying Loads
  • 1.6 Computers and Algorithms
  • 1.7 Systems of Units
  • Exercises
  • 2 Rod Structures
  • 2.1 Rod Theory
  • 2.2 Rod Element Stiffness Matrix
  • 2.3 Structural Stiffness Matrix
  • 2.4 Boundary Conditions
  • 2.5 Member Distributions and Reaction
  • 2.6 Distributed Loads
  • Problems
  • Exercises
  • 3 Beam Structures
  • 3.1 Beam Theory
  • 3.2 Beam Element Stiffness Matrix
  • 3.3 Structural Stiffness Matrix
  • 3.4 Equivalent Loads
  • 3.5 Elastic Supports
  • 3.6 Member Loads and Reactions
  • Problems
  • Exercises
  • 4 Truss and Frame Analysis
  • 4.1 Truss Analysis
  • 4.2 Plane Frame Analysis
  • 4.3 Space Frames
  • 4.4 Determining the Rotation Matrix
  • 4.5 Special Considerations
  • 4.6 Substructuring
  • Problems
  • Exercises
  • 5 Structural Stability
  • 5.1 Elastic Stability
  • 5.2 Stability of Truss Structures
  • 5.3 Matrix Formulation for Truss Stability
  • 5.4 Beams with Axial Forces
  • 5.5 Beam Buckling
  • 5.6 Matrix Analysis of Stability of Beams
  • 5.7 Stability of Space Frames
  • Problems
  • Exercises
  • 6 General Structural Principles I
  • 6.1 Work and Strain Energy
  • 6.2 Linear Elastic Structures
  • 6.3 Virtual Work
  • 6.4 Stationary Potential Energy
  • 6.5 Ritz Approximate Analysis
  • 6.6 The Finite Element Method
  • 6.7 Stability Reconsidered
  • Problems
  • Exercises
  • 7 Computer Methods I
  • 7.1 Computers and Data Storage
  • 7.2 Structural Analysis Programs
  • 7.3 Node Renumbering
  • 7.4 Solving Simultaneous Equations
  • 7.5 Solving Eigenvalue Problems
  • Problems
  • Exercises
  • 8 Dynamics of Elastic Systems
  • 8.1 Harmonic Motion and Vibration
  • 8.2 Complex Notation
  • 8.3 Damping
  • 8.4 Forced Response
  • Problems
  • Exercises
  • 9 Vibration of Rod Structures
  • 9.1 Rod Theory
  • 9.2 Structural Connections
  • 9.3 Exact Dynamic Stiffness Matrix
  • 13.2 Direct Integration Methods
  • 13.3 Newmark’s Method
  • 13.4 Complete Solution of Eigensystems
  • 13.5 Generalized Jacobi Method
  • 13.6 Subspace Iteration
  • 13.7 Selecting a Dynamic Solver
  • Problems
  • Exercises
  • A Matrices and Linear Algebra
  • A.1 Matrix Notation
  • A.2 Matrix Operations
  • A.3 Vector and Matrix Norms
  • A.4 Determinants
  • A.5 Solution of Simultaneous Equations
  • A.6 Eigenvectors and Eigenvalues
  • A.7 Vector Spaces
  • B Spectral Analysis
  • B.1 Continuous Fourier Transform
  • B.2 Periodic Functions: Fourier series
  • B.3 Discrete Fourier Transform
  • B.4 Fast Fourier Transform Algorithm
  • C Computer Source Code
  • C.1 Compiling the Source Code
  • C.2 Manual and Tutorial
  • C.3 Source Code for STADYN
  • C.4 Source Code from MODDYN
  • References

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