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Vibrations of Engineering Structures

The increasing size and complexity of new structural forces in engineering have made it necessary for designers to be aware of their dynamic behaviour. Dynamics is a subject which has traditionally been poorly taught in most engineering courses. This book was conceived as a way of providing engineer...

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Bibliographic Details
Main Authors: Brebbia, C.A., Tottenham, H. (Author), Warburton, G.B. (Author), Wilson, J.M. (Author)
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 1985, 1985
Edition:1st ed. 1985
Series:Lecture Notes in Engineering
Subjects:
Classical Mechanics
Engineering, Architectural
Building Construction And Design
Building
Buildings—design And Construction
Construction
Mechanics
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 1 Introduction to Vibration
  • 1. Introductory Remarks
  • 2. Single Degree of Freedom Systems: Equations of Motion and Types of Problem
  • 3. Response
  • 4. General Structures: Equations of Motion
  • 5. Response
  • 6. Dynamic Interaction Problems
  • 2 Free Vibration, Resonance and Damping
  • 1. Introduction
  • 2. Spring-Mass System
  • 3. Simple Pendulum
  • 4. Beam with Central Load
  • 5. Rolling of a Ship
  • 6. Springs in Parallel
  • 7. Springs in Series
  • 8. Free Vibration
  • 9. Energy of Vibrating System
  • 10. Damped Free Vibration
  • 11. Undamped Forced Response
  • 12. Damped Forced Response
  • 13. Undamped Transient Vibration
  • 14. Damped Transient Vibration
  • 15. Summary of Results
  • 3 Vibrations of Multi-Degree of Freedom Systems
  • 1. Introduction
  • 2. Free Vibrations of Two Degree of Freedom Systems
  • 3. Free Vibrations of a Multi-Degree of Freedom System
  • 4. Orthogonality of Mode Shapes
  • 5. Modal Decomposition
  • 6. Damped Free Vibrations of Multi-Degree of Freedom Systems
  • 7. Forced Vibrations of Multi-Degree of Freedom Systems
  • 4 Eigenvalue-Eigenvector Solution
  • 1. Introduction
  • 2. Three Degree of Freedom System
  • 3. Zeros of Determinants
  • 4. Banded and Symmetric Matrices
  • 5. Reduction of Eigenvalue Equation to Standard Form
  • 6. Solution of Standard Eigenvalue Equations by Stürm Sequence Technique
  • 7. Solution of the Original Equations using Stürm Sequence Technique
  • 8. Simultaneous Iteration
  • 9. Comparison of Eigenvalue Solution Methods
  • 10. Node Condensation
  • 11. Substructure Analysis
  • 12. Rate of Change of Eigenvalues
  • 5 Approximate Methods for Calculating Natural Frequencies and Dynamic Response of Elastic Systems
  • 1. Equivalent One Degree of Freedom Systems
  • 2. Continuous Beams
  • 3. Distribution Methods
  • 4. Multi-Storey Frames
  • 6 Determination of Response
  • 1. Introductory Remarks
  • 2. Steady State Response
  • 3. Damping
  • 9. Conclusions
  • 11 Vibration of Axi-Symmetric Shells
  • 1. Introduction
  • 2. Novozhilov’s Thin Shell Theory
  • 3. Finite Element Displacement Method applied to Axi-Symmetric Shells
  • 4. Vibration Applications
  • 5. Example
  • Appendix. Matrices used in the Text
  • 12 Some Recent Advances in Structural Vibration
  • 1. Introductory Remarks
  • 2. Direct Integration Methods
  • 3. Accuracy
  • 4. Non-linear Problems
  • 5. Partitioning
  • 13 Fluid Structure Interaction Problems
  • 1. Introduction
  • 2. The Mechanics of Drag, Inertia and Lift
  • 3. Total Hydrodynamic Forces
  • 4. Final Remarks
  • 14 Introduction to Random Vibrations
  • 1. Random Processes
  • 2. Spectral Density Function
  • 3. The Weiner-Khinchin Relationship
  • 4. Response of a Single Spring System to Random Load
  • 15 Earthquake Response of Structures
  • 1. Introduction
  • 2. Beam Analysis
  • 3. Spectral Density of Response
  • 16 Response of Structures to Wind Loading
  • 1. Introduction
  • 2. Response of Shells
  • 17 Random Response Analysis of Off-Shore Structures
  • 1. Introduction
  • 2. One Degree of Freedom System
  • 3. Multi-Degree of Freedom System
  • 4. Closing Remarks
  • 4. Truncation of Series Solution
  • 5. Response Spectrum Methods
  • 7 The Finite Element Technique
  • 1. Introduction
  • 2. The Principle of Virtual Displacements
  • 3. Finite Element Discretization and Element Matrices
  • 4. System Equations
  • 5. Solution
  • 8 Two Dimensional and Plate Bending Applications
  • 1. Introduction
  • 2. In-Plane Plate Elements
  • 3. In-Plane Vibration of Plates
  • 4. Plate Bending Elements
  • 5. Transverse Vibration of Plates
  • 6. Combination of Plate and Beam Elements
  • 9 Transient Response of Structures
  • 1. Introduction
  • 2. Transient Response without Damping
  • 3. Damping
  • 4. Damped Transient Response
  • 5. Numerical Methods
  • 10 Machine Foundations
  • 1. Introduction
  • 2. Transmissibility of a Foundation on a Rigid Base
  • 3. Transmissibility of a Foundation on a Flexible Base
  • 4. Low Tuned and High Tuned Foundations
  • 5. Dynamic Absorber
  • 6. Damped Dynamic Absorber
  • 7. Design Codes
  • 8. Steel Foundations for Turbo-Alternators

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