E-grāmata: Vibrations of Engineering Structures

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.-
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.-
9. Conclusions.- 11 Vibration of
Axi-Symmetric Shells.-
1. Introduction.-
2. Novozhilovs 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.