(
NOTE: Each chapter concludes with problems, MATLAB (R)
Vibration Toolbox and
Toolbox problems.)
1. Introduction. Introduction to Free Vibration. Harmonic Motion. Viscous Damping. Modeling and Energy Methods. Stiffness. Measurement. Design Considerations. Stability. Numerical Simulation of the Time Response. Coulomb Friction and the Pendulum.
2. Response to Harmonic Excitation. Harmonic Excitation of Undamped Systems. Harmonic Excitation of Damped Systems. Alternative Representations. Base Excitation. Rotating Unbalance. Measurement. Other Forms of Damping. Numerical Simulation and Design. Nonlinear Response Properties.
3. General Forced Response. Impulse Response Function. Response to an Arbitrary Input. Response to an Arbitrary Periodic Input. Transform Methods. Response to Random Inputs. Shock Spectrum. Measurement via Transfer Functions. Stability. Numerical Simulation of the Response. Nonlinear Response Properties.
4. Multiple-Degree-of-Freedom Systems. Two-Degree-of-Freedom Model (Undamped). Eigenvalues and Natural Frequencies. Modal Analysis. More Than Two Degrees of Freedom. Systems with Viscous Damping. Modal Analysis of the Forced Response. Lagrange's Equations. Examples. Computational Eigenvalue Problems of Vibration. Numerical Simulation of the Time Response.
5. Design for Vibration Suppression. Acceptable Levels of Vibration. Vibration Isolation. Vibration Absorbers. Damping in Vibration Absorption. Optimization. Viscoelastic Damping Treatments. Critical Speeds of Rotating Disks. Active Vibration Suppression. Practical Isolation Design.
6. Distributed-Parameter Systems. Vibration of a String of Cable. Modes and Natural Frequencies. Vibration of Rods and Bars. Torsional Vibration. Bending Vibration of a Beam. Vibration of Membranes and plates. Models of Damping. Modal Analysis and the Forced Response.
7. Vibration Testing and Experimental Modal Analysis. Measurement Hardware. Digital Signal Processing. Random Signal Analysis in Testing. Modal Data Extraction. Model Parameter by Circle Fitting. Mode Shape Measurement. Vibration Testing for Endurance and Diagnostics. Operational Deflection Shape Measurement.
8. Finite Element Method. Example: The Bar. Three-Element Bar. Beam Elements. Lumped Mass Matrices. Trusses. Model Reduction.
Appendix A: Complex Numbers and Functions. Appendix B: Laplace Transforms. Appendix C: Matrix Basics. Appendix D: The Vibration Literature. Appendix E: List of Symbols. Appendix F: Introduction to MATLAB (R), Mathcad (R), and Mathematica (R). Appendix G: Engineering Vibration Toolbox and Web Support. References. Answers to Selected Problems. Index. 