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Synopses & Reviews
Serving as both text and reference manual, this text connects traditional design-oriented topics, the introduction of modal analysis, and the use of MATLAB. The author provides an unequaled combination of the study of conventional vibration with the use of vibration design, analysis and testing in various engineering applications. Special-interest windows utilized throughout the text placed at points where prior or background information summaries are required. Remind readers of essential information pertinent to the text material, preventing them from flipping to previous chapters or reference texts for formulas or other information. Examines topics that reflect some of the recent advances in vibration technology, changes in ABET criteria and the increased importance of both engineering design and modal analysis. Incorporates MATLAB Vibration Toolbox throughout allowing readers to conduct and explore vibration analysis. Toolbox offers professional quality computer analyses including basics, introduction to model analysis with actual experimental data files and finite elements. Readers are challenged with over 65 computer problems (645 problems in all) including use of manufacture's design charts, measurement analysis, and matrix eigenvalue computing for frequencies and modes. Ideal for readers with an interest in Mechanical Engineering, Civil Engineering, Aerospace Engineering and Mechanics.
Table of Contents
(NOTE: Each chapter concludes with problems, MATLAB®Vibration Toolbox and Toolbox problems.)
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®, Mathcad®, and Mathematica®.
Appendix G: Engineering Vibration Toolbox and Web Support.
Answers to Selected Problems.
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