Orientation

• Fall 2020 Syllabus
  
• Academic Integrity
  
• Links to some Matlab tutorials
  

Course Notes

• Virtual Displacements in Structural Dynamics
• Generalized Coordinates, Lagrange's Equations, and Constraints
• Dynamics of Simple Oscillators (single-degree-of-freedom systems)
• Periodic Responses, Fourier Series, and Fourier Transforms
• Digital Signal Processing with Fast Fourier Transforms
• Viscoelastic Dynamics
• Complex Stiffness Damping
• Bilinear Hysteresis Modeling
• Dynamic Hysteresis Modeling
• Hysteretic Structural Dynamics: Matlab Demo
• Numerical Integration in Structural Dynamics
• Inelastic Response Spectra
• Structural Element Stiffness, Mass, and Damping Matrices
• Mathematical Properties of Stiffness Matrices
• Real Modes of Vibration
• Modal Superposition
• Model Condensation
• Classical Damping, Non-classical damping and Complex modes
• Linear Time-Invariant Systems
• The Tuned Mass Damper
• Seismic Base Isolation
• Pulse Response as an LTI Free Response
• Distributed Parameter Systems: 2nd order (strings, bars, shafts, membranes) and 4th order (beams, plates)
• Random Processes, Correlation Functions, Power Spectral Densities of Environmental Loadings, and Threshold Exceedance Probabilities
• Spectral Moments, Upcrossings, First-Passage Statistics in Random Vibration

Computer Applications and Data Repositories

• FEM toolbox for solid mechanics
• Frame3DD: Static and Dynamic Analysis of 2D and 3D Frames.
• Vibration Response Plotter by Dr. D.J.Rao
• Java Convolution Labs, Johns Hopkins University
• Acoustics and Vibrations Animations, Kettering University, Professor Dan Russel
• FEM toolbox for solid mechanics
• Collections of Strong Ground Motion Records
• Network for Earthquake Engineering Simulation

Other References

• Structural Dynamics: Theory and Applications, Addison-Wesley, Tedesco, Mc Joseph W. Tedesco, William G. McDougal, and C. Allen Ross
• Dynamic Structural Analysis, by Ed Wilson,
• Structural Dynamic Vibrations Prof. B.J. Stone, University of Western Australia
  
• Structural Dynamics course notes, CEE 511 University of Michigan, Professor Jerome Lynch
• Acoustics and Vibration Animations, Dan Russel, Penn State University.
• National Information Service for Earthquake Engineering
• FEMA Earthquake Publications
• Nonlinear structural analysis for seismic design, GG Deierlein, AM Reinhorn, MR Willford - NEHRP seismic design, 2010.
• Los Alamos Dynamics Summer School
• Dynamic Testing, Vibrant Technology, Inc.
• Friction models and friction compensation, by H. Olsson, K.J. Astrom, C. Canudas de Witt, M. Gafvert, and P. Lischinsky
• A Unified Matrix Polynomial Approach to Modal Identification by R.J. Allamang and D.L. Brown

Commercial Resources

• Computers and Structures, Inc.
• Isolation Technology Papers, Fabreeka, Inc.
• Vibration Data Consulting and Educational Services

© 2001-2018 Henri P. Gavin; Updated: 2004-04-27, 2005-02-01, 2007-02-09, 2007-08-28, 2012-08-23, 2014-08-27, 2015-10-15, 2016-08-21, 2018-08-17, 2020-08-17