ENME 711- VIBRATION DAMPING

Course Description:

The course aims at introducing the different damping models that describe the behavior of viscoelastic materials. Emphasis will be placed on modeling the dynamics of simple structures (beams, plates & shells) with Passive Constrained Layer Damping (PCLD). Considerations will be also given to other types of surface treatments such as Magnetic Constrained Layer Damping (MCLD), Shunted Network Constrained Layer Damping (SNCLD), Active Constrained Layer Damping (ACLD) and Electrorheological Constrained Layer Damping (ECLD).  Energy dissipation characteristics of the damping treatments will be presented analytically and by using the modal strain energy approach as applied to finite element models of vibrating structures. 

1. Introduction to Passive Damping                                                                      

                     a. Behavior of viscoelastic materials

                     b. Viscoelastic materials characterization

                                  i.   complex modulus method

                                  ii.  Gola-Hughes-McTavish method (GHM)

                                  iii. Fractional Derivatives method (FD)

                                  iv. Augmeted Thermodynamic Field (ATF)

2. Vibration Damping of Structural Elements                                                      

                      a.        Distributed-Parameter Modeling of Passive Constrained Layer Damping (PCLD) for:

                                    i.         beams with longitudinal vibrations

                                    ii.        beams with transverse vibrations

                       b.       Distributed-Parameter Modeling of Axisymmetric vibration of shells with PCLD

                       c.        Finite element modeling of beams & shells using:

                                    i.         temporal finite element method

                                    ii.        spectral finite element method

3. Vibration Damping of Complex Structures                                                    

                          a. Modal Strain Energy method (MSE)

                          b. Weighted Stiffness Matrix method (WSM)

4. Other Types of Constrained Layer Damping Treatments                  

                            a.        Magnetic Constrained Layer Damping (MCLD)

                            b.       Shunted Network Constrained Layer Damping (SNCLD)

                            c.        Active Constrained Layer Damping (ACLD)

                            d.       Electrorheological Constrained Layer Damping (ECLD)

5.. Energy Dissipation Characteristics                                                                       

                            a. PCLD, b. MCLD, c. SNCLD, d. ACLD  and e. ECLD

                            b. Optimum design of damping treatments.

                            c. Segmented damping treatments.

TEXTBOOK:  C. Sun and Y. P. Lu, Vibration Damping of Structural Elements, Prentice Hall, Englewood Cliffs, NJ, 1995.

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Last modified: April 01, 2002