Experimental and analytical estimation of damping in beams and plates with damping treatments

The research presented in this dissertation is devoted to the problem of damping estimation in engineering structures, especially beams and plates with passive damping treatments. In structural design and/or optimization, knowledge about damping is essential. However, due to the complexity of the dynamic interaction of system components, the determination of damping, by either analysis or experiments, has never been straightforward. In this research, currently-used methods are reviewed and gaps are identified first. Then both analytical and experimental studies on the damping estimation are conducted and possibilities of improvement are explored. Various passive damping treatments using ViscoElastic Materials (VEMs) are designed, manufactured and then added to aluminum and composite beams and plates. Experiments on these damped structures are conducted. Currently used experimental methods, namely, the free-decay method, the modal curve-fitting method and the Power Input Method (PIM), are used to process the experimental data and investigate the damping characteristics. Especially, 1) experimental procedures of the power input method are carefully identified and investigated; 2) the power input method is applied to non-uniformly damped structures; 3) the

[1]  Estimating Particle Damping of Honeycomb Sandwich Plates Using a Fluid Analogy , 2008 .

[2]  T. Shimogo.  Vibration Damping , 1994, Active and Passive Vibration Damping.

[3]  Juha Plunt.  The power injection method for vibration damping determination of body panels with applied damping treatments and trim , 1991 .

[4]  Monica Carfagni,et al.  The Loss Factor as a Measure of Mechanical Damping , 1998 .

[5]  Monica Carfagni,et al.  Determining the Loss Factor by the Power Input Method (PIM), Part 2: Experimental Investigation with Impact Hammer Excitation , 1999 .

[6]  Mark Ewing,et al.  Particle Damping of Composite Honeycomb Beams by the Power Input Method , 2007 .

[7]  Kripa K. Varanasi,et al.  Damping of Flexural Vibration by Low-Density Foams and Granular Materials , 2003 .

[8]  Wanbo Liu,et al.  Experimental and Analytical Estimation of Loss Factors by the Power Input Method , 2006 .

[9]  Frank M. Belknap.  Vibration reduction of composite structures using constrained layer damping techniques , 1991 .

[10]  George A. Lesieutre,et al.  Finite element modeling of frequency-dependent material damping using augmenting thermodynamic fields , 1990 .

[11]  Samuel L. Deleeuw.  Theory of Viscoelasticity, An Introduction (Second Edition), by R. M. Christensen , 1983 .

[12]  G. Lesieutre,et al.  Time Domain Modeling of Linear Viscoelasticity Using Anelastic Displacement Fields , 1995 .

[13]  Vikram K. Kinra,et al.  PARTICLE IMPACT DAMPING , 1999 .

[14]  Monica Carfagni,et al.  Determining the Loss Factor by the Power Input Method (PIM), Part 1: Numerical Investigation , 1999 .

[15]  Wei-Hsin Liao,et al.  An Empirical Method for Particle Damping Design , 2004 .

[16]  Steven E. Olson,et al.  Effectiveness and predictability of particle damping , 2000, Smart Structures.

[17]  Kripa K. Varanasi,et al.  Damping of flexural vibration by coupling to low-density granular materials , 2002, SPIE Smart Structures and Materials + Nondestructive Evaluation and Health Monitoring.

[18]  Stephan S. Simonian,et al.  Particle beam damper , 1995, Smart Structures.

[19]  M. L. Drake,et al.  Aerospace Structures Technology Damping Design Guide. Volume 2. Design Guide , 1985 .

[20]  L. A. Silva.  Internal Variable and Temperature Modeling Behavior of Viscoelastic Structures -- A Control Analysis , 2003 .

[21]  Justin M. Verdirame,et al.  Vibration Damping of Cylindrical Shells using Low-Density, Granular Materials , 2006 .

[22]  F. H. Chu,et al.  EXPERIMENTAL DETERMINATION OF DAMPING IN MATERIALS AND STRUCTURES. , 1980 .

[23]  Ralph D. Buehrle,et al.  Damped Windows for Aircraft Interior Noise Control , 2004 .

[24]  Etienne Balmes,et al.  Steel/Viscoelastic/Steel Sandwich Shells Computational Methods and Experimental Validations, #167 , 2000 .

[25]  Maxime Bolduc.  Acquiring statistical energy analysis damping loss factor for complex structures with low to high damping characteristics , 2007 .

[26]  Mohan D. Rao,et al.  Measurement of damping in structures by the power input method , 2002 .

[27]  D. Mctavish,et al.  Finite element modeling of linear viscoelastic structures: The GHM method. , 1992 .

[28]  Norman M. Wereley,et al.  Induced strain actuation of sandwich plates with viscoelastic damping layers , 1997 .

[29]  S.-F. Ling,et al.  Identification of Damping Characteristics of Viscoelastically Damped Structures Using Vibration Test Results , 1996 .

[30]  K. Renji,et al.  Loss Factors of Composite Honeycomb Sandwich Panels , 2002 .

[31]  R. A. S. Moreira,et al.  Constrained Damping Layer Treatments: Finite Element Modeling , 2004 .

[32]  Per G. Reinhall,et al.  Thickness deformation of constrained layer damping : An experimental and theoretical evaluation , 2001 .

[33]  Mohan D. Rao,et al.  Recent applications of viscoelastic damping for noise control in automobiles and commercial airplanes , 2003 .

[34]  Lynn C. Rogers,et al.  Experimental results for stand-off passive vibration damping treatment , 1995, Smart Structures.

[35]  Paul Sas,et al.  An experimental-analytical SEA identification and applied validation criteria of a box type structure , 1994 .

[36]  M. P. Norton,et al.  Some comments on the experimental determination of modal densities and loss factors for statistical energy analysis applications , 1985 .

[37]  Sami F. Masri,et al.  Performance of Particle Dampers Under Random Excitation , 1996 .

[38]  D. Adams.  Efficient finite element modeling of thin-walled structures with constrained viscoelastic layer damping , 1996 .

[39]  Mohan D Rao,et al.  Estimation of frequency-averaged loss factors by the power injection and the impulse response decay methods. , 2005, The Journal of the Acoustical Society of America.

[40]  Monica Carfagni,et al.  Determining loss factors using the power input method with shaker excitation , 1998 .

[41]  B. L. Clarkson,et al.  Frequency average loss factors of plates and shells , 1983 .

[42]  Edward J. Graesser,et al.  The relationship of traditional damping measures for materials with high damping capacity: A review , 1992 .

[43]  G. P. Gibbs,et al.  Modeling and Validation of Damped Plexiglas Windows for Noise Control , 2003 .

[44]  G. C. Everstine,et al.  More on finite element modeling of damped composite systems , 1980 .

[45]  M. Yan,et al.  Governing Equations for Vibrating Constrained-Layer Damping Sandwich Plates and Beams , 1972 .

[46]  Per G. Reinhall,et al.  An Analytical and Experimental Analysis for a One-Dimensional Passive Stand-Off Layer Damping Treatment , 2000 .

[47]  Daniel J. Inman,et al.  Some Pitfalls of Simplified Modeling for Viscoelastic Sandwich Beams , 2000 .

[48]  C. D. Johnson.  Passive damping technology using viscoelastics , 1991, [1991] Proceedings of the 30th IEEE Conference on Decision and Control.

[49]  Nak-Sam Choi,et al.  Flexural vibration analysis of a sandwich beam specimen with a partially inserted viscoelastic layer , 2004 .

[50]  L. Meirovitch.  Analytical Methods in Vibrations , 1967 .

[51]  M. L. Drake,et al.  Aerospace Structures Technology Damping Design Guide. Volume 3. Damping Material Data , 1985 .

[52]  R. Ditaranto.  Theory of Vibratory Bending for Elastic and Viscoelastic Layered Finite-Length Beams , 1965 .

[53]  Richard H. Lyon.  Statistical energy analysis of dynamical systems : theory and applications , 2003 .

[54]  J. Soovere,et al.  A Design Guide for Damping of Aerospace Structures , 1984 .

[55]  Daniel J. Inman,et al.  Finite element models with viscoelastic damping , 1999 .

[56]  Conor D. Johnson,et al.  Finite Element Prediction of Damping in Structures with Constrained Viscoelastic Layers , 1981 .

[57]  A.-S. Plouin,et al.  A test validated model of plates with constrained viscoelastic materials , 1999 .

[58]  D. A. Bies,et al.  In situ determination of loss and coupling loss factors by the power injection method , 1979 .

[59]  Vibration response of constrained viscoelastically damped plates: Analysis and experiments , 1990 .

[60]  D. J. Mead,et al.  The forced vibration of a three-layer, damped sandwich beam with arbitrary boundary conditions , 1969 .

[61]  J. Wolf,et al.  The Influence of Mounting Stiffness On Frequencies Measured In a Vibration Test , 1984 .