Dimensionless Analysis of Segmented Constrained Layer Damping Treatments with Modal Strain Energy Method

Constrained layer damping treatments promise to be an effective method to control vibration in flexible structures. Cutting both the constraining layer and the viscoelastic layer, which leads to segmentation, increases the damping efficiency. However, this approach is not always effective. A parametric study was carried out using modal strain energy method to explore interaction between segmentation and design parameters, including geometry parameters and material properties. A finite element model capable of handling treatments with extremely thin viscoelastic layer was developed based on interlaminar continuous shear stress theories. Using the developed method, influence of placing cuts and change in design parameters on the shear strain field inside the viscoelastic layer was analyzed, since most design parameters act on the damping efficiency through their influence on the shear strain field. Furthermore, optimal cut arrangements were obtained by adopting a genetic algorithm. Subject to a weight limitation, symmetric and asymmetric configurations were compared. It was shown that symmetric configurations always presented higher damping. Segmentation was found to be suitable for treatments with relatively thin viscoelastic layer. Provided that optimal viscoelastic layer thickness was selected, placing cuts would only be applicable to treatments with low shear strain level inside the viscoelastic layer.

[1]  Usik Lee,et al.  A finite element for beams having segmented active constrained layers with frequency-dependent viscoelastics , 1996 .

[2]  A. Cammarano,et al.  Waveguides of a Composite Plate by using the Spectral Finite Element Approach , 2009 .

[3]  Annie Ross,et al.  Transient response of a plate with partial constrained viscoelastic layer damping , 2013 .

[4]  Hualing Chen,et al.  A study on the damping characteristics of laminated composites with integral viscoelastic layers , 2006 .

[5]  M. A. Trindade,et al.  Modeling of Frequency-Dependent Viscoelastic Materials for Active-Passive Vibration Damping , 2000 .

[6]  D. K. Rao,et al.  Frequency and Loss Factors of Sandwich Beams under Various Boundary Conditions , 1978 .

[7]  Salim Belouettar,et al.  Review and assessment of various theories for modeling sandwich composites , 2008 .

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

[9]  C. D. Johnson,et al.  Design of Passive Damping Systems , 1995 .

[10]  Gerald Kress,et al.  Optimization of segmented constrained layer damping with mathematical programming using strain energy analysis and modal data , 2010 .

[11]  The use of constrained layer damping in vibration control , 1990 .

[12]  E. Reissner,et al.  Bending and Stretching of Certain Types of Heterogeneous Aeolotropic Elastic Plates , 1961 .

[13]  Chen Wanji,et al.  A global-local higher order theory including interlaminar stress continuity and C0 plate bending element for cross-ply laminated composite plates , 2010 .

[14]  Metin Aydogdu,et al.  A new shear deformation theory for laminated composite plates , 2009 .

[15]  Brian R. Mace,et al.  Arbitrary active constrained layer damping treatments on beams: Finite element modelling and experimental validation , 2006 .

[16]  Hui Zheng,et al.  Optimization of partial constrained layer damping treatment for vibrational energy minimization of vibrating beams , 2004 .

[17]  E. Reissner The effect of transverse shear deformation on the bending of elastic plates , 1945 .

[18]  George Shu Heng Pau,et al.  A comparative study on optimization of constrained layer damping treatment for structural vibration control , 2006 .

[19]  Navin Kumar,et al.  Vibration and damping characteristics of beams with active constrained layer treatments under parametric variations , 2009 .

[20]  G. Shi,et al.  A simple and accurate sandwich plate theory accounting for transverse normal strain and interfacial stress continuity , 2014 .

[21]  J. Reddy A Simple Higher-Order Theory for Laminated Composite Plates , 1984 .

[22]  M. Brennan,et al.  Finite element prediction of wave motion in structural waveguides. , 2005, The Journal of the Acoustical Society of America.

[23]  Daniel J. Inman,et al.  Some design considerations for active and passive constrained layer damping treatments , 1996 .

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

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

[26]  M. Gherlone,et al.  Four-node shell element for doubly curved multilayered composites based on the Refined Zigzag Theory , 2014 .

[27]  Raed I. Bourisli,et al.  Optimum Design of Segmented Passive-Constrained Layer Damping Treatment Through Genetic Algorithms , 2008 .

[28]  P. J. Shorter,et al.  Wave propagation and damping in linear viscoelastic laminates , 2004 .

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

[30]  R. A. S. Moreira,et al.  A layerwise model for thin soft core sandwich plates , 2006 .

[31]  Fernando G. Flores Implementation of the refined zigzag theory in shell elements with large displacements and rotations , 2014 .

[32]  Grzegorz Kawiecki,et al.  Experimental Evaluation of Segmented Active Constrained Layer Damping Treatments , 1997 .

[33]  Erasmo Carrera,et al.  A Survey With Numerical Assessment of Classical and Refined Theories for the Analysis of Sandwich Plates , 2009 .

[34]  R. Plunkett,et al.  Length Optimization for Constrained Viscoelastic Layer Damping , 1970 .

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

[36]  Kenan Y. Sanliturk,et al.  Optimisation of damping treatments based on big bang–big crunch and modal strain energy methods , 2014 .

[37]  Jun Yang,et al.  Experimental study of the effect of viscoelastic damping materials on noise and vibration reduction within railway vehicles , 2009 .

[38]  K. W. Wang,et al.  Distribution of Active and Passive Constraining Sections for Hybrid Constrained Layer Damping Treatments , 2002 .

[39]  H. Turkmenler,et al.  Performance Assessment of Advanced Biological Wastewater Treatment Plants Using Artificial Neural Networks , 2017 .

[40]  E. Carrera Historical review of Zig-Zag theories for multilayered plates and shells , 2003 .

[41]  N. Ganesan,et al.  A vibration and damping analysis of circular plates with constrained damping layer treatment , 1993 .

[42]  R. A. S. Moreira,et al.  Dimensionless analysis of constrained damping treatments , 2013 .

[43]  Kim Lau Nielsen,et al.  Numerical studies of shear damped composite beams using a constrained damping layer , 2008 .

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

[45]  Damping of beams. Optimal distribution of cuts in the viscoelastic constrained layer , 1997 .

[46]  Optimal design of frequency dependent three-layered rectangular composite beams for low mass and high damping , 2015 .

[47]  B. C. Nakra VIBRATION CONTROL IN MACHINES AND STRUCTURES USING VISCOELASTIC DAMPING , 1998 .

[48]  Thomas E. Alberts,et al.  Effectiveness of section length optimization for constrained viscoelastic layer damping treatments , 1990, Defense, Security, and Sensing.

[49]  Massimo Ruzzene,et al.  Wave Propagation in Periodic Stiffened Shells: Spectral Finite Element Modeling and Experiments , 2003 .

[50]  E. Kerwin Damping of Flexural Waves by a Constrained Viscoelastic Layer , 1959 .