Analysis and optimal design for the damping property of laminated viscoelastic plates under general edge conditions

Abstract The present paper is concerned with analysis and optimal design for the damping loss factor of laminated plates under general edge conditions. In the analysis based on the classical lamination theory, the loss factor is deduced from the energy formulation for symmetrically laminated thin plates comprised of fiber reinforced layers and viscoelastic layers. The effects of location and thickness of viscoelastic layers are studied on the loss factor of the plates, and those of the fiber orientation angles are also clarified. In the optimal lay-up design problem, a layerwise optimization (LO) method is applied to the plates comprised of two different orthotropic materials, and the optimal fiber orientation angles are determined to obtain the maximum loss factor in the fundamental mode. These numerical simulation results uncovered that the present approach is quite useful in analyzing and designing the loss factor of the plates.

[1]  T. J. Hsu,et al.  Vibration Damping of Interleaved Carbon Fiber-Epoxy Composite Beams , 1994 .

[2]  Arcangelo Messina,et al.  The influence of boundary conditions and transverse shear on the vibration of angle-ply laminated plates, circular cylinders and cylindrical panels , 2001 .

[3]  J. Hodgkinson,et al.  Layerwise optimisation for maximising the fundamental frequencies of point-supported rectangular laminated composite plates , 2005 .

[4]  Brian R. Mace,et al.  Estimation of the loss factor of viscoelastic laminated panels from finite element analysis , 2010 .

[5]  M. Leibowitz,et al.  Optimal sandwich beam design for maximum viscoelastic damping , 1987 .

[6]  Dynamic Analysis of Sandwich Plates with a Constraining Layer and a Magnetorheological Fluid Core , 2011 .

[7]  J. Berthelot,et al.  Damping Analysis of Orthotropic Composites with Interleaved Viscoelastic Layers: Modeling , 2006 .

[8]  Robert D. Adams,et al.  Finite-element prediction of modal response of damped layered composite panels , 1995 .

[9]  José Herskovits,et al.  Optimal design and parameter estimation of frequency dependent viscoelastic laminated sandwich composite plates , 2010 .

[10]  Olivier Polit,et al.  Flexural loss factors of sandwich and laminated composite beams using linear and nonlinear dynamic analysis , 1999 .

[11]  C. M. Mota Soares,et al.  Damping optimization of viscoelastic laminated sandwich composite structures , 2009 .

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

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

[14]  J. Berthelot,et al.  Damping analysis of laminated beams and plates using the Ritz method , 2006 .

[15]  Yoshihiro Narita,et al.  Combinations for the Free-Vibration Behaviors of Anisotropic Rectangular Plates Under General Edge Conditions , 2000 .

[16]  J. Berthelot,et al.  Damping analysis of unidirectional glass and Kevlar fibre composites , 2004 .

[17]  D. J. Wilkins,et al.  Free vibrations of orthotropic sandwich conical shells with various boundary conditions , 1970 .

[18]  J. Berthelot,et al.  Damping Analysis of Unidirectional Glass Fiber Composites with Interleaved Viscoelastic Layers: Experimental Investigation and Discussion , 2006 .

[19]  Y. Narita Layerwise optimization for the maximum fundamental frequency of laminated composite plates , 2003 .

[20]  Alessandro Fasana,et al.  RAYLEIGH-RITZ ANALYSIS OF SANDWICH BEAMS , 2001 .

[21]  E. E. Ungar,et al.  Loss Factors of Viscoelastic Systems in Terms of Energy Concepts , 1962 .

[22]  N. T. Asnani,et al.  Vibration and Damping Analysis of Fibre Reinforced Composite Material Cylindrical Shell , 1987 .

[23]  Robert D. Adams,et al.  DYNAMIC FLEXURAL PROPERTIES OF ANISOTROPIC FIBROUS COMPOSITE BEAMS , 1994 .