A comprehensive damping study of variable stiffness composite rectangular/skew laminates reinforcement with curvilinear fibers by higher-order shear flexible model

Abstract In this work, a comprehensive investigation of curvilinear fiber reinforcement on damping of rectangular and skew composite plates is computationally estimated using higher-order shear flexible model. A set of governing equilibrium equations developed here in form of eigenvalue analysis is solved by adopting the Q-R algorithm. The damping factors associated with different vibrational modes are evaluated from the complex eigenvalues. The proposed model is validated against the available analytical and experimental results. The damping capability of laminated rectangular/skew composite plates is thoroughly analyzed by varying the curvilinear fiber path angles in the layers, lay-up orientations, structural boundary conditions, skew angle of the laminate, and nature of the material. Results reveal that the damping pretending to the curvilinear fibers plate is better than the conventional composite laminate; it varies significantly according to the variation in center and edge of the curvilinear fiber angles. It is also noted that the damping increases with the skew angle of the plate. The study conducted here shows the suitability of such variable stiffness composite structure for safe design under dynamic/impact loading situation.

[1]  Erasmo Carrera,et al.  Free vibration analysis of variable stiffness composite laminated beams and plates by novel hierarchical differential quadrature finite elements , 2021 .

[2]  Hasan Kurtaran,et al.  Nonlinear flutter of tapered and skewed cantilevered plates with curvilinear fiber paths , 2021 .

[3]  Xiaofan He,et al.  Numerical investigation on the enhanced damping behavior of bio-inspired nacreous composites by introducing interlocked structure. , 2021, Journal of the mechanical behavior of biomedical materials.

[4]  S. Kattimani,et al.  Effect of temperature and moisture on free vibration characteristics of skew laminated hybrid composite and sandwich plates , 2020 .

[5]  Touraj Farsadi,et al.  Fundamental frequency optimization of variable stiffness composite skew plates , 2020, Acta Mechanica.

[6]  D. Maiti,et al.  Stochastic frequency analysis of laminated composite plate with curvilinear fiber , 2020, Mechanics of Advanced Materials and Structures.

[7]  A. Houmat,et al.  Free vibration analysis of variable stiffness composite laminate plate with circular cutout , 2020 .

[8]  J. Fazilati,et al.  Effects of embedded perforation geometry on the free vibration of tow-steered variable stiffness composite laminated panels , 2019, Thin-Walled Structures.

[9]  M. Hamdaoui,et al.  Identification of frequency-dependent viscoelastic damped structures using an adjoint method , 2019, Journal of Sound and Vibration.

[10]  M. Ganapathi,et al.  Nonlinear Free Flexural Vibration of Curvilinear Fibre Composite Laminates Using a Higher-Order Element , 2018, International Journal of Structural Stability and Dynamics.

[11]  Jan Becker Høgsberg,et al.  Identification of damping and complex modes in structural vibrations , 2018, Journal of Sound and Vibration.

[12]  G. Ghiringhelli,et al.  Evaluation of damping loss factor of flat laminates by sound transmission , 2018, Journal of Sound and Vibration.

[13]  S. Natarajan,et al.  Variable stiffness laminated composite shells – Free vibration characteristics based on higher-order structural theory , 2018 .

[14]  Hang Yu,et al.  Complex stiffness method for damping properties of woven composites , 2017 .

[15]  Mohamed Haboussi,et al.  Environmental effects on the free vibration of curvilinear fibre composite laminates with cutouts , 2016 .

[16]  S. Natarajan,et al.  Mechanical buckling of curvilinear fibre composite laminate with material discontinuities and environmental effects , 2015 .

[17]  Domenico Mundo,et al.  Damping in composite materials: Properties and models , 2015 .

[18]  A. Houmat,et al.  Nonlinear free vibration analysis of variable stiffness symmetric skew laminates , 2015 .

[19]  Jerzy Warminski,et al.  A review on the mechanical behaviour of curvilinear fibre composite laminated panels , 2014 .

[20]  S. Natarajan,et al.  Assessment of certain higher-order structural models based on global approach for bending analysis of curvilinear composite laminates , 2014, 1407.7171.

[21]  A. Houmat,et al.  Nonlinear free vibration of laminated composite rectangular plates with curvilinear fibers , 2013 .

[22]  M. Şahan,et al.  An alternative solution method for the damped response of laminated Mindlin plates , 2013 .

[23]  S. A. Eftekhari,et al.  A Novel and Accurate Ritz Formulation for Free Vibration of Rectangular and Skew Plates , 2012 .

[24]  P. Ribeiro.  Non-linear free periodic vibrations of variable stiffness composite laminated plates , 2012 .

[25]  S. Bae,et al.  Forced vibration analysis of damped beam structures with composite cross-section using Timoshenko beam element , 2012 .

[26]  H. Akhavan,et al.  Non-linear vibrations of variable stiffness composite laminated plates , 2012 .

[27]  Lorenzo Dozio,et al.  Ritz analysis of vibrating rectangular and skew multilayered plates based on advanced variable-kinematic models , 2012 .

[28]  H. Akhavan,et al.  Natural modes of vibration of variable stiffness composite laminates with curvilinear fibers , 2011 .

[29]  Shih-Yao Kuo,et al.  Flutter of rectangular composite plates with variable fiber pacing , 2011 .

[30]  Pu Zhang,et al.  Interlaminar stress distribution of composite laminated plates with functionally graded fiber volume fraction , 2010 .

[31]  Baoqiao Guo,et al.  An alternative to modal analysis for material stiffness and damping identification from vibrating plates , 2010 .

[32]  L. Shiau,et al.  Buckling and vibration of composite laminated plates with variable fiber spacing , 2009 .

[33]  E. Serra,et al.  A finite element formulation for thermoelastic damping analysis , 2009 .

[34]  J. Berthelot,et al.  Longitudinal and transverse damping of unidirectional fibre composites , 2007 .

[35]  Zafer Gürdal,et al.  Design of variable–stiffness laminates using lamination parameters , 2006 .

[36]  Tarun Kant,et al.  Free Vibration of Skew Fiber-reinforced Composite and Sandwich Laminates using a Shear Deformable Finite Element Model , 2006 .

[37]  R. A. Shenoi,et al.  A higher order finite element theory for buckling and vibration analysis of initially stressed composite sandwich plates , 2005 .

[38]  M. Ganapathi,et al.  A parametric study on supersonic flutter behavior of laminated composite skew flat panels , 2005 .

[39]  M. Ganapathi,et al.  Large amplitude free flexural vibrations of laminated composite skew plates , 2004 .

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

[41]  Suha Oral,et al.  Optimum design of composite structures with curved fiber courses , 2003 .

[42]  Dawn C. Jegley,et al.  Design and Manufacture of Elastically Tailored Tow Placed Plates , 2002 .

[43]  B. P. Patel,et al.  Vibration and Damping Analysis of Laminated/Sandwich Composite Plates Using Higher-Order Theory , 2002 .

[44]  B. P. Patel,et al.  Transient Dynamics of Thick Skew Sandwich Laminates Under Thermal/Mechanical Loads , 2001 .

[45]  Ronald F. Gibson,et al.  Micromechanical Models for Damping in Woven Fabric-Reinforced Polymer Matrix Composites , 2001 .

[46]  John W. Gillespie,et al.  Damping characteristics of 0° and 90° AS4/3501-6 unidirectional laminates including the transverse shear effect , 2000 .

[47]  A. H. Nayfeh,et al.  Damping Characteristics of Laminated Thick Plates , 1997 .

[48]  Chris Waldhart,et al.  Analysis of Tow-Placed, Variable-Stiffness Laminates , 1996 .

[49]  Calvin J. Ribbens,et al.  Analysis of tow placed, parallel fiber, variable stiffness laminates , 1996 .

[50]  Z. Gürdal,et al.  In-plane response of laminates with spatially varying fiber orientations - Variable stiffness concept , 1993 .

[51]  M. W. Hyer,et al.  Use of curvilinear fiber format in composite structure design , 1991 .

[52]  Dimitris A. Saravanos,et al.  Computational Simulation of Damping in Composite Structures , 1991 .

[53]  Dimitris A. Saravanos,et al.  Mechanics of damping for fiber composite laminates including hygrothermal effects , 1990 .

[54]  Michael W. Hyer,et al.  Innovative design of composite structures: The use of curvilinear fiber format to improve buckling resistance of composite plates with central circular holes , 1990 .

[55]  Dimitris A. Saravanos,et al.  Unified micromechanics of damping for unidirectional fiber reinforced composites , 1989 .

[56]  N. Ganesan,et al.  Vibration and damping analysis of orthotropic triangular plates , 1989 .

[57]  S. Chaturvedi,et al.  The influence of fiber length and fiber orientation on damping and stiffness of polymer composite materials , 1986 .

[58]  N. T. Asnani,et al.  Vibration and Damping Analysis of Fibre Reinforced Composite Material Plates , 1986 .

[59]  R. Adams,et al.  The dynamic properties of carbon-glass fibre sandwich-laminated composites: theoretical, experimental and economic considerations , 1984 .

[60]  C. W. Bert,et al.  Sinusoidal response of composite-material plates with material damping. , 1974 .

[61]  Robert D. Adams,et al.  Effect of Fibre Orientation and Laminate Geometry on the Dynamic Properties of CFRP , 1973 .

[62]  Charles W. Bert,et al.  Material damping: An introductory review of mathematic measures and experimental technique , 1973 .

[63]  A. K. Noor,et al.  Free vibrations of multilayered composite plates. , 1973 .

[64]  Zvi Hashin,et al.  Complex moduli of viscoelastic composites—I. General theory and application to particulate composites , 1970 .

[65]  Stephen W. Tsai,et al.  Dynamic Moduli and Damping Ratios in Fiber-Reinforced Composites , 1968 .

[66]  Pankaj V. Katariya,et al.  Numerical frequency analysis of skew sandwich layered composite shell structures under thermal environment including shear deformation effects , 2019 .

[67]  Christian Rey,et al.  The finite element method in solid mechanics , 2014 .

[68]  W. Marsden.  I and J , 2012 .

[69]  Yoshihiro Narita,et al.  Vibration Analysis of Composite Rectangular Plates Reinforced along Curved Lines , 2008 .

[70]  B. P. Patel,et al.  Theoretical & Experimental Studies on Vibration & Damping of Fibre-Reinforced Cantilever Laminates. , 2000 .

[71]  Andris Chate,et al.  Vibration and damping analysis of laminated composite plates by the finite element method , 1995 .

[72]  Ronald F. Gibson,et al.  Contribution of interlaminar stresses to damping in thick laminated composites under uniaxial extension , 1992 .