Vibration of Delaminated Composite Laminates: A Review

Fiber reinforced composite laminates are increasingly replacing traditional metallic materials. The manufacturing process and service of the composite laminates frequently lead to delamination. Vibration analysis is an integral part of most engineering structures. In the present article we provide a relevant survey on the various analytical models and numerical analyses for the free vibration of delaminated composites. A basic understanding of the influence of the delamination on the natural frequencies and the mode shapes of composite laminates is presented. In addition, other factors affecting the vibration of the delaminated composites are discussed. Particular attention is given to composite laminates having piezoelectric sensors and actuators, and ones subjected to axial loadings.

[1]  Ashwini Kumar,et al.  Free vibration of square laminates with delamination around a central cutout using HSDT , 2005 .

[2]  Christian N. Della,et al.  Free vibration analysis of composite beams with overlapping delaminations , 2005 .

[3]  Liyong Tong,et al.  Formulation of reference surface element and its applications in dynamic analysis of delaminated composite beams , 2005 .

[4]  Christian N. Della,et al.  Vibration of beams with double delaminations , 2005 .

[5]  Li Cheng,et al.  Determination of dynamic strain profile and delamination detection of composite structures using embedded multiplexed fibre-optic sensors , 2004 .

[6]  Haoran Chen,et al.  Dynamic behavior of delaminated plates considering progressive failure process , 2004 .

[7]  T. Park,et al.  Recurrent Single Delaminated Beam Model for Vibration Analysis of Multidelaminated Beams , 2004 .

[8]  J. N. Reddy,et al.  Effect of Delamination on Active Constrained Layer Damping of Smart Laminated Composite Beams , 2004 .

[9]  Christian N. Della,et al.  Vibrations of multiple delaminated beams , 2004 .

[10]  L. Yam,et al.  Detection of internal delamination in multi-layer composites using wavelet packets combined with modal parameter analysis , 2004 .

[11]  Anindya Ghoshal,et al.  Non-linear vibration analysis of smart composite structures with discrete delamination using a refined layerwise theory , 2004 .

[12]  Dimitris A. Saravanos,et al.  Assessing the effects of delamination on the damped dynamic response of composite beams with piezoelectric actuators and sensors , 2004 .

[13]  S. Luo,et al.  Non-linear vibration of composite beams with an arbitrary delamination , 2004 .

[14]  Dongwei Shu,et al.  Free vibration analysis of composite beams with two non-overlapping delaminations , 2004 .

[15]  Waion Wong,et al.  Numerical analysis of multi-layer composite plates with internal delamination , 2004 .

[16]  Liyong Tong,et al.  Delamination Detection of Composite Beams Using Piezoelectric Sensors with Evenly Distributed Electrode Strips , 2004 .

[17]  Liyong Tong,et al.  A delamination detection model for composite beams using PFRC sensor/actuator , 2004 .

[18]  Anindya Ghoshal,et al.  Effect of delamination on transient history of smart composite plates , 2003 .

[19]  T. Park,et al.  Vibration analysis of multi-delaminated beams , 2003 .

[20]  Anindya Ghoshal,et al.  Dynamic Analysis of Composite Laminates with Multiple Delamination Using Improved Layerwise Theory , 2003 .

[21]  Anindya Ghoshal,et al.  Characterization of delamination effect on composite laminates using a new generalized layerwise approach , 2003 .

[22]  R. Massabó,et al.  Free vibrations of delaminated beam-type structures with crack bridging , 2003 .

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

[24]  A. Ghoshal,et al.  Delamination Effect on Transient History of Smart Composite Plates , 2003 .

[25]  Aditi Chattopadhyay,et al.  Combined delamination and matrix cracking in adaptive composite laminates , 2003 .

[26]  Taehyo Park,et al.  Free vibration analysis of axially compressed laminated composite beam-columns with multiple delaminations , 2002 .

[27]  Anthony N. Palazotto,et al.  Finite element formulation for dynamics of delaminated composite beams with piezoelectric actuators , 2002 .

[28]  Masaki Kameyama,et al.  Vibration analysis of delaminated composite beams and plates using a higher-order finite element , 2002 .

[29]  Liyong Tong,et al.  A study of the vibration of delaminated beams using a nonlinear anti-interpenetration constraint model , 2002 .

[30]  K. Chandrashekhara,et al.  Modal analysis using fiber optic sensors and neural networks for prediction of composite beam delamination , 2002 .

[31]  Robert P. Thornburgh,et al.  Modeling the dynamic effects of delamination in adaptive composite laminate , 2002 .

[32]  Hoon Sohn,et al.  A review of structural health monitoring literature 1996-2001 , 2002 .

[33]  A. Chattopadhyay,et al.  Dynamic stability analysis of composite plates including delaminations using a higher order theory and transformation matrix approach , 2002 .

[34]  Satya N. Atluri,et al.  Effects of piezoelectric sensor/actuator debonding on vibration control of smart beams , 2001 .

[35]  P. K. Parhi,et al.  HYGROTHERMAL EFFECTS ON THE DYNAMIC BEHAVIOR OF MULTIPLE DELAMINATED COMPOSITE PLATES AND SHELLS , 2001 .

[36]  Maenghyo Cho,et al.  Higher-Order Zig-Zag Theory for Laminated Composites With Multiple Delaminations , 2001 .

[37]  Stefan Kaczmarczyk,et al.  Vibrations of composite plates with SMA fibres in a gas stream with defects of the type of delamination , 2001 .

[38]  S. Hanagud,et al.  Nonlinear Vibrations of a Delaminated Beam , 2001 .

[39]  Satya N. Atluri,et al.  Sensing and actuating behaviours of piezoelectric layers with debonding in smart beams , 2001 .

[40]  V. Birman,et al.  Vibrations of sandwich panels and beams with matrix cracks in the facings , 2001 .

[41]  Andrzej Tylikowski,et al.  Effects of piezoactuator delamination on the transfer functions of vibration control systems , 2001 .

[42]  R. P. Shimpi,et al.  A Review of Refined Shear Deformation Theories for Isotropic and Anisotropic Laminated Beams , 2001 .

[43]  Aditi Chattopadhyay,et al.  Aeroelastic control of smart composite plate with delaminations , 2000 .

[44]  W. Ostachowicz,et al.  Numerical and experimental investigation of free vibration of multilayer delaminated composite beams and plates , 2000 .

[45]  R. Butler,et al.  LOCATING DELAMINATIONS IN COMPOSITE BEAMS USING GRADIENT TECHNIQUES AND A GENETIC ALGORITHM , 2000 .

[46]  K. Jane,et al.  Vibration of Delaminated Beam-Plates with Multiple Delaminations Under Axial Forces* , 2000 .

[47]  P. Sinha,et al.  Finite Element Dynamic Analysis of Laminated Composite Plates with Multiple Delaminations , 2000 .

[48]  K. Chandrashekhara,et al.  A thick composite-beam model for delamination prediction by the use of neural networks , 2000 .

[49]  Ayech Benjeddou,et al.  Advances in piezoelectric finite element modeling of adaptive structural elements: a survey , 2000 .

[50]  S. Hanagud,et al.  Dynamics of a delaminated beam - Effects of nonlinearity , 2000 .

[51]  Sathya Hanagud,et al.  Dynamics of delaminated beams , 2000 .

[52]  Grant P. Steven,et al.  VIBRATION-BASED MODEL-DEPENDENT DAMAGE (DELAMINATION) IDENTIFICATION AND HEALTH MONITORING FOR COMPOSITE STRUCTURES — A REVIEW , 2000 .

[53]  G. Jeronimidis,et al.  Bending stiffness of composite plates with delamination , 2000 .

[54]  A. Chattopadhyay,et al.  Damage Detection and Vibration Control of a Delaminated Smart Composite Plate , 2000 .

[55]  Costas Soutis,et al.  Delamination Detection in Composite Laminates from Variations of Their Modal Characteristics , 1999 .

[56]  A. Chattopadhyay,et al.  Delamination Modeling and Detection in Smart Composite Plates , 1999 .

[57]  D. Saravanos,et al.  Mechanics and Computational Models for Laminated Piezoelectric Beams, Plates, and Shells , 1999 .

[58]  S. K. Bhattacharyya,et al.  Dynamic analysis of multiple delaminated composite twisted plates , 1999 .

[59]  Vijay K. Varadan,et al.  A review and critique of theories for piezoelectric laminates , 1999 .

[60]  G. Jeronimidis,et al.  Vibration of delaminated thin composite plates , 1999 .

[61]  J. N. Reddy,et al.  On laminated composite plates with integrated sensors and actuators , 1999 .

[62]  Marek Krawczuk,et al.  Vibration of a Laminated Composite Plate with Closing Delamination , 1999 .

[63]  S. Hanagud,et al.  Health monitoring of structures - Multiple delamination dynamics in composite beams with axial load , 1999 .

[64]  S. Hanagud,et al.  Health monitoring of structures - Multiple delamination dynamics in composite beams , 1999 .

[65]  Aditi Chattopadhyay,et al.  Modeling of adaptive composites including debonding , 1999 .

[66]  Aditi Chattopadhyay,et al.  Dynamics of delaminated smart composite cross-ply beams , 1999 .

[67]  L. Penn,et al.  Use of the Free Vibration Spectrum to Detect Delamination in Thick Composites , 1999 .

[68]  Junji Tani,et al.  Intelligent Material Systems: Application of Functional Materials , 1998 .

[69]  C. C. Chen,et al.  Postbuckling deformation and vibration of a delaminated beam-plate with arbitrary delamination location , 1998 .

[70]  T.-P. Chang,et al.  Vibration of postbuckled delaminated beam-plates , 1998 .

[71]  Charles R. Farrar,et al.  A summary review of vibration-based damage identification methods , 1998 .

[72]  J. Rossettos Effects of a Delamination and Initial Curvature on the Fundamental Frequency of Sandwich Beams , 1998 .

[73]  Grant P. Steven,et al.  A Review on the Modelling of Piezoelectric Sensors and Actuators Incorporated in Intelligent Structures , 1998 .

[74]  Aditi Chattopadhyay,et al.  Experimental investigation of composite beams with piezoelectric actuation and debonding , 1997, Adaptive Structures and Material Systems.

[75]  O. S. Salawu Detection of structural damage through changes in frequency: a review , 1997 .

[76]  M. Krawczuk,et al.  Dynamics of cracked composite material structures , 1997 .

[77]  Sathya Hanagud,et al.  DELAMINATED BEAM NONLINEAR DYNAMIC RESPONSE CALCULATION AND VISUALIZATION , 1997 .

[78]  C. Keilers Identifying composite plate delaminations using built-in sensors and actuators , 1997 .

[79]  Aditi Chattopadhyay,et al.  Modeling of smart composite laminates including debonding: A finite element approach , 1997 .

[80]  S. Hanagud,et al.  PVDF SENSOR AND ITS APPLICATIONS IN DELAMINATION RESPONSE DETECTION , 1997 .

[81]  Cliff J. Lissenden,et al.  Damage Detection by Piezoelectric Patches in a Free Vibration Method , 1997 .

[82]  J. Reddy Mechanics of laminated composite plates and shells : theory and analysis , 1996 .

[83]  R. Gadelrab,et al.  THE EFFECT OF DELAMINATION ON THE NATURAL FREQUENCIES OF A LAMINATED COMPOSITE BEAM , 1996 .

[84]  S. Hanagud,et al.  Delamination Modes in Composite Plates , 1996 .

[85]  A. Paolozzi,et al.  Experimental assessment of debonding damage in a carbon-fibre reinforced plastic sandwich panel by frequency variations , 1996 .

[86]  A. C. Okafor,et al.  Delamination Prediction in Composite Beams with Built-In Piezoelectric Devices Using Modal Analysis and Neural Network , 1996 .

[87]  W. Ostachowicz,et al.  Analysis of natural frequencies of delaminated composite beams based on finite element method , 1996 .

[88]  Dimitris A. Saravanos,et al.  EFFECTS OF DELAMINATIONS ON THE DAMPED DYNAMIC CHARACTERISTICS OF COMPOSITE LAMINATES: ANALYSIS AND EXPERIMENTS , 1996 .

[89]  Charles R. Farrar,et al.  Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: A literature review , 1996 .

[90]  Aditi Chattopadhyay,et al.  Modeling delaminations in smart composite laminates , 1996 .

[91]  Chyanbin Hwu,et al.  Free vibration of delaminated composite sandwich beams , 1995 .

[92]  Fu-Kuo Chang,et al.  Identifying Delamination in Composite Beams Using Built-In Piezoelectrics: Part I—Experiments and Analysis , 1995 .

[93]  F. Chang,et al.  Identifying Delamination in Composite Beams Using Built-In Piezoelectrics , 1995 .

[94]  Chien-chang Lin,et al.  Vibration of beam-plates having multiple delaminations , 1995 .

[95]  Sathya Hanagud,et al.  Delamination detection using dynamic characteristics of composite plates , 1995 .

[96]  Hsin-Piao Chen,et al.  Vibration Analysis of Delaminated Composite Laminates in Prebuckled States Based on a New Constrained Model , 1995 .

[97]  P. Goggin,et al.  Vibration Of A Delaminated Beam-plate Relative To Post-buckling States With Shear Deformation Theory , 1994 .

[98]  K. Craig,et al.  Damage detection in composite structures using piezoelectric materials (and neural net) , 1994 .

[99]  J. Reddy,et al.  THEORIES AND COMPUTATIONAL MODELS FOR COMPOSITE LAMINATES , 1994 .

[100]  Victor Birman,et al.  Detection of Delaminations in Composite Beams Using Piezoelectric Sensors , 1994 .

[101]  Maenghyo Cho,et al.  Efficient higher order composite plate theory for general lamination configurations , 1993 .

[102]  Hsin-Piao Chen,et al.  NATURAL FREQUENCIES OF DELAMINATED COMPOSITE LAMINATES UNDER COMPRESSIVE LOADS , 1993 .

[103]  J. E. Grady,et al.  Free vibrations of delaminated beams , 1991 .

[104]  A. Noor,et al.  Assessment of Computational Models for Multilayered Composite Shells , 1990 .

[105]  Gerard C. Pardoen,et al.  Effect of Delamination on the Natural Frequencies of Composite Laminates , 1989 .

[106]  Rakesh K. Kapania,et al.  Recent advances in analysis of laminated beams and plates. Part I - Sheareffects and buckling. , 1989 .

[107]  Rakesh K. Kapania,et al.  Recent Advances in Analysis of Laminated Beams and Plates, Part II: Vibrations and Wave Propagation , 1989 .

[108]  P. M. Mujumdar,et al.  Flexural vibrations of beams with delaminations , 1988 .

[109]  W. Yin,et al.  Vibration of a delaminated beam-plate relative to buckled states , 1988 .

[110]  M. Di Sciuva,et al.  An Improved Shear-Deformation Theory for Moderately Thick Multilayered Anisotropic Shells and Plates , 1987 .

[111]  J. N. Reddy,et al.  A generalization of two-dimensional theories of laminated composite plates† , 1987 .

[112]  M. D. Sciuva,et al.  BENDING, VIBRATION AND BUCKLING OF SIMPLY SUPPORTED THICK MULTILAYERED ORTHOTROPIC PLATES: AN EVALUATION OF A NEW DISPLACEMENT MODEL , 1986 .

[113]  Scott W. Sloan,et al.  Removal of singularities in tresca and mohr–coulomb yield functions , 1986 .

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

[115]  Y. Y. Liu,et al.  Vibrations of split beams , 1982 .

[116]  W. F. Brannen,et al.  Natural frequencies for out-of-plane vibrations of curved beams on elastic foundations , 1982 .

[117]  S. V. Kulkarni,et al.  Frequency as a Parameter in Delamination Problems—A Preliminary Investigation , 1971 .

[118]  Liyong Tong,et al.  An accurate laminated element for piezoelectric smart beams including peel stress , 2004 .

[119]  Tong Earn Tay,et al.  Characterization and analysis of delamination fracture in composites: An overview of developments from 1990 to 2001 , 2003 .

[120]  D. Roy Mahapatra,et al.  Finite element analysis of free vibration and wave propagation in asymmetric composite beams with structural discontinuities , 2002 .

[121]  Woonbong Hwang,et al.  Effect of debonding on natural frequencies and frequency response functions of honeycomb sandwich beams , 2002 .

[122]  Constantinos Soutis,et al.  Damage detection in composite materials using frequency response methods , 2002 .

[123]  Aditi Chattopadhyay,et al.  Unified Approach to Modeling Matrix Cracking and Delamination in Laminated Composite Structures , 2001 .

[124]  A. Chattopadhyay,et al.  A higher order plate theory for dynamic stability analysis of delaminated composite plates , 2000 .

[125]  Jaehong Lee,et al.  Free vibration analysis of delaminated composite beams , 2000 .

[126]  K. C. Jane,et al.  Vibration Analysis of Delaminated Composite Plates Under Axial Load , 1998 .

[127]  Aditi Chattopadhyay,et al.  DYNAMICS OF DELAMINATED COMPOSITE PLATES WITH PIEZOELECTRIC ACTUATORS , 1998 .

[128]  D. Shu,et al.  Free vibration of bimaterial split beam , 1996 .

[129]  Heow Pueh Lee,et al.  Finite element analysis of free vibration of delaminated composite plates , 1995 .

[130]  Dongwei Shu,et al.  Vibration of sandwich beams with double delaminations , 1995 .

[131]  Heow Pueh Lee,et al.  Free vibration of composite plates with delaminations around cutouts , 1995 .

[132]  J. Engblom,et al.  The effect of aminations in graphite/PEEK composite plates on modal dynamic characteristics , 1995 .

[133]  H. P. Lee,et al.  Free-vibration analysis of composite beams with multiple delaminations , 1994 .

[134]  Ronald C. Averill,et al.  Static and dynamic response of moderately thick laminated beams with damage , 1994 .

[135]  Hsin-Piao Chen Free vibration of prebuckled and postbuckled plates with delamination , 1994 .

[136]  Y. Mai,et al.  Buckling of delaminated composites re-examined , 1993 .

[137]  Max Gunzburger,et al.  Vibration of delaminated composite plates and some applications to non-destructive testing , 1993 .

[138]  Maenghyo Cho,et al.  An efficient higher-order plate theory for laminated composites , 1992 .

[139]  J. N. Reddy,et al.  Modeling of delamination in composite laminates using a layer-wise plate theory , 1991 .

[140]  Ahmed K. Noor,et al.  Assessment of Shear Deformation Theories for Multilayered Composite Plates , 1989 .

[141]  Amar C. Garg,et al.  Delamination—a damage mode in composite structures , 1988 .