Non-linear vibration analysis of smart composite structures with discrete delamination using a refined layerwise theory

A non-linear vibration analysis procedure has been developed to investigate the dynamic response of composite laminates with embedded and/or surface bonded piezoelectric sensors and multiple finite/discrete delaminations. The objective is to accurately predict the sensor output in the time domain. A recently developed refined layerwise composite theory is used to develop the piezoelectric-mechanical model. A two-way coupled electro-mechanical formulation is used to derive the equations of motion. An adaptive non-linear transient implicit algorithm is used to generate the voltage time history, which is useful in characterizing the presence of delamination. The contact problem of delaminated interfacial surfaces is modelled in terms of fictitious linear springs to provide an accurate description of the transient behavior. The accuracy of the model is validated through comparison with experimental results. The validity of low frequency vibration analysis in detection of delamination(s) from in-situ sensor outputs is also established. It is anticipated that the developed framework will be a useful tool in structural health monitoring studies.

[1]  Martyn J Pavier,et al.  A specialized composite plate element for problems of delamination buckling and growth , 1996 .

[2]  Xu Zhou,et al.  Interlaminar Stress Analysis of Shell Structures with Piezoelectric Patch Including Thermal Loading , 2002 .

[3]  Maenghyo Cho,et al.  Buckling analysis for delaminated composites using plate bending elements based on higher‐order zig‐zag theory , 2002 .

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

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

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

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

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

[9]  G. Kardomateas,et al.  Buckling and Postbuckling of Delaminated Composites Under Compressive Loads Including Transverse Shear Effects , 1988 .

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

[11]  Young W. Kwon,et al.  Dynamic finite element analysis of laminated beams with delamination cracks using contact-impact conditions , 1996 .

[12]  K. Bathe.  Finite Element Procedures , 1995 .

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

[14]  Aditi Chattopadhyay,et al.  Delamination buckling and postbuckling of composite cylindrical shells , 1995 .

[15]  Aditi Chattopadhyay,et al.  New higher order plate theory in modeling delamination buckling of composite laminates , 1994 .

[16]  K. K. Shukla,et al.  NON-LINEAR TRANSIENT ANALYSIS OF MODERATELY THICK LAMINATED COMPOSITE PLATES , 2001 .

[17]  Anindya Ghoshal,et al.  Transient vibration of smart structures using a coupled piezoelectric-mechanical theory , 2004 .

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

[19]  Anindya Ghoshal,et al.  A continuous sensor for damage detection in bars , 2002 .

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

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

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

[23]  W. N. Martin,et al.  A Continuous Sensor to Measure Acoustic Waves in Plates , 2001 .