Spectral finite element analysis of coupled wave propagation in composite beams with multiple delaminations and strip inclusions

International Journal of Solids and Structures

Volumn 41, Issue 5-6, 2004, Pages 1173-1208

  Mahapatra, D Roy ^a   Gopalakrishnan, S ^a  

^a INDIAN INSTITUTE OF SCIENCE   (India)

Author keywords

Bounded media; Delaminations; Distributed contact; FFT; Interface; Multiple; Power flow; Scattering; SFEM; Strip inclusion; Wavenumber

Indexed keywords

COMPOSITE BEAMS AND GIRDERS; FINITE ELEMENT METHOD; FREQUENCIES; INTERFACES (MATERIALS); STIFFNESS MATRIX; WAVE PROPAGATION;

MULTI-POINT CIONSTRAINTS (MPC);

STRUCTURAL ANALYSIS;

BEAM; SPECTRAL ANALYSIS;

EID: 0742322747     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2003.10.018     Document Type: Article

References (45)

1. Barbero E.J. Reddy J.N. Modeling of delamination in composite laminates using a layer-wise plate theory International Journal of Solids and Structures 28 1991 373-388
2. Bent A. Hagood N.W. Rodgers J.P. Anisotropic actuation with piezoelectric composites Journal of Intelligent Material Systems and Structures 6 3 1995 338-349
3. Brennan M.J. Elliott S.J. Pinnington R.J. The dynamic coupling between piezoceramic actuators and a beam Journal of Acoustical Society of America 102 4 1997 1931-1942
4. Cai C. Liu G.R. Lam K.Y. A technique for modelling multiple piezoelectric layers Smart Materials and Structures 10 2001 689-694
5. Castro C. Zuazua E. Boundary controllability of a hybrid system consisting in two flexible beams connected by a point mass SIAM Journal on Control and Optimization 36 1998 1576-1595
6. Chakraborty A. Mahapatra D.R. Gopalakrishnan S. Finite element analysis of free vibration and wave propagation in asymmetric composite beams with structural discontinuities Composite Structures 10 2001 1046-1058
7. Clark R.L. Saunders W.R. Gribbs G.P. Adaptive Structures 1998 Wiley NY
8. Coats T.W. Harris C.E. Experimental verification of a progressive damage model for IM7/5260 laminates subjected to tension-tension fatigue Journal of Composite Materials 29 3 1995 280-305
9. Cook R.D. Malkus D.S. Plesha M.E. Concepts and Applications of Finite Element Analysis, Constraints 1989 John Wiley - Sons, Inc.
10. Cowper G.R. On the accuracy of Timoshenko beam theory ASCE Journal of Applied Mechanics 94 1968 1447-1453
11. Doyle J.F. Detection of size and location of transverse crack in beams Experimental Mechanics 35 1995 272-280
12. Doyle J.F. Wave Propagation in Structures 1997 Springer-Verlag NY
13. Geubelle P.H. Rice J.R. A spectral method for three-dimensional elastodynamic fracture problems Journal of Mechanics and Physics of Solids 43 11 1995 1791-1824
14. Gopalakrishnan S. Doyle J.F. Spectral super elements for wave propagation in structures with local non-uniformities Computer Methods in Applied Mechanics and Engineering 121 1995 77-90
15. Heschel M. Kuhmann J.F. Bouwstra S. Amskov M. Stacking technology for a space constrained microsystem Journal of Intelligent Material Systems and Structures 9 1998 749-754
16. Howard C.Q. Snyder S.D. Hansen C.H. Calculation of vibratory power transmission for use in active vibration control Journal of Sound and Vibration 233 4 2000 573-585
17. Kessler S.S. Spearing S.M. Soutis C. Damage detection in composite materials using Lamb wave methods Smart Materials and Structures 11 2002 269-278
18. Kouchakzadeh M.A. Sekine H. Compressive buckling analysis of rectangular composite laminates containing multiple delaminations Composite Structures 50 2000 249-255
19. Lakshmanan K.A. Pines D.J. Damage identification of chordwise crack size and location in uncoupled composite rotorcraft flexbeams Journal of Intelligent Material Systems and Structures 9 1998 146-155
20. Lee J. Free vibration analysis of delaminated composite beams Computers and Structures 74 2000 121-129
21. Lee J. Gurdal Z. Griffin H.Jr. Layer-wise approach for the bifurcation problem in laminated composites with delaminations AIAA Journal 31 2 1993 331-338
22. Lee U. Kim J. Determination of nonideal beam boundary conditions: A spectral element approach AIAA Journal 38 2 2000 309-316
23. Lin X. Yuan F.G. Diagnostic Lamb waves in an integrated piezoelectric sensor/actuator plate: Analytical and experimental studies Smart Materials and Structures 10 2001 907-913
24. Liu G.R. A combined finite element/strip element method for analyzing elastic wave scattering by cracks and inclusions in laminates Computational Mechanics 28 2002 76-82
25. Liu G.R. Achenbach J.D. Strip element method to analyze wave scattering by cracks in anisotropic laminated plates Journal of Applied Mechanics 62 1995 607-613
26. Luo H. Hanagud S. Dynamics of delaminated beams International Journal of Solids and Structures 37 2000 1501-1519
27. Mahapatra D.R. Gopalakrishnan S. A spectral finite element model for analysis of axial-flexural-shear coupled wave propagation in laminated composite beams Composite Structures 59 1 2003 67-88
28. Mahapatra D.R. Gopalakrishnan S. Sankar T.S. Spectral-element-based solutions for wave propagation analysis of multiply connected laminated composite beams Journal of Sound and Vibration 237 5 2000 819-836
29. Mahapatra D.R. Gopalakrishnan S. Balachandran B. Active feedback control of multiple waves in helicopter gearbox support struts Smart Materials and Structures 10 2001 1046-1058
30. Mahapatra, D.R., Gopalakrishnan, S., Sankar, T.S., 2001b. Scattering and transmission of mixed-mode waves in delaminated thick composite beams. ASME Design Engineering Technical Conference, 18th Biennial Conference on Vibration and Noise, Pittsburgh, Pennsylvania, USA, Sept. 9-12. Paper no. DETC01-VIB-21543
31. Nag A. Mahapatra D.R. Gopalakrishnan S. Identification of delamination in a composite beam using a damaged spectral element Structural Health Monitoring 1 1 2002 105-126
32. Nag A. Roy Mahapatra D. Gopalakrishnan S. Sankar T.S. A spectral finite element with embedded delamination for modeling of wave scattering in composite beams Composite Science and Technology 63 2003 2187-2200
33. Pagano N.J. Interlaminar Response of Composite Materials Composite Materials Series 5 1989 Elsevier
34. Park G. Cudney H.H. Inman D.J. An Integrated monitoring technique using structural impedence sensors Journal of Intelligent Material Systems and Structures 11 2000 448-455
35. Purekar A.S. Pines D.J. Detecting damage in non-uniform beams using the dereververated transfer function response Smart Materials and Structures 9 2000 429-444
36. Reddy J.N. Mechanics of Laminated Composite Plates 1997 CRC Press USA
37. Sankar B.V. Zhu H. The effect of stitching on the low-velocity impact response of delaminated composite beams Composite Science and Technology 60 2000 2681-2691
38. Seeling J.M. Hoppmann W.H.H. Impact on an elastically connected double beam system Journal of Applied Mechanics 31 1964 621-626
39. Senthil S.V. Batra R.C. Exact solution for the cylindrical bending of laminated plates with embedded piezoelectric shear actuators Smart Materials and Structures 10 2001 240-251
40. Tanaka N. Kikushima Y. Optimal vibration feedback control of an Euler-Bernoulli beam: Toward realization of the active sink method Journal of Vibration and Acoustics 121 1999 174-182
41. Tong L. Sun D. Atluri S.N. Sensing and actuating behaviours of piezoelectric layers with debonding in smart beams Smart Materials and Structures 10 4 2001 713-723
42. Tsai J.L. Guo C. Sun C.T. Dynamic delamination fracture toughness in unidirectional polymer composites Composite Science and Technology 61 2001 87-94
43. Tupper, H.T., 2000. Smart structures and materials 2000: Damping and isolation. In: Proceedings of SPIE, vol. 3989
44. Valdez, S.H.D., Soutis, C., 2001. A structural health monitoring system for laminated composites. ASME Design Engineering Technical Conference, Proc. of 18th Biennial Conference on Vibration and Noise, Pittsburgh, Pennsylvania, USA
45. Xi Z.C Liu G.R. Lam K.Y. Shang H.M. A strip-element method for analyzing wave scattering by a crack in a fluid-filled composite cylindrical shell Composite Science and Technology 60 2000 1985-1996