Wall-thinning due to chemical reactions, heat, erosion, or a combination of such influences is the most dominant type of internal surface damage in piping systems. In order to examine the effect of wall-thinning on the natural frequencies, the elastodynamic model of the fiber-reinforced polymer pipe is formulated using a wavelet-based finite element method. In this context, a new set of Hermite shape functions is developed. The generalized eigen value problem is solved and the natural frequencies are obtained for an fiber-reinforced polymer pipe with different depths and locations of the wall-thinning. Moreover, the effect of wall-thinning on the modal frequencies of the pipe was verified experimentally. Both the analytical and experimental results demonstrate the potential of using vibration signature to detect internal surface damage in fiber-reinforced polymer pipes.
PoolKVDharanCKHFinnieI. Erosive wear of composite materials. Wear1986; 107: 1–12.
2.
SinmazcTFidanSGuV. Residual mechanical properties of carbon/polyphenylenesulphide composites after solid particle erosion. Mater Des2008; 29: 1419–1426.
3.
PatnaikASatapathyAChandN. Solid particle erosion wear characteristics of fiber and particulate filled polymer composites: a review. Wear2010; 268: 249–263.
4.
FouadYEl-MeniawiMAfifiA. Erosion behavior of epoxy based unidirectional (GFRP) composite materials. Alexandria Eng J2011; 50: 29–34.
5.
TewariUSHarshaAPHagerAM. Solid particle erosion of carbon fiber – and glass fiber – epoxy composites. Compos Sci Technol2003; 63: 549–557.
6.
BarkoulaN. Effects of fiber content and relative fiber-orientation on the solid particle erosion of GF/PP composites. Composites2002; 252: 80–87.
7.
ChangFHCouchmanJCEisenmannJR. Application of a special X-ray nondestructive testing technique for monitoring damage zone growth in composite laminates (ASTM special technical publication), Philadelphia, PA: ASTM-580, 1975, pp. 176–190.
8.
JamaHAHusseinEMALee-SullivanP. Detection of debonding in composite-aluminum joints using gamma-ray Compton scattering. NDT & E Int1998; 31: 99–103.
9.
MouritzAPTownsendCShah-KhanMZ. Non-destructive detection of fatigue damage in thick composites by pulse-echo ultrasonics. Compos Sci Technol2000; 60: 23–32.
10.
AymerichFMeiliS. Ultrasonic evaluation of matrix damage in impacted composite laminates. Composites2000; 31: 1–6.
11.
Johnson EC, Nokes JP and Hawkins GF. NDE of composite seismic retrofits to bridges. In: Nondestructive characterization of materials IX, AIP Conference Proceedings 497, Sydney, Australia, 1999, pp.367–372.
12.
FengMQLiuCHeX. Electromagnetic image reconstruction for damage detection. ASCE J Eng Mech2000; 126: 725–729.
13.
Kundu T. Guided waves for nondestructive testing experiment and analysis. In: Proceedings of the international symposium on nondestructive testing of materials and structures, NDTMS – 2011, Istanbul, Turkey, 15–18 May 2011.
14.
UdayaBHHotaVSGanga-RaoPK. Nondestructive evaluation of FRP composite bridge components using infrared thermography. AIP Conf Proc2002; 615: 1303–1310.
15.
NarkisPY. Identification of crack location in vibrating simply supported beams. J Sound Vib1994; 172: 549–558.
16.
PandeyAKMBiswasM. Experimental verification of flexibility difference method for locating damage in structures. J Sound Vib1995; 184: 311–328.
17.
MohiuddinMKhuliefYA. Modal characteristics of cracked rotors using a conical shaft finite element. J Comput Method Appl Mech Eng1998; 162: 223–247.
18.
XiangJWChenXFHeZJ. Identification of crack in a rotor system based on wavelet finite element method. Finite Elem Anal Des2007; 43: 1068–1081.
19.
LeeSJeongSParkJ. Damage identification using flexural vibration actuated and sensed by piezoelectric transducers. Proc IMechE, Part C: J Mechanical Engineering Science2014; 228: 2132–2140.
20.
MurigendrappaSMMaitiSKSrirangarajanHR. Experimental and theoretical study on crack detection in pipes filled with fluid. J Sound Vib2004; 270: 1013–1032.
21.
YoonHISonIS. Dynamic behaviour of cracked simply supported pipe conveying fluid with moving mass. J Sound Vib2006; 292: 941–953.
22.
DilenaMDell’OsteMFMorassiA. Detecting cracks in pipes filled with fluid from changes in natural frequencies. Mech Syst Signal Process2011; 25: 3186–3197.
23.
Nettles AT. Basic mechanics of laminated composite plates. Technical Report no. M-764, October 1994. Huntsville, Alabama, USA: NASA Marshall Space Flight Centre.
24.
MororoLAMeloAMCHolandaASGlobal analysis of laminated tubes. In: DvorkinEGoldschmitMStortiM (eds). Mecanica computacional XXIX, Buenos Aires, Argentina, Argentina: Asociacion Argentina de Mecanica Computacional, 2010, pp. 1367–1383.
25.
TorokJS. Analytical mechanics with an introduction to dynamical systems, New York, USA: John Wiley & Sons Inc, 2000.
26.
SomanKPRamachandranKI. Insight into wavelets from theory to practice, 2nd ed. New Delhi, India: Prentice Hall - India, 2005.
27.
HeWYRenWX. Finite element analysis of beam structures based on trigonometric wavelet. Finite Elem Anal Des2012; 51: 59–66.
28.
ChanWSDemirhanKC. A simple closed-form solution of bending stiffness for laminated composite tubes. J Reinforc Plast Compos2000; 19: 278–291.
29.
Zinberg H and Symonds MF. The development of an advanced composite tail rotor driveshaft. In: Proceedings of 26th annual forum of the American helicopter society. Washington, USA, June 1970.
30.
HajianmalekiMQatuMSMechanics of composite beams. In: PavlaT (ed.). Advances in composite materials – analysis of natural and man-made materials, Rijeka, Croatia: InTech Publisher, 2011, pp. 527–546.
