Influence of Change in Inner Layer Thickness of Composite Circular Tube on Second-Harmonic Generation by Primary Circumferential Ultrasonic Guided Wave Propagation
-
Abstract
The influence of change in inner layer thickness of a composite circular tube is investigated on second-harmonic generation (SHG) by primary circumferential ultrasonic guided wave (CUGW) propagation. Within a second-order perturbation approximation, the nonlinear effect of primary CUGW propagation is treated as a second-order perturbation to its linear response. It is found that change in inner layer thickness of the composite circular tube will influence the efficiency of SHG by primary CUGW propagation in several aspects. In particular, with change in inner layer thickness, the phase velocity matching condition that is originally satisfied for the primary and double-frequency CUGW mode pair selected may no longer be satisfied. This will remarkably influence the efficiency of SHG by primary CUGW propagation. Theoretical analyses and numerical results show that the effect of SHG by primary CUGW propagation is very sensitive to change in inner layer thickness, and it can be used to accurately monitor a minor change in inner layer thickness of the composite circular tube. -
-
References
[1] Wang H F, Han J T and Zhang H 2013 Appl. Mech. Mater. 278 487 doi: 10.4028/www.scientific.net/AMM.278-280.487[2] Zeng D Z, Deng K H, Shi T H and Lin Y H 2014 J. Press. Vess. Tech. 136 061402 doi: 10.1115/1.4026976[3] Serikov O 2005 Metallurgist 49 347 doi: 10.1007/s11015-006-0002-0[4] Torbatia A M, Mirandab R M, Quintino L, Williams S and Yapp D 2011 J. Mater. Process. Tech. 211 1112 doi: 10.1016/j.jmatprotec.2011.01.013[5] Chillara V K and Lissenden C J 2015 Opt. Eng. 55 011002 doi: 10.1117/1.OE.55.1.011002[6] Deng M X 1996 Jpn. J. Appl. Phys. 35 4004 doi: 10.1143/JJAP.35.4004[7] Deng M X 1999 J. Appl. Phys. 85 3051 doi: 10.1063/1.369642[8] Deng M X 2003 J. Appl. Phys. 94 4152 doi: 10.1063/1.1601312[9] Srivastava A and Scalea F L 2009 J. Sound Vib. 323 932 doi: 10.1016/j.jsv.2009.01.027[10] Zhao J L, Chillara V K, Ren B Y, Cho H J, Qiu J H and Lissenden C J 2016 J. Appl. Phys. 119 064902 doi: 10.1063/1.4941390[11] Deng M X, Xiang Y X and Liu L B 2011 J. Appl. Phys. 109 113525 doi: 10.1063/1.3592672[12] Deng M X and Pei J F 2007 Appl. Phys. Lett. 90 121902 doi: 10.1063/1.2714333[13] Xiang Y X, Deng M X, Xuan F Z and Liu C J 2011 Ultrasonics 51 974 doi: 10.1016/j.ultras.2011.05.013[14] Rauter N and Lammering R 2015 Mech. Adv. Mater. Struc. 22 44 doi: 10.1080/15376494.2014.907950[15] Valle C, Qu J M and Jacobs L J 1999 Int. J. Eng. Sci. 37 1369 doi: 10.1016/S0020-72259800133-5[16] Qu J M, Berthelot Y and Li Z B 1996 Rev. Prog. Quan. Nondest. Eval. 15 169 doi: 10.1007/978-1-4613-0383-1_21[17] Shivaraj K, Balasubramaniam K and Krishnamurthy C V 2008 J. Press. Vess. Tech. 130 021502 doi: 10.1115/1.2892031[18] Luo W, Rose J L and Van Velsor1 J K 2006 Rev. Prog. Quan. Nondest. Eval. 25 165[19] Li J 2005 J. Press. Vess. Tech. 127 530 doi: 10.1115/1.2083867[20] Gao G J, Deng M X and Li M L 2015 Acta Phys. Sin. 64 184303 in Chinese[21] Deng M X, Gao G J and Li M L 2015 Chin. Phys. Lett. 32 124305 doi: 10.1088/0256-307X/32/12/124305[22] Deng M X, Gao G J, Xiang Y X and Li M L 2017 Ultrasonics 75 209 doi: 10.1016/j.ultras.2016.12.001[23] Deng M X 2006 Ultrasonics 44 e1157 doi: 10.1016/j.ultras.2006.05.158[24] Li M L, Deng M X and Gao G J 2016 Acta Phys. Sin. 65 194301 in Chinese[25] Gao G J, Deng M X, Li M L and Liu C 2015 Acta Phys. Sin. 64 224301 in Chinese[26] Wang Y J 2004 Acta Acust. 29 97 in Chinese[27] Rose J L 1999 Ultrasonic Waves in Solid Media UK: Cambridge University Press[28] de Lima W J N and Hamilton M F 2003 J. Sound Vib. 265 819 doi: 10.1016/S0022-460X0201260-9[29] Hearmon R F S and Landolt- Börnstein 1979 Numerical Data and Functional Relationship in Science and Technology Group III Berlin: Springer[30] Pruell C, Kim J Y, Qu J M and Jacobs L J 2009 Smart Mater. Struct. 18 035003 doi: 10.1088/0964-1726/18/3/035003[31] Nagy P B 1998 Ultrasonics 36 375 doi: 10.1016/S0041-624X9700040-1[32] Herrmann J, Kim J Y, Jacobs L J, Qu J M, Littles J W and Savage M F 2006 J. Appl. Phys. 99 124913 doi: 10.1063/1.2204807
DownLoad: