메뉴 건너뛰기




Volumn 45, Issue 1-4, 2006, Pages 196-207

A derivation of the Christoffel equation with damping

Author keywords

Acoustic attenuation; Christoffel equation; Piezoelectric effect

Indexed keywords

APPROXIMATION THEORY; DAMPING; EIGENVALUES AND EIGENFUNCTIONS; PIEZOELECTRICITY; WAVE EQUATIONS;

EID: 33751110662     PISSN: 0041624X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ultras.2006.09.005     Document Type: Article
Times cited : (7)

References (14)
  • 1
    • 84960571603 scopus 로고
    • On the free vibrations of an infinite plate of homogeneous isotropic elastic matter
    • Rayleigh L. On the free vibrations of an infinite plate of homogeneous isotropic elastic matter. Proc. Lond. Mathemat. Soc. 20 (1889) 225-234
    • (1889) Proc. Lond. Mathemat. Soc. , vol.20 , pp. 225-234
    • Rayleigh, L.1
  • 2
    • 33751085244 scopus 로고    scopus 로고
    • H. Lamb, On waves in an elastic plate, Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character 93 (648) (1917) 114-128.
  • 3
    • 84953660250 scopus 로고
    • Thickness vibrations of piezoelectric plates
    • Tiersten H.F. Thickness vibrations of piezoelectric plates. J. Acoust. Soc. Am. 35 1 (1963) 53-58
    • (1963) J. Acoust. Soc. Am. , vol.35 , Issue.1 , pp. 53-58
    • Tiersten, H.F.1
  • 4
    • 84906887825 scopus 로고
    • Wave propagation in an infinite piezoelectric plate
    • Tiersten H.F. Wave propagation in an infinite piezoelectric plate. J. Acoust. Soc. Am. 35 2 (1963) 53-58
    • (1963) J. Acoust. Soc. Am. , vol.35 , Issue.2 , pp. 53-58
    • Tiersten, H.F.1
  • 5
    • 84984471125 scopus 로고
    • Plane waves in linear viscoelastic media
    • Buchen P.W. Plane waves in linear viscoelastic media. Geophys. J.R. Astr. Soc. 23 (1971) 531-542
    • (1971) Geophys. J.R. Astr. Soc. , vol.23 , pp. 531-542
    • Buchen, P.W.1
  • 6
    • 0011792405 scopus 로고
    • The rayleigh-lamb dispersion equation for a viscoelastic plate
    • Nkemzi D. The rayleigh-lamb dispersion equation for a viscoelastic plate. Mech. Res. Commun. 20 3 (1993) 215-222
    • (1993) Mech. Res. Commun. , vol.20 , Issue.3 , pp. 215-222
    • Nkemzi, D.1
  • 7
    • 0000218557 scopus 로고
    • Piezoelectric wave dispersion curves for infinite anisotropic plates
    • Syngellakis S., and Lee P.C.Y. Piezoelectric wave dispersion curves for infinite anisotropic plates. J. Appl. Phys. 73 11 (1993) 7152-7161
    • (1993) J. Appl. Phys. , vol.73 , Issue.11 , pp. 7152-7161
    • Syngellakis, S.1    Lee, P.C.Y.2
  • 10
    • 0002943591 scopus 로고
    • On the structure of the green-christoffel tensor
    • Federov F.I., and Federov A.F. On the structure of the green-christoffel tensor. J. Phys. A: Math. Gen. 24 (1991) 71-78
    • (1991) J. Phys. A: Math. Gen. , vol.24 , pp. 71-78
    • Federov, F.I.1    Federov, A.F.2
  • 11
    • 0000839758 scopus 로고
    • Anisotropic acoustic attenuation with new measurements for quartz at room temperatures
    • Lamb J., and Richter J. Anisotropic acoustic attenuation with new measurements for quartz at room temperatures. Proc. R. Soc. 293A (1966) 479-492
    • (1966) Proc. R. Soc. , vol.293 A , pp. 479-492
    • Lamb, J.1    Richter, J.2
  • 12
    • 12344253643 scopus 로고    scopus 로고
    • Plane harmonic waves in an infinite piezoelectric plate with dissipation
    • Lee P.C.Y., and Liu N. Plane harmonic waves in an infinite piezoelectric plate with dissipation. IEEE Trans. Ultrason., Ferroelect., Freq. Contr. 51 12 (2004) 1629-1638
    • (2004) IEEE Trans. Ultrason., Ferroelect., Freq. Contr. , vol.51 , Issue.12 , pp. 1629-1638
    • Lee, P.C.Y.1    Liu, N.2
  • 13
    • 0033293125 scopus 로고    scopus 로고
    • Thickness vibrations of piezoelectric plates with dissipation
    • Lee P.C.Y., Liu N.H., and Ballato A. Thickness vibrations of piezoelectric plates with dissipation. IEEE Ultrason. Symp. (1999) 869-872
    • (1999) IEEE Ultrason. Symp. , pp. 869-872
    • Lee, P.C.Y.1    Liu, N.H.2    Ballato, A.3
  • 14
    • 0036012878 scopus 로고    scopus 로고
    • Accurate measurements of the acoustical physical constants of synthetic α-quartz for saw devices
    • Kushibiki J.-i. Accurate measurements of the acoustical physical constants of synthetic α-quartz for saw devices. IEEE Trans. Ultrason., Ferroelect., Freq. Contr. 49 1 (2002) 125-135
    • (2002) IEEE Trans. Ultrason., Ferroelect., Freq. Contr. , vol.49 , Issue.1 , pp. 125-135
    • Kushibiki, J.-i.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.