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Volumn 64, Issue 1, 1978, Pages 1-37

Elastic waves in rods and clad rods

Author keywords

[No Author keywords available]

Indexed keywords

ULTRASONIC DELAY LINES;

EID: 0017991357     PISSN: 00014966     EISSN: NA     Source Type: Journal    
DOI: 10.1121/1.381962     Document Type: Article
Times cited : (281)

References (105)
  • 1
    • 0003851731 scopus 로고
    • Handbook of Mathematical Functions
    • Dover, New York
    • M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1965).
    • (1965)
    • Abramowitz, M.1    Stegun, I.A.2
  • 2
    • 70350223993 scopus 로고
    • Flexural Waves in Elastic Beams of Circular Cross Section
    • H. N. Abramson, “Flexural Waves in Elastic Beams of Circular Cross Section,” J. Acoust. Soc. Am. 29, 42–46 (1957).
    • (1957) J. Acoust. Soc. Am , vol.29 , pp. 42-46
    • Abramson, H.N.1
  • 4
    • 0001714313 scopus 로고
    • On the Axially-Symmetric Steady Wave Propagation in Elastic Circular Rods
    • J. Adem, “On the Axially-Symmetric Steady Wave Propagation in Elastic Circular Rods,” Q. Appl. Math. 12, 261 (1954).
    • (1954) Q. Appl. Math , vol.12 , pp. 261
    • Adem, J.1
  • 5
    • 0004247986 scopus 로고
    • Torsional Waves in Composite Rods
    • A. E. Armenakas, “Torsional Waves in Composite Rods,” J. Acoust. Soc. Am. 38, 439–446 (1965).
    • (1965) J. Acoust. Soc. Am , vol.38 , pp. 439-446
    • Armenakas, A.E.1
  • 6
    • 0014754402 scopus 로고
    • Propagation of Harmonic Waves in Composite Circular-Cylindrical Rods
    • A. E. Armenakas, “Propagation of Harmonic Waves in Composite Circular-Cylindrical Rods,” J. Acoust. Soc. Am. 47, 822–837 (1970).
    • (1970) J. Acoust. Soc. Am , vol.47 , pp. 822-837
    • Armenakas, A.E.1
  • 7
    • 85007687191 scopus 로고
    • Propagation of Harmonic Waves in Composite Circular Cylindrical Shells. I: Theoretical Investigation
    • “II: Numerical Analysis,” AIAA J. 9, 599–605 (1971).
    • A. E. Armenakas, “Propagation of Harmonic Waves in Composite Circular Cylindrical Shells. I: Theoretical Investigation,” AIAAJ. 5, 740–744 (1967), “II: Numerical Analysis,” AIAA J. 9, 599–605 (1971).
    • (1967) AIAAJ , vol.5 , pp. 740-744
    • Armenakas, A.E.1
  • 8
    • 0014871742 scopus 로고
    • Harmonic Nonaxisym-metric Waves with Short Wavelengths Propagating in Composite Rods
    • A. E. Armenakas and H. E. Keck, “Harmonic Nonaxisym-metric Waves with Short Wavelengths Propagating in Composite Rods,” J. Acoust. Soc. Am. 48, 1160—1169 (1970).
    • (1970) J. Acoust. Soc. Am , vol.48 , pp. 1160-1169
    • Armenakas, A.E.1    Keck, H.E.2
  • 9
    • 0003562619 scopus 로고
    • Acoustic Fields and Waves in Solids
    • Wiley, New York
    • B. A. Auld, Acoustic Fields and Waves in Solids (Wiley, New York, 1973), Vol. 2.
    • (1973) , vol.2
    • Auld, B.A.1
  • 10
    • 79960075326 scopus 로고
    • Thickness-Shear Vibrations of Circular Bars
    • J. H. Baltrukonis andW. G. Gottenberg, “Thickness-Shear Vibrations of Circular Bars,” J. Acoust. Soc. Am. 31, 734–739 (1959).
    • (1959) J. Acoust. Soc. Am , vol.31 , pp. 734-739
    • Baltrukonis, J.H.1    Gottenberg, W.G.2
  • 11
    • 84955041139 scopus 로고
    • Transverse Wave Propagation in a Solid, Elastic Mass Contained by an Infinitely Long, Rigid, Circular-Cylindrical Tank
    • Proc. 4th Midwestern Conf. Solid Mech., Univ. Texas, Austin, TX, pp. September
    • J. H. Baltrukonis and W. G. Gottenberg, “Transverse Wave Propagation in a Solid, Elastic Mass Contained by an Infinitely Long, Rigid, Circular-Cylindrical Tank,” Proc. 4th Midwestern Conf. Solid Mech., Univ. Texas, Austin, TX, pp. 396–414 (September 1959).
    • (1959) , pp. 396-414
    • Baltrukonis, J.H.1    Gottenberg, W.G.2
  • 12
    • 21244495445 scopus 로고
    • Free, Transverse Vibrations of a Solid Elastic Mass in an Infinitely Long, Rigid, Circular-Cylindrical Tank
    • J. H. Baltrukonis, “Free, Transverse Vibrations of a Solid Elastic Mass in an Infinitely Long, Rigid, Circular-Cylindrical Tank,” J. Appl. Mech. 27, 663–668 (1960).
    • (1960) J. Appl. Mech , vol.27 , pp. 663-668
    • Baltrukonis, J.H.1
  • 13
    • 34748818444 scopus 로고
    • Dynamics of a Hollow, Elastic Cylinder Contained by an Infinitely Long Rigid Circular— Circular-Cylindrical Tank
    • J. H. Baltrukonis, W. G. Gottenberg, and R. N. Schreiner, “Dynamics of a Hollow, Elastic Cylinder Contained by an Infinitely Long Rigid Circular— Circular-Cylindrical Tank,” J. Acoust. Soc. Am. 32, 1539–1546 (1960).
    • (1960) J. Acoust. Soc. Am , vol.32 , pp. 1539-1546
    • Baltrukonis, J.H.1    Gottenberg, W.G.2    Schreiner, R.N.3
  • 14
    • 84953659576 scopus 로고
    • Axial—Shear Vibrations of an Infinitely Long Composite Circular Cylinder
    • J. H. Baltrukonis, W. G. Gottenberg, and R. N. Schreiner, “Axial—Shear Vibrations of an Infinitely Long Composite Circular Cylinder,” J. Acoust. Soc. Am. 33, 1447–1457 (1961).
    • (1961) J. Acoust. Soc. Am , vol.33 , pp. 1447-1457
    • Baltrukonis, J.H.1    Gottenberg, W.G.2    Schreiner, R.N.3
  • 15
    • 36149008810 scopus 로고
    • The Velocity of Longitudinal Waves in Cylindrical Bars
    • D. Bancroft, “The Velocity of Longitudinal Waves in Cylindrical Bars,” Phys. Rev. 59, 588–593 (1941).
    • (1941) Phys. Rev , vol.59 , pp. 588-593
    • Bancroft, D.1
  • 16
    • 36849126643 scopus 로고
    • Propagation of Elastic Waves in a Cylindrical Bore Containing a Fluid
    • M. A. Biot, “Propagation of Elastic Waves in a Cylindrical Bore Containing a Fluid,” J. Appl. Phys. 23, 997–1005 (1952).
    • (1952) J. Appl. Phys , vol.23 , pp. 997-1005
    • Biot, M.A.1
  • 17
    • 84955044740 scopus 로고
    • Schwingungen des isotropen Kreiszylinders mit verschwindender Axialkomponente
    • H. Bohme, E. Fromm, and E. Sittig, “Schwingungen des isotropen Kreiszylinders mit verschwindender Axialkomponente,” Acustica 10, 67–71 (1960).
    • (1960) Acustica , vol.10 , pp. 67-71
    • Bohme, H.1    Fromm, E.2    Sittig, E.3
  • 18
    • 8944245043 scopus 로고
    • Velocity Dispersion of the Lowest-Order Longitudinal Mode in Finite Rods of Circular Cross Section
    • R. E. Booker and F. H. Sagar, “Velocity Dispersion of the Lowest-Order Longitudinal Mode in Finite Rods of Circular Cross Section,” J. Acoust. Soc. Am. 49, 1491–1498 (1971).
    • (1971) J. Acoust. Soc. Am , vol.49 , pp. 1491-1498
    • Booker, R.E.1    Sagar, F.H.2
  • 19
    • 0003456619 scopus 로고
    • Acoustic Waveguide with a Cladded Core Ceometry
    • G. D. Boyd, L. A. Coldren, and R. N. Thurston, “Acoustic Waveguide with a Cladded Core Ceometry,” Appl. Phys. Lett. 26, 31–34 (1975).
    • (1975) Appl. Phys. Lett , vol.26 , pp. 31-34
    • Boyd, G.D.1    Coldren, L.A.2    Thurston, R.N.3
  • 21
    • 0001298228 scopus 로고
    • The Equations of an Isotropic Elastic Solid in Polar and Cylindrical Coordinates, Their Solutions, and Applications
    • C. Chree, “The Equations of an Isotropic Elastic Solid in Polar and Cylindrical Coordinates, Their Solutions, and Applications,” Trans. Cambridge Philos. Soc. 14, 250–369 (1989).
    • (1989) Trans. Cambridge Philos. Soc , vol.14 , pp. 250-369
    • Chree, C.1
  • 22
    • 21544481953 scopus 로고
    • Direct Measurement of Ultrasonic Stoneley Waves
    • R. O. Clauss and C. H. Palmer, “Direct Measurement of Ultrasonic Stoneley Waves,” Appl. Phys. Lett. 31, 547–548 (1977).
    • (1977) Appl. Phys. Lett , vol.31 , pp. 547-548
    • Clauss, R.O.1    Palmer, C.H.2
  • 23
    • 84956084646 scopus 로고
    • The Propagation of Elastic Waves in a Rod
    • J. L. B. Cooper, “The Propagation of Elastic Waves in a Rod,” Philos. Mag. 38, 1–22 (1947).
    • (1947) Philos. Mag , vol.38 , pp. 1-22
    • Cooper, J.L.B.1
  • 24
    • 33645632181 scopus 로고
    • Second Mode Vibrations of the Pochhammer-Chree Frequency Equation
    • C. W. Curtis, “Second Mode Vibrations of the Pochhammer-Chree Frequency Equation,” J. Appl. Phys. 25, 928 (1954).
    • (1954) J. Appl. Phys , vol.25 , pp. 928
    • Curtis, C.W.1
  • 25
    • 84955024470 scopus 로고
    • fiber die Ausbreitung von Ultraschallwellen in Drahten
    • E. Czerlinsky, “fiber die Ausbreitung von Ultraschallwellen in Drahten,” Akust. Z. 7, 12–17 (1942).
    • (1942) Akust. Z , vol.7 , pp. 12-17
    • Czerlinsky, E.1
  • 26
    • 0000830838 scopus 로고    scopus 로고
    • A Critical Study of the Hopkinson Pressure Bar
    • 1946–1948).
    • R. M. Davies, “A Critical Study of the Hopkinson Pressure Bar,” Phil. Trans. Roy. Soc. London A240, 375–457 (1946–1948).
    • Phil. Trans. Roy. Soc. London , vol.A240 , pp. 375-457
    • Davies, R.M.1
  • 27
    • 84955044240 scopus 로고
    • Three Dimensional Problems of an Elastic Cylinder with mixed, Time-Dependent End Conditions
    • Lehigh University, Bethlehem, PA
    • G. P. DeVault, “Three Dimensional Problems of an Elastic Cylinder with mixed, Time-Dependent End Conditions,” Doctoral dissertation (Lehigh University, Bethlehem, PA, 1959).
    • (1959) Doctoral dissertation
    • DeVault, G.P.1
  • 28
    • 0343353092 scopus 로고
    • Elastic Cylinder with Free Lateral Surface and Mixed Time-Dependent End Conditions
    • G. P. DeVault and C. W. Curtis, “Elastic Cylinder with Free Lateral Surface and Mixed Time-Dependent End Conditions,” J. Acoust. Soc. Am. 34, 421–432 (1962).
    • (1962) J. Acoust. Soc. Am , vol.34 , pp. 421-432
    • DeVault, G.P.1    Curtis, C.W.2
  • 29
    • 84953674098 scopus 로고
    • Experimentelle Untersuchung der Elastischen Eigenschwingungen Isotroper Kreiszylinder
    • P. D. Edmonds and E. Sittig, “Experimentelle Untersuchung der Elastischen Eigenschwingungen Isotroper Kreiszylinder,” Acustica 7, 299–305 (1957).
    • (1957) Acustica , vol.7 , pp. 299-305
    • Edmonds, P.D.1    Sittig, E.2
  • 31
    • 85012587852 scopus 로고
    • Properties of Elastic Surface Waves
    • edited by W. P. Mason and R. N. Thurston (Academic, New York
    • G. W. Faraell, “Properties of Elastic Surface Waves,” in Physical Acoustics, edited by W. P. Mason and R. N. Thurston (Academic, New York, 1970), Vol. 6, pp. 109–166.
    • (1970) Physical Acoustics , vol.6 , pp. 109-166
    • Faraell, G.W.1
  • 32
    • 84970134245 scopus 로고
    • Elastic Wave Propagation in Thin Layers
    • edited by W. P. Mason and R. N. Thurston (Academic, New York
    • G. W. Famell and E. L. Adler, “Elastic Wave Propagation in Thin Layers,” in Physical Acoustics, edited by W. P. Mason and R. N. Thurston (Academic, New York, 1972); Vol. 9, pp. 35–127.
    • (1972) Physical Acoustics , vol.9 , pp. 35-127
    • Famell, G.W.1    Adler, E.L.2
  • 33
    • 2642624425 scopus 로고
    • Dispersion Curves for Longitudinal and Flexural Waves in Solid Circular Cylinders
    • E. A. Flinn, “Dispersion Curves for Longitudinal and Flexural Waves in Solid Circular Cylinders,” J. Appl. Phys. 29, 1261–1262 (1958).
    • (1958) J. Appl. Phys , vol.29 , pp. 1261-1262
    • Flinn, E.A.1
  • 34
    • 84953660195 scopus 로고    scopus 로고
    • Three-Dimensional Investigation of the Propagation of Waves in Hollow Circular Cylinders, I, Analytic Foundation
    • (1959). II, Numerical Results,” J. Acoust. Soc. Am. 31, 573–578 (1959).
    • D. C. Gazis, “Three-Dimensional Investigation of the Propagation of Waves in Hollow Circular Cylinders, I, Analytic Foundation,” J. Acoust. Soc. Am. 31, 568–573 (1959). II, Numerical Results,” J. Acoust. Soc. Am. 31, 573–578 (1959).
    • J. Acoust. Soc. Am , vol.31 , pp. 568-573
    • Gazis, D.C.1
  • 35
    • 0012175395 scopus 로고
    • Stoneley-Wave Velocities for a Solid-Solid Interface
    • January
    • A. S. Ginzbarg and E. Strick, “Stoneley-Wave Velocities for a Solid-Solid Interface,” Bull. Seismol. Soc. Am. 48, 51–63 (January 1958).
    • (1958) Bull. Seismol. Soc. Am , vol.48 , pp. 51-63
    • Ginzbarg, A.S.1    Strick, E.2
  • 36
    • 0001458165 scopus 로고
    • Dispersion Relations for Elastic Waves in Bars
    • edited by I. N. Sneddon and R. Hill (North-Holland, Amsterdam; Interscience, New York
    • W. A. Green, “Dispersion Relations for Elastic Waves in Bars,” in Progress in Solid Mechanics, edited by I. N. Sneddon and R. Hill (North-Holland, Amsterdam; Interscience, New York, 1960), pp. 223–261.
    • (1960) Progress in Solid Mechanics , pp. 223-261
    • Green, W.A.1
  • 37
    • 0001480343 scopus 로고
    • Vibrations of Thick Cylindrical Shells
    • and “Vibrations of a Thick-Walled Cylindrical Shell—Comparison of the Exact Theory with Approximate Theories,” J. Acoust. Soc. Am. 32, 571–578 (1960).
    • J. E. Greenspon, “Vibrations of Thick Cylindrical Shells,” J. Acoust. Soc. Am. 31, 1682 (1959) and “Vibrations of a Thick-Walled Cylindrical Shell—Comparison of the Exact Theory with Approximate Theories,” J. Acoust. Soc. Am. 32, 571–578 (1960).
    • (1959) J. Acoust. Soc. Am , vol.31 , pp. 1682
    • Greenspon, J.E.1
  • 38
    • 14944375903 scopus 로고
    • Approximate Theory of Torsional Wave Propagation in Elastic Circular Composite Cylinders
    • D. W. Haines and P. C. Y. Lee, “Approximate Theory of Torsional Wave Propagation in Elastic Circular Composite Cylinders,” J. Acoust. Soc. Am. 49, 211–219 (1971).
    • (1971) J. Acoust. Soc. Am , vol.49 , pp. 211-219
    • Haines, D.W.1    Lee, P.C.Y.2
  • 39
    • 0015205607 scopus 로고
    • Axially Symmetric Torsional Waves in Circular Composite Cylinders
    • D. W. Haines and P. C. Y. Lee, “Axially Symmetric Torsional Waves in Circular Composite Cylinders,” J. Appl. Mech. Trans. ASME 38, 1042–1044 (1971).
    • (1971) J. Appl. Mech. Trans. ASME , vol.38 , pp. 1042-1044
    • Haines, D.W.1    Lee, P.C.Y.2
  • 40
    • 0347978418 scopus 로고
    • Longitudinal Modes of Elastic Waves in Isotropic Cylinders and Slabs
    • A. N. Holden, “Longitudinal Modes of Elastic Waves in Isotropic Cylinders and Slabs,” Bell Syst. Tech. J. 30, 956–969 (1951).
    • (1951) Bell Syst. Tech. J , vol.30 , pp. 956-969
    • Holden, A.N.1
  • 41
    • 0001810896 scopus 로고
    • Dispersion of Elastic Waves in Solid Circular Cylinders
    • G. E. Hudson, “Dispersion of Elastic Waves in Solid Circular Cylinders,” Phys. Rev. 63, 46–51 (1943).
    • (1943) Phys. Rev , vol.63 , pp. 46-51
    • Hudson, G.E.1
  • 42
    • 84933847726 scopus 로고
    • Tiber die Fortleitung von Ultraschallwellen in festen Staben
    • Theodor Heuter, “Tiber die Fortleitung von Ultraschallwellen in festen Staben,” Z. ange. Phys. 1, 274–289 (1949).
    • (1949) Z. ange. Phys , vol.1 , pp. 274-289
    • Heuter, T.1
  • 43
    • 84872391030 scopus 로고
    • Ultrasonic Velocity Dispersion in Solid Rods
    • T. F. Heuter, “Ultrasonic Velocity Dispersion in Solid Rods,” J. Acoust. Soc. Am. 22, 514–515 (1950).
    • (1950) J. Acoust. Soc. Am , vol.22 , pp. 514-515
    • Heuter, T.F.1
  • 44
    • 0012759172 scopus 로고
    • Propagation of Elastic Pulses in Metal Rods
    • D. S. Hughes, W. L. Pondrom, and R. L. Mims, “Propagation of Elastic Pulses in Metal Rods,” Phys. Rev. 75, 1552–1556 (1949).
    • (1949) Phys. Rev , vol.75 , pp. 1552-1556
    • Hughes, D.S.1    Pondrom, W.L.2    Mims, R.L.3
  • 47
    • 84979327349 scopus 로고
    • Uber Rayleigh-Wellen an der Oberflache zweier Medien
    • H. Koppe, “Uber Rayleigh-Wellen an der Oberflache zweier Medien,” Z. Angew. Math. Mech. 28, 355–360 (1948).
    • (1948) Z. Angew. Math. Mech , vol.28 , pp. 355-360
    • Koppe, H.1
  • 48
    • 0001829848 scopus 로고
    • The Fundamental Modes of Vibration of Uniform Beams for Medium Wavelength
    • G. J. Kynch, “The Fundamental Modes of Vibration of Uniform Beams for Medium Wavelength,” Brit. J. Appl. Phys. 8, 64–73 (1957).
    • (1957) Brit. J. Appl. Phys , vol.8 , pp. 64-73
    • Kynch, G.J.1
  • 49
    • 84955049474 scopus 로고
    • The Propagation of Waves in Composite Elastic Rods and Viscoelastic Rods
    • Princeton University
    • J. Lai, “The Propagation of Waves in Composite Elastic Rods and Viscoelastic Rods,” Ph. D. dissertation (Princeton University, 1968).
    • (1968) Ph. D. dissertation
    • Lai, J.1
  • 50
    • 0014972337 scopus 로고
    • Propagation of Harmonic Waves in a Composite Elastic Cylinder
    • Jai-Lue Lai, Earl H. Dowell, and Theodore R. Tauchert, “Propagation of Harmonic Waves in a Composite Elastic Cylinder,” J. Acoust. Soc. Am. 49, 220—228 (1971).
    • (1971) J. Acoust. Soc. Am , vol.49 , pp. 220-228
    • Lai, J.-L.1    Dowell, E.H.2    Tauchert, T.R.3
  • 51
    • 0345386775 scopus 로고
    • Wave Guides
    • Wiley, New York
    • H. R. L. Lamont, Wave Guides (Wiley, New York, 1950), pp. 67–72.
    • (1950) , pp. 67-72
    • Lamont, H.R.L.1
  • 52
    • 0017491050 scopus 로고
    • Use of Interface Waves for Nondestructive Inspection
    • IEEE Trans. Sonics Ultrason. SU-24
    • D. A. Lee and D. M. Corbly, “Use of Interface Waves for Nondestructive Inspection,” IEEE Trans. Sonics Ultrason. SU-24, 206–212 (1977).
    • (1977) , pp. 206-212
    • Lee, D.A.1    Corbly, D.M.2
  • 53
    • 84945309769 scopus 로고
    • Attenuation and Scattering of High Frequency Sound Waves in Metals and Glasses
    • W. P. Mason and H. J. McSkimin, “Attenuation and Scattering of High Frequency Sound Waves in Metals and Glasses,” J. Acoust. Soc. Am. 19, 464–473 (1947).
    • (1947) J. Acoust. Soc. Am , vol.19 , pp. 464-473
    • Mason, W.P.1    McSkimin, H.J.2
  • 54
    • 0003914961 scopus 로고
    • Physical Acoustics and the Properties of Solids
    • Van Nostrand, NY, Chap. II: “Types of Waves Transmitted in Solids.”
    • W. P. Mason, Physical Acoustics and the Properties of Solids (Van Nostrand, NY, 1958), Chap. II: “Types of Waves Transmitted in Solids.”
    • (1958)
    • Mason, W.P.1
  • 55
    • 84897912558 scopus 로고
    • Dispersion of Axially Symmetric Waves in Composite, Elastic Rods
    • H. D. McNiven, J. L. Sackman, and A. H. Shah, “Dispersion of Axially Symmetric Waves in Composite, Elastic Rods”, J. Acoust. Soc. Am. 36, 1602—1609 (1963).
    • (1963) J. Acoust. Soc. Am , vol.36 , pp. 1602-1609
    • McNiven, H.D.1    Sackman, J.L.2    Shah, A.H.3
  • 56
    • 0008914141 scopus 로고
    • Axially Symmetric Waves in Hollow, Elastic Rods: Part I
    • Part II: J. Acoust. Soc. Am. 40, 1073–1076 (1966).
    • H. D. McNiven, A. H. Shah, and J. L. Sackman, “Axially Symmetric Waves in Hollow, Elastic Rods: Part I,” J. Acoust. Soc. Am. 40, 784–792 (1966). Part II: J. Acoust. Soc. Am. 40, 1073–1076 (1966).
    • (1966) J. Acoust. Soc. Am , vol.40 , pp. 784-792
    • McNiven, H.D.1    Shah, A.H.2    Sackman, J.L.3
  • 57
    • 84916080138 scopus 로고
    • Controlled Dispersion of Axisymmetric Waves in Composite Rods
    • H. D. McNiven and Y. Mengi, “Controlled Dispersion of Axisymmetric Waves in Composite Rods,” J. Acoust. Soc. Am. 43, 691–696 (1968).
    • (1968) J. Acoust. Soc. Am , vol.43 , pp. 691-696
    • McNiven, H.D.1    Mengi, Y.2
  • 58
    • 0014973285 scopus 로고
    • Dispersion of Waves in Transversely Isotropic Rods
    • H. D. McNiven and Y. Mengi, “Dispersion of Waves in Transversely Isotropic Rods,” J. Acoust. Soc. Am. 49, 229–236 (1971).
    • (1971) J. Acoust. Soc. Am , vol.49 , pp. 229-236
    • McNiven, H.D.1    Mengi, Y.2
  • 59
    • 0004393586 scopus 로고
    • Propagation of Longitudinal Waves and Shear Waves in Cylindrical Rods at High Frequencies
    • H. J. McSkimin, “Propagation of Longitudinal Waves and Shear Waves in Cylindrical Rods at High Frequencies,” J. Acoust. Soc. Am. 28, 484–494 (1956).
    • (1956) J. Acoust. Soc. Am , vol.28 , pp. 484-494
    • McSkimin, H.J.1
  • 60
    • 0000987137 scopus 로고
    • Guided Wave Propagation in Elongated Cylinders and Plates
    • edited by W. P. Mason (Academic, New York
    • T. R. Meeker and A. H. Meitzler, “Guided Wave Propagation in Elongated Cylinders and Plates,” in Physical Acoustics—Principles and Methods, edited by W. P. Mason (Academic, New York, 1964), Vol. 1A, pp. 111–167.
    • (1964) Physical Acoustics—Principles and Methods , vol.1A , pp. 111-167
    • Meeker, T.R.1    Meitzler, A.H.2
  • 61
    • 0347672744 scopus 로고
    • Asymptotic Phase Velocities of Axisymmetric Waves in Composite Rods
    • Y. Mengi and H. D. McNiven, “Asymptotic Phase Velocities of Axisymmetric Waves in Composite Rods,” J. Acoust. Soc. Am. 42, 66–72 (1967).
    • (1967) J. Acoust. Soc. Am , vol.42 , pp. 66-72
    • Mengi, Y.1    McNiven, H.D.2
  • 62
    • 85003288445 scopus 로고
    • The Asymptotic Phase Velocities in a Two-Layer Plate
    • Y. Mengi and H. D. McNiven, “The Asymptotic Phase Velocities in a Two-Layer Plate,” J. Appl. Mech. 162–164 (1968).
    • (1968) J. Appl. Mech , pp. 162-164
    • Mengi, Y.1    McNiven, H.D.2
  • 63
    • 0015095608 scopus 로고
    • Axially Symmetric Waves in Transverseley Isotropic Rods
    • Y. Mengi and H. D. McNiven, “Axially Symmetric Waves in Transverseley Isotropic Rods,” J. Acoust. Soc. Am. 50, 248–257 (1971).
    • (1971) J. Acoust. Soc. Am , vol.50 , pp. 248-257
    • Mengi, Y.1    McNiven, H.D.2
  • 64
    • 0003136492 scopus 로고
    • Elastic Wave Propagation
    • edited by J. M. Growley, S. Juhasz, H. Liebowitz, and H. M. Abramson (Spartan, Washington, DC
    • J. Miklowitz, “Elastic Wave Propagation,” in Applied Mechanics Surveys, edited by J. M. Growley, S. Juhasz, H. Liebowitz, and H. M. Abramson (Spartan, Washington, DC, 1966), pp. 809–839.
    • (1966) Applied Mechanics Surveys , pp. 809-839
    • Miklowitz, J.1
  • 65
    • 85137162823 scopus 로고
    • The Propagation of Compressional Waves in a Dispersive-Elastic Rod
    • J. Miklowitz and C. R. Nisewanger, “The Propagation of Compressional Waves in a Dispersive-Elastic Rod,” J. Appl. Mech. 24, 240–244, 1957.
    • (1957) J. Appl. Mech , vol.24 , pp. 240-244
    • Miklowitz, J.1    Nisewanger, C.R.2
  • 66
    • 0000646130 scopus 로고
    • Waves and Vibrations in Isotropic Elastic Plates
    • Proceedings of the First Symposium on Naval Structural Mechanics, edited by J. N. Goodier and N. J. Hoff, (Pergamon, New York, 1960), pp. 199–232.
    • R. D. Mindlin, “Waves and Vibrations in Isotropic Elastic Plates,” in Structural Mechanics. Proceedings of the First Symposium on Naval Structural Mechanics, 1958, edited by J. N. Goodier and N. J. Hoff, (Pergamon, New York, 1960), pp. 199–232.
    • (1958) Structural Mechanics
    • Mindlin, R.D.1
  • 67
    • 84996315974 scopus 로고
    • Axially Symmetric Waves in Elastic Rods
    • R. D. Mindlin and H. D. McNiven, “Axially Symmetric Waves in Elastic Rods,” J. Appl. Mech. 27, 145–151 (1960).
    • (1960) J. Appl. Mech , vol.27 , pp. 145-151
    • Mindlin, R.D.1    McNiven, H.D.2
  • 68
    • 77952959063 scopus 로고
    • Dispersion of Compressional Waves in Isotropic Rods of Rectangular Cross Section
    • R. W. Morse, “Dispersion of Compressional Waves in Isotropic Rods of Rectangular Cross Section,” J. Acoust. Soc. Am. 20, 833–838 (1948).
    • (1948) J. Acoust. Soc. Am , vol.20 , pp. 833-838
    • Morse, R.W.1
  • 69
    • 0000777595 scopus 로고
    • The Velocity of Compressional Waves in Rods of Rectangular Cross Section
    • R. W. Morse, “The Velocity of Compressional Waves in Rods of Rectangular Cross Section,” J. Acoust. Soc. Am. 22, 219–223 (1950).
    • (1950) J. Acoust. Soc. Am , vol.22 , pp. 219-223
    • Morse, R.W.1
  • 70
    • 0015613525 scopus 로고
    • Elastic Waveguide Propagation in an Infinite Isotropic Solid Cylinder that is Subjected to a Static Axial Stress and Strain
    • G. Mott, “Elastic Waveguide Propagation in an Infinite Isotropic Solid Cylinder that is Subjected to a Static Axial Stress and Strain,” J. Acoust. Soc. Am. 53, 1129—1133 (1973).
    • (1973) J. Acoust. Soc. Am , vol.53 , pp. 1129-1133
    • Mott, G.1
  • 71
    • 0001296167 scopus 로고
    • Dispersion of Elastic Waves in a Cylindrical Rod by a Wide-BandShort-Duration Pulse Technique
    • J. Oliver, “Dispersion of Elastic Waves in a Cylindrical Rod by a Wide-BandShort-Duration Pulse Technique,” J. Acoust. Soc. Am. 29, 189–194 (1957).
    • (1957) J. Acoust. Soc. Am , vol.29 , pp. 189-194
    • Oliver, J.1
  • 72
    • 29144497709 scopus 로고
    • Tables of Modified Quotients of Bessel Functions of the First KindforReal and Imaginary Arguments
    • Columbia U.P., New York
    • M. Gnoe, Tables of Modified Quotients of Bessel Functions of the First KindforReal and Imaginary Arguments (Columbia U.P., New York, 1958).
    • (1958)
    • Gnoe, M.1
  • 73
    • 85024544038 scopus 로고
    • Dispersion of Axially Symmetric Waves in Elastic Rods
    • Morio Onoe, H. D. McNiven, and R. D. Mindlin, “Dispersion of Axially Symmetric Waves in Elastic Rods,” J. Appl. Mech. 29, 729–734 (1962).
    • (1962) J. Appl. Mech , vol.29 , pp. 729-734
    • Onoe, M.1    McNiven, H.D.2    Mindlin, R.D.3
  • 74
    • 0010369338 scopus 로고
    • Surface Wave Phenomena in Ultrasonics
    • T. E. Owen, “Surface Wave Phenomena in Ultrasonics,” Prog. Appl. Mater. Res. 6, 69–87 (1964).
    • (1964) Prog. Appl. Mater. Res , vol.6 , pp. 69-87
    • Owen, T.E.1
  • 75
    • 85007950789 scopus 로고
    • Dispersion of Flexural Waves in an Elastic, Circular Cylinder
    • Yih-Hsing Pao and R. D. Mindlin, “Dispersion of Flexural Waves in an Elastic, Circular Cylinder,” J. Appl. Mech. Trans. ASME 27, 513–520 (1960).
    • (1960) J. Appl. Mech. Trans. ASME , vol.27 , pp. 513-520
    • Pao, Y.-H.1    Mindlin, R.D.2
  • 76
    • 85024515626 scopus 로고
    • The Dispersion of Flexural Waves in an Elastic, Circular Cylinder—Part 2
    • Y. H. Pao, “The Dispersion of Flexural Waves in an Elastic, Circular Cylinder—Part 2,” J. Appl. Mech. 29, 61–64 (1962).
    • (1962) J. Appl. Mech , vol.29 , pp. 61-64
    • Pao, Y.H.1
  • 77
    • 84941404603 scopus 로고
    • Uber die Fortpflanzungsgeschwindig-keiten kleiner Schwingungen in einem unbegrenzten isotropen Kreiscylinder
    • L. Pochhammer, “Uber die Fortpflanzungsgeschwindig-keiten kleiner Schwingungen in einem unbegrenzten isotropen Kreiscylinder,” J. fur reine und angewandte Math. (Crelle) 81, 324–336 (1876).
    • (1876) J. fur reine und angewandte Math. (Crelle) , vol.81 , pp. 324-336
    • Pochhammer, L.1
  • 78
    • 0011218849 scopus 로고
    • Dispersion Effects in Ultrasonic Waveguides and Their Importance in the Measurement of Attenuation
    • M. Redwood, “Dispersion Effects in Ultrasonic Waveguides and Their Importance in the Measurement of Attenuation,” Proc. Phys. Soc. London B70, 721—737 (1957).
    • (1957) Proc. Phys. Soc. London , vol.B70 , pp. 721-737
    • Redwood, M.1
  • 79
    • 33645654776 scopus 로고
    • The Generation of Secondary Signals in the Propagation of Ultrasonic Waves in Bounded Solids
    • M. Redwood, “The Generation of Secondary Signals in the Propagation of Ultrasonic Waves in Bounded Solids,” Proc. Phys. Soc. London 72, 841–853 (1959).
    • (1959) Proc. Phys. Soc. London , vol.72 , pp. 841-853
    • Redwood, M.1
  • 80
    • 0348005731 scopus 로고
    • Velocity and Attenuation of a Narrow Band, High-Frequency Compressional Pulse in a Solid Wave Guide
    • M. Redwood, “Velocity and Attenuation of a Narrow Band, High-Frequency Compressional Pulse in a Solid Wave Guide,” J. Acoust. Soc. Am. 31, 442–448 (1959).
    • (1959) J. Acoust. Soc. Am , vol.31 , pp. 442-448
    • Redwood, M.1
  • 81
    • 0003986837 scopus 로고
    • Mechanical Waveguides: the Propagation of Acoustic and Ultrasonic Waves in Fluids and Solids vsith Boundaries
    • Pergamon, New York
    • M. R. Redwood, Mechanical Waveguides: the Propagation of Acoustic and Ultrasonic Waves in Fluids and Solids vsith Boundaries (Pergamon, New York, 1960).
    • (1960)
    • Redwood, M.R.1
  • 82
    • 33645696014 scopus 로고
    • On the Propagation of High Frequency Compressional Waves in Isotropic Cylinders
    • London
    • M. Redwood and J. Lamb, “On the Propagation of High Frequency Compressional Waves in Isotropic Cylinders,” Proc. Phys. Soc. London B70, 136–143 (1957).
    • (1957) Proc. Phys. Soc , vol.B70 , pp. 136-143
    • Redwood, M.1    Lamb, J.2
  • 83
    • 0014574385 scopus 로고
    • Dispersion of Flexural Waves in Circular Bimaterial Cylinders—Theoretical Treatment
    • R. C. Reuter, Jr., “Dispersion of Flexural Waves in Circular Bimaterial Cylinders—Theoretical Treatment,” J. Acoust. Soc. Am. 46, 643–648 (1969).
    • (1969) J. Acoust. Soc. Am , vol.46 , pp. 643-648
    • Reuter, R.C.1
  • 85
    • 22244488810 scopus 로고
    • Relationship Between Plate and Surface Modes of a Tube
    • R. L. Rosenberg and R. N. Thurston, “Relationship Between Plate and Surface Modes of a Tube,” J. Acoust. Soc. Am. 61, 1499–1502 (1977).
    • (1977) J. Acoust. Soc. Am , vol.61 , pp. 1499-1502
    • Rosenberg, R.L.1    Thurston, R.N.2
  • 87
    • 0002805518 scopus 로고    scopus 로고
    • On the Stoneley Wave Equation
    • II, 159–164, Proc. Ned. Akad. v. Wetensch. Amst. 45, 20–25, and 159–164 (1942).
    • J. G. Scholte, “On the Stoneley Wave Equation,” 1, 20—25, II, 159–164, Proc. Ned. Akad. v. Wetensch. Amst. 45, 20–25, and 159–164 (1942).
    • , vol.1 , pp. 20-25
    • Scholte, J.G.1
  • 88
    • 84955015681 scopus 로고    scopus 로고
    • On Surface Waves in a Stratisfied Medium I
    • “On Surface Waves in a Stratified Medium II,” 45, 449-456; “On Surface Waves in a Stratified Medium m,” 45, 516–523, Akademie Wetenschappen, Amsterdam-Afdeel-ing Natuurkunde Proceeding (1942).
    • J. G. Scholte, “On Surface Waves in a Stratisfied Medium I,” 45, 380-386; “On Surface Waves in a Stratified Medium II,” 45, 449-456; “On Surface Waves in a Stratified Medium m,” 45, 516–523, Akademie Wetenschappen, Amsterdam-Afdeel-ing Natuurkunde Proceeding (1942).
    • , vol.45 , pp. 380-386
    • Scholte, J.G.1
  • 89
    • 0002031956 scopus 로고
    • The Range of Possible Existence of Stoneley Waves and Some Related Problems
    • (Tokyo)
    • K. Sezawa and K. Kanai, “The Range of Possible Existence of Stoneley Waves and Some Related Problems,” Bull. Earthquake Res. Inst. (Tokyo) 17, 1—8 (1939).
    • (1939) Bull. Earthquake Res. Inst , vol.17 , pp. 1-8
    • Sezawa, K.1    Kanai, K.2
  • 90
    • 33744632467 scopus 로고
    • The Dispersion of Supersonic Waves in Cylindrical Rods of Polycrystalline Silver, Nickel, and Magnesium
    • S. K. Shear and A. B. Focke, “The Dispersion of Supersonic Waves in Cylindrical Rods of Polycrystalline Silver, Nickel, and Magnesium,” Phys. Rev. 57, 532—537 (1940).
    • (1940) Phys. Rev , vol.57 , pp. 532-537
    • Shear, S.K.1    Focke, A.B.2
  • 91
    • 84867243273 scopus 로고
    • Zur Systematik der elastischen Eigenschwingungen isotroper Kreiszylinder
    • E. Sittig, “Zur Systematik der elastischen Eigenschwingungen isotroper Kreiszylinder,” Acustica 7, 175–180 (1957).
    • (1957) Acustica , vol.7 , pp. 175-180
    • Sittig, E.1
  • 92
    • 0014883773 scopus 로고
    • Visualization of Plane-Strain Vibration Modes of a Cylinder Capable of Producing Sound Radiation
    • E. K. Sittig and G. A. Coquin, “Visualization of Plane-Strain Vibration Modes of a Cylinder Capable of Producing Sound Radiation,” J. Acoust. Soc. Am. 48, 1150—1159 (1970).
    • (1970) J. Acoust. Soc. Am , vol.48 , pp. 1150-1159
    • Sittig, E.K.1    Coquin, G.A.2
  • 93
    • 85137155277 scopus 로고
    • Longitudinal Impact of a Semi-Infinite Circular Elastic Bar
    • R. Skalak, “Longitudinal Impact of a Semi-Infinite Circular Elastic Bar,” J. Appl. Mech. 24, 59–64 (1957).
    • (1957) J. Appl. Mech , vol.24 , pp. 59-64
    • Skalak, R.1
  • 94
    • 0015086532 scopus 로고
    • Numerical Solutibns of the Dispersion Relation for Axial Stress Waves in Isotropic Elastic Cylinders
    • IEEE Trans. Sonics Ultrason. SU-18
    • S. H. Smith, “Numerical Solutibns of the Dispersion Relation for Axial Stress Waves in Isotropic Elastic Cylinders,” IEEE Trans. Sonics Ultrason. SU-18, 123–127 (1971).
    • (1971) , pp. 123-127
    • Smith, S.H.1
  • 95
    • 0007044146 scopus 로고
    • On-the Integration of the Equations of Motion in the Classical Theory of Elasticity
    • 34 50
    • Eli Sternberg, “On-the Integration of the Equations of Motion in the Classical Theory of Elasticity,” Arch. Rat. Mech. Anal. 6, 34 50 (1960).
    • (1960) Arch. Rat. Mech. Anal , vol.6
    • Sternberg, E.1
  • 96
    • 0000188356 scopus 로고
    • Elastic Waves at the Surface of Separation of Two Solids
    • R. Stoneley, “Elastic Waves at the Surface of Separation of Two Solids,” Proc. R. Soc. London 106, 416–428 (1924).
    • (1924) Proc. R. Soc. London , vol.106 , pp. 416-428
    • Stoneley, R.1
  • 97
    • 0002387086 scopus 로고    scopus 로고
    • Wave Propagation in Fluids and Normal Solids
    • edited by W. P. Mason (Academic, New York, 1964), Vol. 1A, p. 74.
    • R. N. Thurston, “Wave Propagation in Fluids and Normal Solids,” pp. 1–110 in Physical Acoustics-Principles and Methods, edited by W. P. Mason (Academic, New York, 1964), Vol. 1A, p. 74.
    • Physical Acoustics-Principles and Methods , pp. 1-110
    • Thurston, R.N.1
  • 98
    • 0016950453 scopus 로고
    • Torsional Acoustic Modes in a Clad Rod
    • IEEE Trans. Sonics Ultrason. SU-23
    • R. N. Thurston, “Torsional Acoustic Modes in a Clad Rod,” IEEE Trans. Sonics Ultrason. SU-23, 154–161 (1976).
    • (1976) , pp. 154-161
    • Thurston, R.N.1
  • 99
    • 0009850896 scopus 로고
    • Dispersion of Ultrasonic Pulse Velocity in Cylindrical Rods
    • L. Y. Tu, J. N. Brennan, and J. A. Sauer, “Dispersion of Ultrasonic Pulse Velocity in Cylindrical Rods,” J. Acoust. Soc. Am. 27, 550–555 (1955).
    • (1955) J. Acoust. Soc. Am , vol.27 , pp. 550-555
    • Tu, L.Y.1    Brennan, J.N.2    Sauer, J.A.3
  • 100
    • 1842859391 scopus 로고
    • Ultrasonic Pulse Transmission in Cylindrical Waveguides
    • R. H. Varey, “Ultrasonic Pulse Transmission in Cylindrical Waveguides,” J. Phys. D: Appl. Phys. 9, 1661–1669 (1976).
    • (1976) J. Phys. D: Appl. Phys , vol.9 , pp. 1661-1669
    • Varey, R.H.1
  • 101
    • 0004176209 scopus 로고
    • Rayleigh and Lamb Waves
    • Plenum, New York
    • I. A. Viktorov, Rayleigh and Lamb Waves (Plenum, New York, 1967).
    • (1967)
    • Viktorov, I.A.1
  • 102
    • 0014604002 scopus 로고
    • Some Problems in the Theory of Guided Microsonic Waves
    • IEEE Trans. Microwave Theory and Tech., MTT-17
    • R. A. Waldron, “Some Problems in the Theory of Guided Microsonic Waves,” IEEE Trans. Microwave Theory and Tech., MTT-17, 893–904 (1969).
    • (1969) , pp. 893-904
    • Waldron, R.A.1
  • 103
    • 21244475389 scopus 로고
    • Axially Symmetric Wave Propagation. in a Two-Layered Cylinder
    • J. S. Whittier and J. P. Jones, “Axially Symmetric Wave Propagation.in a Two-Layered Cylinder,” Int. J. Solids Struct. 3, 657–675 (1967).
    • (1967) Int. J. Solids Struct , vol.3 , pp. 657-675
    • Whittier, J.S.1    Jones, J.P.2
  • 104
    • 53249138957 scopus 로고    scopus 로고
    • Wave Propagation Along a Sapphire Rod
    • (1977). L. O. Wilson and M. A. Gatto, “Torsional Vibrations of a Sapphire Rod: A Numerical Description,” J. Acoust. Soc. Am. 61, 1004–1013 (1977). R. N. Thurston and L. O. Wilson, “Torsional Waves in a Saphhire Rod at Low Frequencies,” IEEE Trans. Sonics Ultrason. SU-24 (5), 305–312 (September 1977).
    • Lynn O. Wilson, “Wave Propagation Along a Sapphire Rod,” J. Acoust. Soc. Am. 61, 995—1003 (1977). L. O. Wilson and M. A. Gatto, “Torsional Vibrations of a Sapphire Rod: A Numerical Description,” J. Acoust. Soc. Am. 61, 1004–1013 (1977). R. N. Thurston and L. O. Wilson, “Torsional Waves in a Saphhire Rod at Low Frequencies,” IEEE Trans. Sonics Ultrason. SU-24(5), 305–312 (September 1977).
    • J. Acoust. Soc. Am , vol.61 , pp. 995-1003
    • Wilson, L.O.1
  • 105
    • 84953681773 scopus 로고
    • An Experimental and Theoretical Investigation of Elastic Wave Propagation in a Cylinder
    • Also, by the same title, Ph.D. dissertation (UCLA, April 1962).
    • Joseph Zemanek, Jr., “An Experimental and Theoretical Investigation of Elastic Wave Propagation in a Cylinder,” J. Acoust. Soc. Am. 51, 265–283 (1972). Also, by the same title, Ph.D. dissertation (UCLA, April 1962).
    • (1972) J. Acoust. Soc. Am , vol.51 , pp. 265-283
    • Zemanek, J.1


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