Relation for the amplitudes of acoustic waves excited by thin elastic plates
Tóm tắt
Relations between the amplitudes of acoustic waves excited by a thin elastic plate under the effect of external forces and the amplitudes of waves scattered by this plate are obtained. Two cases are considered: when the plate separates acoustic media filling two half-spaces and when it separates acoustic media filling an acoustic waveguide. The energy conservation law is used to derive the identities that determine the relations between the amplitudes of acoustic waves radiated by a thin elastic plate under the action of forces.
Tài liệu tham khảo
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 3: Quantum Mechanics: Non-Relativistic Theory, 4th ed. (Nauka, Moscow, 1989; Pergamon, New York, 1977).
H. Hönl, A. W. Maue, and K. Westpfahl, Theorie der Beugung (Springer, Berlin, 1961; Mir, Moscow, 1964).
B. P. Belinskii and D. P. Kouzov, Akust. Zh. 26, 13 (1980) [Sov. Phys. Acoust. 26, 8 (1980)].
B. P. Belinskii, Akust. Zh. 30, 154 (1984) [Sov. Phys. Acoust. 30, 90 (1984)].
G. A. Kriegsmann, A. N. Norris, and E. L. Reiss, J. Sound Vibr. 99, 301 (1985).
E. L. Shenderov, Sound Radiation and Scattering (Sudostroenie, Leningrad, 1989).
B. P. Belinskiy, J. Sound Vibr. 139, 522 (1990).
I. V. Andronov, Akust. Zh. 39, 13 (1993) [Acoust. Phys. 39, 5 (1993)].
Y. P. Guo, Proc. R. Soc. London, Ser. A 451, 543 (1995).
I. V. Andronov and B. P. Belinskiy, J. Acoust. Soc. Am. 103, 673 (1998).
G. A. Kriegsmann, J. Acoust. Soc. Am. 107, 1121 (2000).
L. M. Lyamshev, Dokl. Akad. Nauk SSSR 125, 1231 (1959) [Sov. Phys. Dokl. 4, 406 (1959)].
Yu. I. Bobrovnitskii, Akust. Zh. 49, 14 (2003) [Acoust. Phys. 49, 10 (2003)].
L. M. Lyamshev, Akust. Zh. 5, 501 (1959) [Sov. Phys. Acoust. 5, 518 (1959)].
E. L. Shenderov, Akust. Zh. 12, 387 (1966) [Sov. Phys. Acoust. 12, 336 (1966)].
E. L. Shenderov, Wave Problems in Hydroacoustics (Sudostroenie, Leningrad, 1972).
Yu. I. Bobrovnitskii, J. Sound Vibr. 152(1), 175 (1992).
D. P. Kouzov, G. L. Nikitin, O. B. Agranova, and V. G. Yakovleva, in Proceedings of XXIII School-Seminar on Analysis and Synthesis in Nonlinear Mechanical Vibratory Systems (Inst. Probl. Mashinoved. Ross. Akad. Nauk, St. Petersburg, 1996), p. 63.