TY - JOUR

T1 - Resonance interaction of bending and shear modes in a nonuniform timoshenko beam

AU - Perel, M. V.

AU - Fialkovsky, I. V.

AU - Kiselev, A. P.

PY - 2002/1/1

Y1 - 2002/1/1

N2 - Propagation of modal solutions in a smoothly inhomogeneous Timoshenko beam is considered. An asymptotic description is given to the interaction of high-frequency bending and shear modes that occurs if their phase velocities intersect at some point at a nonzero angle. A similar problem on the propagation of discontinuities is also considered. The results are presented in the generalized form, so that they have applications to problems on the interaction of other types of waves, e.g., water waves, electromagnetic waves, etc.

AB - Propagation of modal solutions in a smoothly inhomogeneous Timoshenko beam is considered. An asymptotic description is given to the interaction of high-frequency bending and shear modes that occurs if their phase velocities intersect at some point at a nonzero angle. A similar problem on the propagation of discontinuities is also considered. The results are presented in the generalized form, so that they have applications to problems on the interaction of other types of waves, e.g., water waves, electromagnetic waves, etc.

UR - http://www.scopus.com/inward/record.url?scp=52649163463&partnerID=8YFLogxK

U2 - 10.1023/A:1016354430209

DO - 10.1023/A:1016354430209

M3 - Article

AN - SCOPUS:52649163463

VL - 111

SP - 3775

EP - 3790

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 5

ER -