Title :
An asymptotic theory of resonance interaction of shear and bending modes in a non-uniform Timoshenko beam
Author :
Perel, Maria V. ; Fialkovsky, Ignat V. ; Kiaelev, A.P.
Author_Institution :
Phys. Fac., St. Petersburg Univ., Russia
Abstract :
The propagation of modes in a smoothly non-uniform Timoshenko beam is considered. We present an asymptotic theory of interaction of two modes whose phase velocities intersect at a single point and are non-tangent there. The high-frequency regime in the time-harmonic case and propagation of discontinuities are both considered
Keywords :
bending; elastic waves; resonance; waves; asymptotic theory; bending modes; discontinuities; high-frequency regime; phase velocities; propagation; resonance interaction; shear mode; smoothly nonuniform Timoshenko beam; time-harmonic case; Acoustic beams; Electromagnetic scattering; Electromagnetic waveguides; Equations; Frequency; H infinity control; Mechanical engineering; Physics; Resonance; Surface acoustic waves;
Conference_Titel :
Day on Diffraction Millenniuym Workshop, 2000. International Seminar
Conference_Location :
St. Petersburg
Print_ISBN :
5-7997-0252-4
DOI :
10.1109/DD.2000.902364
