Resonance interaction of bending and shear modes in a nonuniform Timoshenko beam

DOI10.1023/A:1016354430209zbMath1028.74032OpenAlexW13836737MaRDI QIDQ1850785

I. V. Fialkovsky, Maria V. Perel, Aleksei P. Kiselev

Publication date: 6 January 2003

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1016354430209

zbMATH Keywords

Fourier transformphase velocitiespropagation of discontinuitiesboundary-layer methodmodal solutionsHadamard expansionhigh-frequency asymptotic expansionhigh-frequency bendinginhomogeneous Timoshenko beamshear modesstretched variable

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics (74H10) Linear waves in solid mechanics (74J05)

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