Forced oscillations of Timoshenko beams

Kusano, Takaŝi; Yoshida, Norio

doi:10.1090/qam/793524

Authors: Takaŝi Kusano and Norio Yoshida
Journal: Quart. Appl. Math. 43 (1985), 167-177
MSC: Primary 73K12; Secondary 35Q99
DOI: https://doi.org/10.1090/qam/793524
MathSciNet review: 793524
Full-text PDF Free Access

C. Y. Chan and Eutiquio C. Young, Comparison theorems for a coupled system of singular hyperbolic differential inequalities. I. Time-independent uncoupling coefficients, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. (8) 66 (1979), no. 4, 250–254 (English, with Italian summary). MR 606429
Charles Kahane, Oscillation theorems for solutions of hyperbolic equations, Proc. Amer. Math. Soc. 41 (1973), 183–188. MR 324185, DOI https://doi.org/10.1090/S0002-9939-1973-0324185-4

K. Kreith, Oscillation theory, Lecture Notes in Mathematics, vol. 324, Springer-Verlag, Berlin, 1973

Takaŝi Kusano and Manabu Naito, Oscillation criteria for a class of perturbed Schrödinger equations, Canad. Math. Bull. 25 (1982), no. 1, 71–77. MR 657654, DOI https://doi.org/10.4153/CMB-1982-010-3

S. Timoshenko, D. H. Young and W. Weaver, Jr., Vibration problems in engineering, Fourth Edition, Wiley, New York, 1974

C. C. Travis, Comparison and oscillation theorems for hyperbolic equations, Utilitas Math. 6 (1974), 139–151. MR 358040

T. M. Wang and J. E. Stephens, Natural frequencies of Timoshenko beams on Pasternak foundations, J. Sound and Vibration 51, 149–155 (1977)

Eutiquio C. Young, Comparison and oscillation theorems for singular hyperbolic equations, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Nat. (8) 59 (1975), no. 5, 383–391 (1976) (English, with Italian summary). MR 463630