Eigenoscillations of mechanical systems with boundary conditions containing the frequency
Boris P. Belinskiy, Jerald P. Dauer · Quarterly of Applied Mathematics · 1998
The problem of eigenoscillations of beam-mass systems is investigated and four examples are developed. For such systems the corresponding Sturm-Liouville problems contain the eigenvalue parameter in the boundary conditions. It is shown that the eigenfunctions for the systems considered form a basis of the appropriate Hilbert space. Rayleigh-Ritz formulas are also developed. Some lower bound estimations for eigenfrequencies are also found.