ON RANDOM TRANSVERSE VIBRATIONS OF A ROTATING BEAM WITH A TIP MASS: METHOD OF INTEGRAL EQUATIONS

DOI10.1093/qjmam/36.1.97zbMath0508.73077OpenAlexW2023564008MaRDI QIDQ4747706

Hyun Joo Ahn

Publication date: 1983

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/36.1.97

zbMATH Keywords

spectrumtransverse vibrationsrandom elementfourth-order differential equationintegral-equation methodanalytic lower boundsarbitrary coefficientboundary conditions dependent on eigenvalue parametercarrying tip mass at free endelastically restrained at one endfirst and second natural frequenciesno accumulation points in finite complex lambda-planepresent in boundary conditionunbounded sequence of positive eigenvaluesuniform rotating beam

Mathematics Subject Classification ID

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Discrete Sturm-Liouville problems with nonlinear parameter in the boundary conditions ⋮ Spectral properties of discrete Sturm-Liouville problems with two squared eigenparameter-dependent boundary conditions ⋮ The influences of both offset and mass moment of inertia of a tip mass on the dynamics of a centrifugally stiffened visco-elastic beam ⋮ An expansion theorem for regular elliptic eigenvalue problem with eigenvalue parameter in the boundary conditions. ⋮ On spectral properties of dissipative fourth order boundary-value problem with a spectral parameter in the boundary condition ⋮ On the completeness of eigenfunctions of a discontinuous Dirac operator with an eigenparameter in the boundary condition ⋮ Eigenvalues of a linear fourth-order differential operator with squared spectral parameter in a boundary condition ⋮ Eigenvalues of discrete Sturm-Liouville problems with nonlinear eigenparameter dependent boundary conditions ⋮ Stability of Dynamical Systems with a Multiplicative White Noise ⋮ Spectra of a discrete Sturm-Liouville problem with eigenparameter-dependent boundary conditions in Pontryagin space

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