Vibration and buckling of rotating flexible rods at transitional parameter values

DOI10.1007/BF00037540zbMath0414.73049MaRDI QIDQ599566

Arje Nachman, William D. Lakin

Publication date: 1979

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

zbMATH Keywords

fourth-order boundary value problemuniform approximationssingular perturbation techniquescritical buckling rotation ratesoff-clamped rodtransitional parameter rangeuniform flexible rodvibration eigenvalues

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45) Bifurcation and buckling (74G60) Singular perturbations of ordinary differential equations (34D15)

Related Items (3)

Modelling and bifurcation analysis of internal cantilever beam system on a steadily rotating ring ⋮ Transverse buckling of a rotating Timoshenko beam ⋮ Predicting nonlinear dynamic response of internal cantilever beam system on a steadily rotating ring

Cites Work

• Vibrations of a rotating flexible rod clamped off the axis of rotation
• On the differential equation of a rapidly rotating slender rod
• A FOURTH-ORDER EIGENVALUE PROBLEM WITH A TURNING POINT AT THE BOUNDARY
• Unstable vibrations and buckling of rotating flexible rods
• EFFECT OF A SMALL TIP MASS ON THE VIBRATIONS OF A RAPIDLY ROTATING FLEXIBLE ROD
• ON THE CHOICE OF STANDARD SOLUTIONS FOR A HOMOGENEOUS LINEAR DIFFERENTIAL EQUATION OF THE SECOND ORDER

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