Forced motions of cantilever planar-curved bars considered as discrete systems by the flexibility method

DOI10.1007/BF01170444zbMath0525.73074MaRDI QIDQ593860

Dimitrios E. Panayotounakos

Publication date: 1983

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

natural frequenciesexact solutionscantilever circular barcantilever planar-curved bardiscrete system of n points of massgeneralized flexibility matrixinfluences of shearing forces and rotatory inertiaslumped under form of small rectangular parallelepipedssmall cubic body attached at free endthree-dimensional forced harmonic motionstwo independent vectorial differential equations of forced harmonic vibrationsvibrating vertically to plane of bar

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Vibrations in dynamical problems in solid mechanics (74H45)

Related Items (1)

Analytical solution of polynomial equations with an application to the quintic equation

Cites Work

• Flexibility matrix for skew-curved beams
• The differential equations of uniform skew-curved bars in harmonic motion
• The Dynamically Loaded Circular Beam on an Elastic Foundation
• Effects of transverse shear and rotatory inertia on the coupled twist-bending vibrations of circular rings
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