Effects of initial shapes on the natural frequencies of a beam with initial curvature and axial constraints

DOI10.1016/0093-6413(94)90022-1zbMATH Open0835.73034OpenAlexW1984898040MaRDI QIDQ1804391

Yanyan Li

Publication date: 16 April 1996

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0093-6413(94)90022-1

zbMATH Keywords

strain energyboundary conditionsEuler-Bernoulli beamLagrangian approachpotential energylinearized equation of motionassumed mode methodlinear spring

Mathematics Subject Classification ID

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

Related Items (2)

Natural frequencies and mode shapes of arbitrary beam structures with arbitrary boundary conditions ⋮ Effect of a ``slight curvature of the axis of a thin-walled nonprismatic beam on its free vibration

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